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(09-99)
Xiaoqun Zhang, Martin Burger and Stanley Osher, A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration, November 2009
(09-98)
J. Ye, I. Yanovsky, B. Dong, R. Gandlin, A. Brandt and S. Osher, Multigrid Narrow Band Surface Reconstruction via Level Set Functions, November 2009
(09-97)
Songting Luo, Yifeng Yu and Hongkai Zhao, A New Approximation for Effective Hamiltonians for Homogenization of a Class of Hamilton-Jacobi Equations, November 2009
(09-96)
Hao Gao and Hongkai Zhao, Multilevel Bioluminescence Tomography Based on Radiative Transfer Equation. Part 2: Total Variation and l1 Data Fidelity, November 2009
(09-95)
Hao Gao and Hongkai Zhao, Multilevel Bioluminescence Tomography Based on Radiative Transfer Equation. Part 1: l1 Regularization, November 2009
(09-94)
Hao Gao and Hongkai Zhao, A Fast Forward Solver of Radiative Transfer Equation, November 2009
(09-93)
Matt Elsey, Selim Esedoglu and Peter Smereka, Diffusion Generated Motion for Recrystallization and Grain Growth, November 2009
(09-92)
Jing Xu, Xue-Cheng Tai and Li-Lian Wang, A Two-Level Domain Decomposition Method for Image Restoration, November 2009
(09-91)
Zhijian Rong, Li-Lian Wang and Xue-Cheng Tai, Adaptive Wavelet Collocation Methods for Image Segmentation Using TV-Allen-Cahn Type Models, November 2009
(09-90)
Tom Goldstein, A Multilevel Decomposition Method for Sparse Signal Recovery in a Fourier Basis, November 2009
(09-89)
Yanghong Huang and Andrea L. Bertozzi, Self-Similar Blowup Solutions to an Aggregation Equation in $R^N$, November 2009
(09-87)
Miyoun Jung, Xavier Bresson, Tony F. Chan, Luminita A. Vese, Nonlocal Mumford-Shah Regularizers for Color Image Restoration, November 2009
(09-86)
Andrea L. Bertozzi, Thomas Laurent and Jesus Rosado, $L^p$ Theory for the Multidimensional Aggregation Equation, November 2009
(09-83)
Judah Jacobson, A Formalization of Darcs Patch Theory Using Inverse Semigroups, October 2009
(09-82)
Chunlin Wu, Juyong Zhang and Xue-Cheng Tai, Augmented Lagrangian Method for Total Variation Restoration with Non-Quadratic Fidelity, October 2009
(09-81)
Paul A. Jones, Jeffrey Brantingham and Lincoln R. Chayes, Statistical Models of Criminal Behavior: The Effects of Law Enforcement Actions, October 2009
(09-80)
Miyoun Jung, Antonio Marquina and Luminita A. Vese, Variational Multiframe Restoration of Images Degraded by Noisy (Stochastic) Blur Kernels, September 2009
(09-79)
Yilun Wang and Wotao Yin, Compressed Sensing via Iterative Support Detection}, September 2009
(09-78)
Carola-Bibiane Schönlieb and Andrea Bertozzi, Unconditionally Stable Schemes for Higher Order Inpainting, September 2009
(09-77)
Tom Goldstein, Xavier Bresson and Stanley Osher, Global Minimization of Markov Random Fields with Applications to Optical Flow, September 2009
(09-76)
Chunlin Wu and Xue-Cheng Tai, Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models, September 2009
(09-75)
Egil Bae, Jing Yuan and Xue-Cheng Tai, Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach, September 2009
(09-74)
Ryo Takei, Richard Tsai, Haochong Shen and Yanina Landa, A Practical Path-planning Algorithm for a Vehicle with a Constrained Turning Radius: a Hamilton-Jacobi Approach, September 2009
(09-73)
Yanina Landa, Haochong Shen, Ryo Takei and Yen-Hsi R. Tsai, Autonomous Source Discovery and Navigation in Complicated Environments, September 2009
(09-72)
Jian-Feng Cai, Zuowei Shen and Gui-Bo Ye, Approximation of Frame Based Missing Data Recovery, September 2009
(09-71)
Shingyu Leung and Hongkai Zhao, Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method, September 2009
(09-70)
Jingyue Wang and Bradley J. Lucier, Error Bounds for Finite-Difference Methods for Rudin-Osher-Fatemi Image Smoothing, September 2009
(09-69)
Yu Mao, Bin Dong and Stanley Osher, A Nonlinear PDE-based Method for Sparse Deconvolution, August 2009
(09-68)
Arthur Szlam and Xavier Bresson, A Total Variation-based Graph Clustering Algorithm for Cheeger Ratio Cuts, August 2009
(09-67)
Ernie Esser, Xiaoqun Zhang and Tony Chan, A General Framework for a Class of First Order Primal-Dual Algorithms for TV Minimization, August 2009
(09-66)
Ethan S. Brown, Tony F. Chan, and Xavier Bresson, Convex Formulation and Exact Global Solutions for Multi-phase Piecewise Constant Mumford-Shah Image Segmentation, July 2009
(09-65)
Mark Tygert, A Fast Algorithm for Computing Minimal-Norm Solutions to Underdetermined Systems of Linear Equations, July 2009
(09-64)
Xiaoqun Zhang and Tony F. Chan, Wavelet Inpainting by Nonlocal Total Variation, July 2009
(09-63)
Yujie Lu, Xiaoqun Zhang, Ali Douraghy, David Stout, Jie Tian, Tony F. Chan and Arion F. Chatziioannou, Source Reconstruction for Spectrally-resolved Bioluminescence Tomography with Sparse A priori Information, July 2009
(09-62)
Toni Buades, Yifei Lou, J.M. Morel and Zhongwei Tang, A Note on Multi-Image Denoising, July 2009
(09-61)
Jian-Feng Cai, Hui Ji, Chaoqiang Liu and Zuowei Shen, Blind Motion Deblurring from a Single Image Using a Sparse Approximation, July 2009
(09-60)
Jian-Feng Cai, Hui Ji, Chaoqiang Liu and Zuowei Shen, High-Quality Curvelet-Based Motion Deblurring from an Image Pair, July 2009
(09-59)
Jian-Feng Cai, Hui Ji, Chaoqiang Liu and Zuowei Shen, Blind Motion Deblurring Using Multiple Images, June 2009
(09-58)
Igor Yanovsky, Alex Leow, Suh Lee, Stanley Osher, Paul Thompson, Comparing Registration Methods for Mapping Brain Change using Tensor-Based Morphometry, June 2009
(09-57)
Stanley Osher and Joseph Teran, Crashing Waves, Awesome Explosions, Turbulent Smoke and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry, June 2009
(09-56)
G. Sundaramoorthi, S. Soatto and A.J. Yezzi, Curious Active Contours, June 2009
(09-55)
Hailiang Liu and James Ralston, Recovery of High Frequency Wave Fields for the Acoustic Wave Equation, June 2009
(09-54)
Xue-Cheng Tai and Yuping Duan, Domain Decomposition Methods with Graph Cuts Algorithms for Image Segmentation, June 2009
(09-53)
Egil Bae and Xue-Cheng Tai, Efficient Global Optimization for the Multiphase Chan-Vese Model of Image Segmentation by Graph Cuts, June 2009
(09-52)
Chunlin Wu and Xuecheng Tai, A Level Set Formulation of Geodesic Curvature Flow on Simplicial Surfaces, June 2009
(09-51)
Tungyou Lin, Carole Le Guyader, Ivo Dinov, Erh-Fang Lee, Paul Thompson, Arthur Toga and Luminita Vese, A Landmark-Based Image Registration Model Using a Nonlinear Elasticity Smoother for Mapping Mouse Atlas to Gene Expression Data, June 2009
(09-50)
Bin Dong, Aichi Chien, Zuowei Shen and Stanley Osher, A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery, June 2009
(09-49)
Andrea L. Bertozzi and Thomas Laurent, The Behavior of Soutions of Multidimensional Aggregation Equations with Mildly Singular interaction Kernels, May 2009
(09-48)
Mark Tygert, A Fast Algorithm for Computing Minimal-Norm Solutions to Underdetermined Systems of Linear Equations, May 2009
(09-47)
Christoph Brune, Alex Sawatzky and Martin Burger, Primal and Dual Bregman Methods with Application to Optical Nanoscopy, May 2009
(09-46)
Minh Ha-Quang, Sung-Ha Kang, and Triet M. Le, Image and Video Colorization Using Vector-Valued Reproducing Kernel Hilbert Spaces, May 2009
(09-45)
Hailiang Liu and Jaemin Shin, Global Well-Posedness for the Microscopic Fene Model with a Sharp Boundary Condition, May 2009
(09-44)
Hailiang Liu and Jue Yan, The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections, May 2009
(09-43)
Ganesh Sundaramoorthi, Peter Petersen and Stefano Soatto, On the Set of Images Modulo Viewpoint and Contrast Changes, May 2009
(09-42)
Wotao Yin, Analysis and Generalizations of the Linearized Bregman Method, May 2009
(09-41)
Hailiang Liu and James Ralston, Recovery of High Frequency Wave Fields from Phase Space Based Measurements, May 2009
(09-40)
M. Benning and M. Burger, Error Estimates for Variational Models with Non-Gaussian Noise, April 2009
(09-39)
Matt Elsey, Selim Esedoglu and Peter Smereka, Diffusion Generated Motion for Grain Growth in Two and Three Dimensions, April 2009
(09-38)
Bin Dong, Applications of Variational Models and Partial Differential Equations in Medical Image and Surface Processing, (Ph.D. Thesis), April 2009
(09-37)
J.A. Dobrosotskaya and A.L. Bertozzi, Wavelet Analogue of the Ginzburg-Landau Energy and its $\Gamma$-Convergence, April 2009
(09-36)
Nicolay M. Tanushev, Bjorn Engquist and Richard Tsai, Gaussian Beam Decomposition of High Frequency Wave Fields, April 2009
(09-35)
Arthur Szlam and Guillermo Sapiro, Discriminative k-Metrics, April 2009
(09-34)
Carola-Bibiane Schonlieb, Andrea Bertozzi, Martin Burger and Lin He, Image Inpainting Using a Fourth-Order Total Variation Flow, April 2009
(09-33)
J.A. Carrillo, M. Difrancesco, A. Figalli, T. Laurent and D. Slepcev, Global-In-Time Weak Measure Solutions, Finite-Time Aggregation and Confinement for Nonlocal Interaction Equations, April 2009
(09-32)
Nawal Houhou, Xavier Bresson, Arthur Szlam, Tony F. Chan and Jean-Pilippe Thiran, Semi-Supervised Segmentation Based on Non-Local Continuous Min-Cut, April 2009
(09-31)
Ernie Esser, Applications of Lagrangian-Based Alternating Direction Methods and Connections to Split Bregman, April 2009
(09-30)
Zhaohui Guo, Todd Wittman and Stanley Osher, L1 Unmixing and Its Application to Hyperspectral Image Enhancement, March 2009
(09-29)
Selim Esedoglu, Steven Ruuth, and Richard Tsai, Diffusion Generated Motion Using Signed Distance Functions, March 2009
(09-28)
Jian-Feng Cai, Stanley Osher and Zuowei Shen, Split Bregman Methods and Frame Based Image Restoration, March 2009
(09-27)
Yu Mao, Benjamin Fahimian, Stanley Osher and Jianwei Miao, Development and Optimization of Regularized Tomographic Reconstruction Algorithms Utilizing Equally-Sloped Tomography, March 2009
(09-26)
Junfeng Yang, Yin Zhang and Wotao Yin, An Efficient TVL1 Algorithm for Deblurring Multichannel Images Corrupted by Impulsive Noise, March 2009
(09-25)
Zaiwen Wen, Wotao Yin, Donald Goldfarb and Yin Zhang, A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization and Continuation, March 2009
(09-24)
Junfeng Yang, Yin Zhang and Wotao Yin, A Fast TVL1-L2 Minimization Algorithm for Signal Reconstruction from Partial Fourier Data, March 2009
(09-23)
Shiqian Ma, Wotao Yin, Yin Zhang and Amit Chakraborty, An Efficient Algorithm for Compressed MR IMaging using Total Variation and Wavelets, March 2009
(09-22)
Andrea L. Bertozzi and Dejan Slepcev, Existence and Uniqueness of Solutions to an Aggregation Equation with Degenerate Diffusion, March 2009
(09-21)
Michael Moeller, Todd Wittman, and Andrea Bertozzi, A Variational Approach to Hyperspectral Image Fusion, March 2009
(09-20)
George O. Mohler, Andrea L. Bertozzi, Thomas A. Goldstein, and Stanley J. Osher, Fast TV Regularization for 2D Maximum Penalized Likelihood Estimation, March 2009
(09-19)
Lok Ming Lui, Tsz Wai Wong, Xianfeng Gu, Tony Chan and Shing-Tung Yau, Representation and Property Adjustments of Surface Diffeomorphisms using Beltrami Holomorphic Flow, March 2009
(09-18)
Wangyi Liu, Martin B. Short and Andrea L. Bertozzi, Collaborative Searching Through Swarming, March 2009
(09-17)
Yingying Li and Stanley Osher, Coordinate Descent Optimization for $\ell^1$ Minimization with Application to Compressed Sensing; a Greedy Algorithm, March 2009
(09-16)
Marc Droske and Andrea Bertozzi, Higher-Order Feature-Preserving Geometric Regularization, February 2009
(09-15)
Yifei Lou, Andrea Bertozzi and Stefano Soatto, Direct Sparse Deblurring, (Same as Technical Report UCLA CSD080020, July 4, 2008, http://fmdb.cs.ucla.edu/Treports/080020.pdf), February 2009
(09-14)
Shoudong Han, Wenbing Tao, Desheng Wang, Xue-cheng Tai and Xianglin Wu, Image Segmentation Based on GrabCut Framework Integrating Multi-scale Nonlinear Structure Tensor, February 2009
(09-13)
Wenbing Tao and Xue-cheng Tai, Multiple Piecewise Constant Active Contours for Image Segmentation Using Graph Cuts Optimization, February 2009
(09-12)
Xue-Cheng Tai, Sofia Borok and Jooyoung Hahn, Image Denoising Using TV-Stokes Equation with an Orientation-Matching Minimization, February 2009
(09-11)
Hailiang Liu and Jue Yan, The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems, February 2009
(09-10)
Li (Luke) Tian, Colin B. Macdonald and Steven J. Ruuth, Segmentation on Surfaces with the Closest Point Method, February 2009
(09-08)
J.M. Sanz-Serna, G. Ariel, and R. Tsai, Multiscale Methods for Stiff Constrained Mechanical Systems, February 2009
(09-07)
Miyoun Jung, Ginmo Chung, Ganesh Sundaramoorthi, Luminita A. Vese, and Alan L. Yuille, Sobolev gradients and joint variational image segmentation, denoising and deblurring, February 2009
(09-06)
Tom Goldstein, Xavier Bresson and Stanley Osher, Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction, February 2009 (Revised July 2009)
(09-05)
Xue-Cheng Tai and Chunlin Wu, Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model, January 2009
(09-04)
Jean-Francois Aujol, Said Ladjal and Simon Masnou, Exemplar-Based Inpainting from a Variational Point of View, January 2009
(09-03)
Xiaoqun Zhang, Martin Burger, Xavier Bresson and Stanley Osher, Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction, January 2009
(09-02)
Alex Chen, Todd Wittman, Alexander Tartakovsky and Andrea Bertozzi, Image Segmentation Through Efficient Boundary Sampling, January 2009
(09-01)
Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward and Andrea L. Bertozzi, Self-Similarity in Particle Laden Flows at Constant Volume, January 2009
(08-81)
Michael Moeller, Todd Wittman and Andrea L. Bertozzi, Variational Wavelet Pan-Sharpening, December 2008
(08-80)
Nicolette Meshkat, Marisa Eisenberg and Joseph J. DiStefano, III, November 2008
(08-79)
Lok Ming Lui, Tsz Wai Wong, Wei Zeng, Xianfeng Gu, Paul M. Thompson, Tony F. Chan and Shing-Tung Yau, Detecting Local Shape Abnormalities using Yamabe Flow and Beltrami Coefficients, November 2008
(08-78)
Shiqian Ma, Donald Goldfarb and Lifeng Chen, Fixed Point and Bregman Iterative Methods for Matrix Rank Minimization, November 2008
(08-77)
Jian-Feng Cai, Emmanuel J. Candes and Zuowei Shen, A Singular Value Thresholding Algorithm for Matrix Completion, November 2008
(08-76)
Emmanuel J. Candes and Benjamin Recht, Exact Matrix Completion via Convex Optimization, November 2008
(08-75)
Vincent Israel-Jost, Jerome Darbon, Elsa Angelini and Isabelle Bloch, November 2008
(08-74)
Adam Oberman, Ryo Takei and Alexander Vladimirsky, Homogenization of Metric Hamilton-Jacobi Equations, November 2008
(08-73)
Yingying Li and Stanley Osher, A New Median Formula with Applications to PDE Based Denoising, October 2008 (Revised July 2009)
(08-72)
Shingyu Leung and Hongkai Zhao, A Grid Based Particle Method for Evolution of Open Curves and Surfaces, October 2008
(08-71)
Natalie Grunewald and Inwon Kim, A Gradient Flow Approach to a Free Boundary Droplet Model, October 2008
(08-70)
Wen Yang, Andrea L. Bertozzi and Xiaofan Wang, Stability of a Second Order Consensus Algorithm with Time Delay, October 2008
(08-69)
Arthur Szlam and Guillermo Sapiro, Supervised Learning via Discriminative $k$ $q$-Falts, October 2008
(08-68)
Yunho Kim, Paul M. Thompson and Luminita A. Vese, HARDI data denoising using vectorial total variation and logarithmic barrier, October 2008
(08-67)
X. Bresson and T.F. Chan, Non-local Unsupervised Variational Image Segmentation Models, October 2008
(08-66)
Loic Denis, Florence Tupin, Jerome Darbon and Marc Sigelle, Joint Regularization of Phase and Amplitude of InSAR Data: Application to 3D Reconstruction, September 2008
(08-65)
Bin Dong, Eric Savitsky and Stanley Osher, A Novel Method for Enhanced Needle Localization Using Ultrasound-Guidance, September 2008
(08-64)
Alexandre Borghi, Jerome Darbon, Sylvain Peyronnet, Tony F. Chan and Stanley Osher, A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures, September 2008 (Revised August 2009)
(08-63)
Bin Dong, Aichi Chien, Yu Mao, Jian Ye and Stanley Osher, Level Set Based Surface Capturing in 3D Medical Images, September 2008
(08-62)
Shantanu H. Joshi, Antonio Marquina, Stanley Osher, Ivo Dinov, John Darrell Van Horn and Arthur Toga, Image Resolution Enhancement and Its Applications to Medical Image Processing, September 2008
(08-61)
Jerome Darbon, Global Optimization for First Order Markov Random Fields with Submodular Priors, September 2008 (Revised April 2009)
(08-60)
Vladimir Rokhlin, Arthur Szlam, and Mark Tygert, A Randomized Algorithm for Principal Component Analysis, September 2008
(08-59)
Shingyu Leung and Jianliang Qian, Eulerian Gaussian Beams for Schrodinger Equations in the Semi-Classical Regime, August 2008
(08-58)
Shi Jin, Hao Wu and Xu Yang, Gausian Beam Methods for the Schrodinger Equation in the Semi-Classical Regime: Lagrangian and Eulerian Formulations, August 2008
(08-57)
Jian-Feng Cai, Stanley Osher and Zuowei Shen, Linearized Bregman Iterations for Frame-Based Image Deblurring, August 2008
(08-56)
Arthur Szlam, Non-Local Means for Audio Denoising, August 2008
(08-55)
Mark Roden, An Anisotropic Noise Reduction Technique Using Semi-Local Edge Detection, and a Target Application, August 2008
(08-53)
Andrea L. Bertozzi, Jose A. Carrillo, and Thomas Laurent, Blowup in Multidimensional Aggregation Equations with Mildly Singular Interaction Kernels, July 2008
(08-52)
Jian-Feng Cai, Stanley Osher and Zuowei Shen, Convergence of the Linearized Bregman Iteration for $\ell_1$-Norm Minimization, July 2008
(08-51)
Tin Man Lee, Mathematical Models and Techniques for Medical Imaging, (Ph.D. thesis), July 2008
(08-50)
Junfeng Yang, Wotao Yin, Yin Zhang and Yilun Wang, A Fast Algorithm for Edge-Preserving Variational Multichannel Image Restoration, July 2008
(08-49)
Chris Anderson, Efficient Solution of the Schroedinger-Poisson Equations in Layered Semiconductor Devices, July 2008
(08-48)
Weihong Guo and Feng Huang, A Local Mutual Information Guided Denoising and Its Application to Self-calibrated Partially Parallel Imaging, July 2008
(08-47)
Kangyu Ni, Xavier Bresson, Tony Chan and Selim Esedoglu, Local Histogram Based Segmentation Using the Wasserstein Distance, July 2008
(08-46)
Jianing Shi, Wotao Yin, Stanley Osher and Paul Sajda, A Fast Algorithm for Large Scale $\ell_1$-Regularized Logistic Regression, July 2008
(08-45)
Lok Ming Lui, Computational Conformal Geometry and Its Applications to Human Brain Mapping (Ph.D. thesis), July 2008
(08-44)
Mingqiang Zhu, Fast Numerical Algorithms for Total Variation Based Image Restoration (Ph.D. thesis), July 2008
(08-43)
Yanina Landa, Nicolay M. Tanushev, Richard Tsai and Martin Burger, Discovering Point Sources in Unknown Environments, July 2008
(08-41)
M.Burger, L.He and C.Schoenlieb, CAHN-HILLIARD INPAINTING AND A GENERALIZATION FOR GRAYVALUE IMAGES, June 2008
(08-40)
Vincent Duval, Jean-Fancois Aujol and Luminita Vese, A Projected Gradient Algorithm for Color Image Decomposition, July 2008
(08-39)
Kang-Yu Ni, Variational PDE-Based Image Segmentation and Inpainting with Applications in Computer Graphics, (Ph.D. thesis), June 2008
(08-37)
Stanley Osher, Yu Mao, Bin Dong and Wotao Yin, Fast Linearized Bregman Iteration for Compressive Sensing and Sparse Denoising, June 2008
(08-36)
Egil Bae and Xue-Cheng Tai, Graph Cuts for the Multiphase Mumford-Shah Model Using Piecewise Constant Level Set Methods, June 2008
(08-35)
Yifei Lou, Xiaoqun Zhang, Stanley Osher and Andrea Bertozzi, Image Recovery via Nonlocal Operators, May 2008 (NOTE: Revised September 2009)
(08-34)
Mingqiang Zhu and Tony Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Variation Image Restoration, May 2008
(08-33)
Mingqiang Zhu, Stephen J. Wright and Tony F. Chan, Duality-Based Algorithms for Total Variation Image Restoration, May 2008
(08-32)
Yilun Wang, Junfeng Yang, Wotao Yin and Yin Zhang, A New Alternating Minimization Algorithm for Total Variation Image Reconstruction, May 2008
(08-31)
Nebojsa Murisic, Instabilities of Volatile Films and Drops, (Ph.D. Thesis), May 2008
(08-30)
Igor Yanovsky, Unbiased Nonlinear Image Registration, (Ph.D. Thesis), May 2008
(08-29)
Tom Goldstein and Stanley Osher, The Split Bregman Algorithm for L1 Regularized Problems, April 2008
(08-28)
Yanina Landa and Richard Tsai, Visibility of Point Clouds and Exploratory Path Planning in Unknown Environments, April 2008
(08-27)
Igor Yanovsky, Carole Le Guyader, Alex Leow, Paul Thompson and Luminita Vese, Unbiased Volumetric Registration via Nonlinear Elastic Regularization, April 2008
(08-26)
Yifei Lou, Paolo Favaro, Stefano Soatto and Andrea Bertozzi, Nonlocal Similarity Image Filtering, April 2008 (Revised July 2009)
(08-25)
Shibin Dai, On the Shortening Rate of Collections of Plane Convex Curves by the Area-Preserving Mean Curvature Flow, April 2008
(08-24)
Shivkumar Chandrasekaran, Ming Gu, Xiaoye S. Li and Jianlin Xia, Some Fast Algorithms for Hierarchically Semiseparable Matrices, April 2008
(08-23)
Alan J. Laub and Jianlin Xia, Fast Condition Estimation for a Class of Structured Eigenvalue Problems, April 2008
(08-22)
Arthur Szlam, Modifications of $k$ $q$-Flats for Supervised Learning, April 2008
(08-21)
Andrea L. Bertozzi and Jeremy Brandman, Finite-Time Blow-up of $L^\infty$-weak Solutions of an Aggregation Equation, April 2008
(08-20)
Yanina Landa, Visibility of Point Clouds and Exploratory Path Planning in Unknown Environments, (Ph.D. Thesis), April 2008
(08-19)
Antonin Chambolle and Jerome Darbon, On Total Variation Minimization and Surface Evolution using Parametric Maximum Flows, April 2008 (Revised April 2009)
(08-18)
Andrea L. Bertozzi, Ning Ju and Hsiang-Wei Lu, A Biharmonic-Modified Forward Time Stepping Method for Fourth Order Nonlinear Diffusion Equations, April 2008
(08-17)
Chiu-Yen Kao, Stanley Osher and Jianliang Qian, Legendre-Transform-Based Fast Sweeping Methods for Static Hamilton-Jacobi Equations on Triangulated Meshes, April 2008
(08-16)
Carole Le Guyader and Luminita Vese, A Combined Segmentation and Registration Framework with a nonlinear Elasticity Smoother, March 2008
(08-15)
Yunho Kim and Luminita Vese, Image Recovery Using Functions of Bounded Variation and Sobolev Spaces of Negative Differentiability, March 2008
(08-14)
Lok Ming Lui, Sheshadri Thiruvenkadam, Yalin Wang, Paul Thompson and Tony Chan, Optimized Conformal Parameterizations of Cortical Surfaces Using Shape Based Landmark Matching, March 2008
(08-13)
Selim Esedoglu and Dejan Slepcev, Refined Upper Bounds on the Coarsening Rate of Discrete, Ill-Posed Diffusion Equations, March 2008
(08-12)
Thomas J. Asaki, Pavlo Cherepanov, Matthew Sottile and Kevin R. Vixie, Image Denoising By Regularization on Characteristic Graphs, March 2008
(08-11)
Benjamin Cook, Oleg Alexandrov and Andrea Bertozzi, Linear Stability of Particle-Laden Thin Films, March 2008
(08-10)
M.B. Short, M.R. D'Orsogna, V.B. Pasour, G.E. Tita, P.J. Brantingham, A.L. Bertozzi and L.B. Chayes, A Statistical Model of Criminal Behavior, March 2008
(08-09)
Nicolas Forcadel, Carole Le Guyader, and Christian Gout, Generalized Fast Marching Method: Applications to Image Segmentation, March 2008
(08-08)
Shingyu Leung and Hongkai Zhao, A Grid Based Particle Method for Moving Interface Problems, February 2008
(08-07)
Qiya Hu, Xue-Cheng Tai and Ragnar Winther, A Saddle Point Approach to the Computation of Harmonic Maps, February 2008
(08-06)
Jian-Feng Cai, Stanley Osher and Zuowei Shen, Linearized Bregman Iterations for Compressed Sensing, February 2008
(08-05)
Eitan Tadmor, Suzanne Nezzar, and Luminita Vese, Multiscale Hierarchical Decomposition of Images with Applications to Deblurring, Denoising and Segmentation, February 2008
(08-04)
Hsiang-Wei Lu, Fluid Dynamics of an Electrowetting Drop: Theories, simulations, and Experiments, Ph.D. Thesis, January 2008
(08-03)
Yalin Wang, Ilhwan Jo, Stephen Wong, Shing-Tung Yau and Tony F. Chan, Segmentation and Tracking of 3D Neuron Microscopy Images Using a PDE Based Method and Connected Component Labeling Algorithm January 2008
(08-02)
Berta Sandberg, Sung Ha Kang, and Tony F. Chan, Unsupervised Multi-Phase Segmentation: A Phase Balancing Model, January 2008 (revised March 2009)
(08-01)
Jerome Darbon, Alexandre Cunha, Tony F. Chan, Stanley Osher and Grant J. Jensen, Fast Nonlocal Filtering Applied to Electron Cryomicroscopy, January 2008
(07-54)
Sheshadri R. Thiruvenkadam, Tony F. Chan and Byung-Woo Hong, Variational Approach to Natural Image Matting, December 2007
(07-53)
Hsiang-Wei Lu, Frederic Bottausci, Jesse Fowler, Andrea L. Bertozzi, Carl Meinhart, and Chang-Jin "CJ" Kim, A Study of EWOD-Driven Droplets by PIV Investigation, to appear in Lab on a Chip, December 2007
(07-52)
Lin He, Stefan Kindermann and Mourad Sini, Reconstruction of Shapes and Impedance Functions Using Few Farfield Measurements, November 2007
(07-51)
Michael K. Ng, Guoping Qiu and Andy M. Yip, A Study of Interactive Multiple Class Image Segmentation Problems, November 2007
(07-50)
D. Krishnan, Quang Vinh Pham and Andy M. Yip, A Primal-Dual Active-Set Algorithm for Bilaterally Constrained Total Variation Deblurring and Piecewise Constant Mumford-Shah Segmentation Problems, November 2007
(07-49)
Igor Yanovsky, Paul Thompson, Stanley Osher and Alex Leow, Asymmetric and Symmetric Unbiased Image Registration: Statistical Assessment of Performance, November 2007
(07-48)
Erlend Hodneland, Xue-Cheng Tai and Hans-Herman Gerdes, Four-Color Theorem and Level Set Methods for Watershed Segmentation, November 2007
(07-47)
Gil Ariel, Bjorn Engquist, and Richard Tsai. A Multiscale Method for Weakly Coupled Oscillators, November 2007
(07-46)
Jim Bremer, Yoel Shkolnisky and Arthur Szlam, Image Denoising Using Diffusion on Curvelet-Scaled Gabor Filter Responses, November 2007
(07-45)
Jerome Darbon, Global Optimization for First Order Markov Random Fields with Submodular Priors, October 2007
(07-44)
Bin Dong, Jian Ye, Stanley Osher and Ivo Dinov, Level Set Based Nonlocal Surface Restoration, October 2007
(07-43)
Yan Nei Law, Hwee Kuan Lee and Andy M. Yip, A Multi-resolution Stochastic Level Set Method for Mumford-Shah Image Segmentation, October 2007
(07-42)
Benjamin Patrick Cook, Lubrication Models for Particle-Laden Thin Films, (Ph.D. Thesis), October 2007
(07-41)
Benjamin P. Cook, A Theory for Particle Settling and Shear-Induced Migration in Thin Film Flow, October 2007
(07-40)
Zhipu Jin and Andrea L. Bertozzi, Environmental Boundary Tracking and Estimation Using Multiple Autonomous Vehicles, October 2007
(07-39)
Nicolay M. Tanushev, Gaussian Beams for the Wave Equation, September 2007
(07-38)
Loic Denis, Florence Tupin, Jerome Darbon and Marc Sigelle, SAR Image Regularization with Fast Approximate Discrete Minimization, September 2007 (Revised April 2009)
(07-37)
Wotao Yin, Stanley Osher, Jerome Darbon and Donald Goldfarb, Bregman Iterative Algorithms for Compessed Sensing and Related Problems, September 2007
(07-36)
Bin Dong, Yu Mao, Ivo D. Dinov, Zhuowen Tu, Yonggang Shi, Yalin Wang and Arthur W. Toga, Wavelet-Based Representation of Biological Shapes, September 2007
(07-35)
M. Bachmayr and M. Burger, Iterative Total Variation Schemes for Nonlinear Inverse Problems September 2007
(07-34)
Yunmei Chen and Weihong Guo, A Local Nonparametric Model for Simultaneous Image Segementation and Adaptive Smooth, September 2007
(07-33)
Kangyu Ni, Sheshadri Thiruvenkadam and Tony Chan, Matting Through Variational Inpainting, September 2007
(07-32)
Julia A. Dobrosotskaya and Andrea L. Bertozzi, A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting, September 2007
(07-31)
Matthew Elsey and Selim Esedoglu, Analogue of the Total Variation Denoising Model in the Context of Geometry Processing, August 2007
(07-30)
Sheshadri R. Thiruvenkadam, Tony F. Chan and Byung-Woo Hong, Segmentation Under Occlusions Using Selective Shape Prior, August 2007
(07-29)
A. Buades, A. Chien, J.M. Morel and S. Osher, Topology Preserving Linear Filtering Applied to Medical Imaging, August 2007
(07-27)
Arthur Szlam, Asymptotic Regularity of Subdivisions of Euclidean Domains by Iterated PCA and Iterated 2-Means, August 2007
(07-26)
Alex D. Leow and Siwei Zhu, Tensor Distribution Function (revised Nov. 2007), August 2007
(07-25)
X. Bresson and T.F. Chan, Fast Minimization of the Vectorial Total Variation Norm and Applications to Color Image Processing, August 2007
(07-24)
Jeremy Brandman, A Level-Set Method for Computing the Eigenvalues of Elliptic Operators Defined on Compact Hypersurfaces, July 2007 ( NOTE: Revised May 2008 with new title)
(07-23)
Guy Gilboa and Stanley Osher, Nonlocal Operators with Applications to Image Processing, July 2007
(07-21)
John B. Garnett, Peter W. Jones, Triet M. Le and Luminita A. Vese, Modeling Oscillatory Components with the Homogeneous Spaces $BMO^{-\alpha$ and $W^{-\alpha,p}$, July 2007
(07-20)
Carole Le Guyader and Luminita Vese, Self-Repelling Snakes for Topology-Preserving Segmentation, July 2007
(07-19)
Selim Esedoglu and Peter Smereka, A Variational Formulation for a Level Set Representation of Multiphase Flow and Area Preserving Curvature Flow, July 2007
(07-18)
Antonio Marquina and Stanley Osher, Image Super-Resolution by TV-Regularization, July 2007
(07-17)
Gil Ariel, Bjorn Engquist, and Richard Tsai, A Multiscale Method for Stiff Ordinary Differential Equations with Resonance, June 2007
(07-16)
Li-Tien Cheng and Yen-Hsi Tsai, Redistancing by Flow of Time Dependent Eikonal Equation, June 2007
(07-15)
Chiaming Wang, Tungyou Lin and Russel Caflisch, Particle Simulation of Coulomb Collisions: Comparing the Methods of Takizuka \& Abe and Nanbu, May 2007
(07-14)
Russel E. Caflisch and Dionisios Margetis, Anisotropic Step Stiffness From a Kinetic Model of Epitaxial Growth, May 2007
(07-13)
Youri Bae and Russel E. Caflisch, Strain in Layered Nanocrystals, May 2007
(07-12)
Oddvar Christiansen, Tin Man Lee, Johan Lie, Usha Sinha, and Tony Chan, Total Variation Regularization of Matrix Valued Images, May 2007
(07-11)
Peter W. Jones and Triet M. Le, Local Scales and Multiscale Image Decompositions, May 2007
(07-10)
Jianing Shi and Stanley Osher, A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model, April 2007 (NOTE: Revised version -- May 2008)
(07-09)
Jianhong (Jackie) Shen and Sung Ha Kang, Quantum TV and Applications in Image Processing, April 2007
(07-08)
James H. von Brecht, Sheshadri R. Thiruvenkadam and Tony Chan, Occlusion Tracking with Logic Models, April 2007
(07-07)
Thomas C. Cecil, Stanley J. Osher and Jianliang Qian, Essentially Non-Oscillatory Adaptive Tree Methods, March 2007
(07-06)
Martin Burger, Christina Stocker and Axel Voigt, Finite Element Based Level Set Methods for Higher Order Flows, March 2007
(07-05)
Igor Yanovsky, Paul Thompson, Stanley Osher, Luminita Vese, and Alex Leow, Multiphase Segmentation of Deformation using Logarithmic Priors, March 2007
(07-04)
Nicolay M. Tanushev and Luminita A. Vese, A Piecewise-Constant Binary Model for Electrical Impendance Tomography, March 2007
(07-03)
D. Krishnan, P. Lin and Andy M. Yip, A Primal-Dual and Active-Set Method for Non-Negativity Constrained Total Variation Deblurring Problems, February 2007
(07-02)
Eric Chung, Jianliang Qian, Gunther Uhlmann and Hong-Kai Zhao, A New Phase Space Method for Recovering Index of Refraction from Travel Times, February 2007
(07-01)
Martin Burger, Elena Resmerita and Lin He, Error Estimation for Bregman Iterations and Inverse Scale Space Methods in Image Restoration, February 2007
(06-72)
Benjamin P. Cook, Andrea L. Bertozzi and A. E. Hosoi, Shock Solutions for Particle-Laden Thin Films, December 2006
(06-71)
Igor Yanovsky, Paul Thompson, Stanley Osher and Alex Leow, Large Deformation Unbiased Diffeomorphic Nonlinear Image Registration: Theory and Implementation, December 2006
(06-70)
Yao-li Chuang, Stability and Scalability of 2D Swarming Patterns, (Ph.D. Thesis), December 2006
(06-69)
Xinwei Zhang, Jiun-Shyan Chen and Stanley Osher, A Multiple Level Set Method for Modeling Grain Boundary Evolution of Polycrystalline Materials, December 2006
(06-68)
Simon P. Morgan and Kevin R. Vixie, $L^1TV$ Computes the Flat Norm for Boundaries, December 2006
(06-67)
Erlend Hodneland, Xue-Cheng Tai, Joachim Weickert, Nickolay V. Bukoreshtliev, Arvid Lundervold and Hans-Hermann Gerdes, Level Set Methods for Watershed Image Segmentation, December 2006
(06-66)
Yuan Rick Huang, An Embedded Autonomous Multi-Vehicle Testbed for Development of Cooperative Control Algorithms (Masters Thesis), December 2006
(06-65)
Alan Gillette, Image Inpainting Using a Modified Cahn-Hilliard Equation, (Ph.D. Thesis), December 2006
(06-64)
Igor Yanovsky and Alex D. Leow, An Information Theory Approach to Nonlinear Image Registration, November 2006
(06-63)
Kirsten Morris and Carmeliza Navasca, Iterative Solution of Algebraic Riccati Equations for Damped Systems, November 2006
(06-62)
Carmeliza Navasca, Ani Asatryan, Vatche Attarian, Yuan R. Huang, Keven K. Leung, Abhijeet Joshi, Vlad Voroninski, Meghdi Aboulian, Krystle McBride, Implementations of Control Laws for Motion Camouflage in a Pursuit-Evasion System, November 2006
(06-61)
Talal Rahman, Xue-Cheng Tai and Stanley Osher, A TV-Stokes Denoising Algorithm, November 2006
(06-60)
Jerome Darbon, A Note on the Discrete Binary Mumford-Shah Model, November 2006
(06-59)
Ingrid Daubechies, Gerd Teschke, and Luminita Vese, Iteratively Solving Linear Inverse Problems under General Convex Constraints, October 2006
(06-58)
Tony Chan, Selim Esedoglu and Kangyu Ni, Histogram Based Segmentation Using Wasserstein Distances, October 2006
(06-57)
Guy Gilboa, Jerome Darbon, Stanley Osher and Tony Chan, Nonlocal Convex Functionals for Image Regularization, October 2006
(06-56)
Lin He and Stanley Osher, Solving the Chan-Vese Model by a Multiphase Level Set Algorithm Based on the Topological Derivative, October 2006
(06-55)
Russel Caflisch, Unfolding Square Root Singularities in the 2D Boussinesq Equations, October 2006
(06-54)
Steven Ruuth and Barry Merriman, A Simple Embedding Method for Solving Partial Differential Equations on Surfaces October 2006
(06-53)
Paolo Favaro, Stefano Soatto, Martin Burger and Stanley Osher, Shape from Defocus via Diffusion October 2006
(06-52)
Tony Chan, Berta Sandberg and Mark Moelich, Some Recent Developments in Variational Image Segmentation, September 2006
(06-51)
Y. Landa, D. Galkowski, Y. R. Huang, A. Joshi, C. Lee, K. K. Leung, G. Malla, J. Treanor, V. Voroninski, A. L. Bertozzi, and R. Tsai, Robotic Path Planning and Visibility with Limited Sensor Data, (submitted to the 2007 American Control Conference), September 2006
(06-50)
Kevin K. Leung, Chung H. Hsieh, Yuan R. Huang, Abhijeet Joshi, Vlad Voroninski, and Andrea L. Bertozzi. A Second Generation Micro-Vehicle Testbed for Cooperative Control and Sensing Strategies, (submitted to the 2007 American Control Conference), September 2006
(06-49)
Selim Esedoglu and John Greer, Upper Bounds on the Coarsening Rate of Discrete, Ill-Posed Nonlinear Diffusion Equations, September 2006
(06-48)
Nicolay M. Tanushev, Jianliang Qian and James V. Ralston, Mountain Waves and Gaussian Beams, September 2006
(06-47)
Guy Gilboa and Stanley Osher, Nonlocal Linear Image Regularization and Supervised Segmentation, September 2006
(06-46)
Linh Lieu, Contribution to Problems in Image Restoration, Decomposition, and Segmentation by Variational Methods and Partial Differential Equations, (Ph.D. Thesis), June 2006
(06-45)
A. Rätz and A. Voigt, A Diffuse Interface Approximation for Surface Diffusion Including Adatoms, August 2006
(06-44)
Lin He, Chiu-Yen Kao and Stanley Osher, Incorporating Topological Derivatives into Shape Derivatives Based Level Set Methods, August 2006
(06-43)
Andrea L. Bertozzi and Thomas Laurent, Finite-time Blow-up of Solutions of an Aggregation Equation in R^n, August 2006
(06-42)
Benjamin Berkels, Martin Burger, Marc Droske, Oliver Nemitz, and Martin Rumpf, Cartoon Extraction Based on Anisotropic Image Classification, July 2006
(06-41)
Wotao Yin, Donald Goldfarb and Stanley Osher, A Comparison of Three Total Variation Based Texture Extraction Models, July 2006
(06-40)
Bo Su and Martin Burger, Weak Solutions of a Polymer Crystal Growth Model, July 2006
(06-39)
Frank Hausser, Michel E. Jabbour and Axel Voigt, A Step-Flow Model for the Hetero-Epitaxial Growth of Strained, Substitutional, Binary Alloy Films With Phase Segregation: I Theory, July 2006
(06-38)
Thomas Laurent, Local and Global Existence for an Aggregation Equation, July 2006
(06-37)
Jianliang Qian, Yong-Tao Zhang and Hong-Kai Zhao, A Fast Sweeping Method for Static Convex Hamilton-Jacobi Equations, June 2006
(06-36)
Antonio Marquina, Inverse Scale Space Methods for Blind Deconvolution, June 2006
(06-35)
Lin He, Ti-Chiun Chang, Stanley Osher, Tong Fang and Peter Speier, MR Image Reconstruction by Using the Iterative Refinement Method and Nonlinear Inverse Scale Space Methods, June 2006
(06-34)
Lin He, Applications and Generalizations of the Iterative Refinement Method (Ph.D. thesis), June 2006
(06-33)
Jinjun Xu, Iterative Regularization and Nonlinear Inverse Scale Space Methods in Image Restoration (Ph.D. thesis), June 2006
(06-32)
Barry Merriman And Steven J. Ruuth, Diffusion Generated Motion of Curves on Surfaces, June 2006
(06-31)
Yoon Mo Jung, Sung Ha Kang, and Jianhong Shen, Multiphase Image Segmentation via Modica-Mortola Phase Transition, June 2006
(06-30)
Y.L. Chuang, M. R. D'Orsogna, D. Marthaler, A. L. Bertozzi, and L. Chayes, State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System, June 2006
(06-29)
Kenton Sze, Multilevel Optimization for VLSI Circuit Placement, (Ph.D. Thesis), June 2006
(06-28)
Tony F. Chan and Ke Chen, An Optimization-based Multilevel Algorithm for Total Variation Image Denoising, May 2006.
(06-27)
Kensuke Yokoi, Numerical Method for Interaction Among Multi-Particle, Fluid and Arbitrary Shape Structure, May 2006
(06-26)
A. Haddad and S. Osher, Texture Separation $BV - G$ and $BV - L^1$ Models May 2006
(06-25)
A. L. Bertozzi, S. Esedoglu, and A. Gillette, Analysis of a Two-Scale Cahn-Hilliard Model for Image Inpainting, May 2006
(06-24)
M. Burger, K. Frick, S. Osher and O. Scherzer, Inverse Total Variation Flow, May 2006
(06-23)
Selim Esedoglu, Steven J. Ruuth and Richard Tsai, Threshold Dynamics for High Order Geometric Motions, May 2006
(06-22)
Chohong Min and Frederic Gibou, A Second Order Accurate Level Set Method on Non-Graded Adaptive Cartesian Grids, May 2006
(06-21)
Martin Burger and Marco Di Francesco, Large Time Behavior of Nonlocal Aggregation Models with Nonlinear Diffusion, May 2006
(06-20)
Kensuke Yokoi, A Variational Approach to Motion of Triple Junction of Gas, Liquid and Solid, April 2006
(06-19)
Oddvar Christiansen and Xue-Cheng Tai, Fast Implementation of Piecewise Constant Level Set Methods, April 2006
(06-18)
Xue-Cheng Tai and Chang-Hui Yao, Image Segmentation by Piecewise Constant Mumford-Shah Model without Estimating the Constants, April 2006
(06-17)
Hongwei Li and Xue-Cheng Tai, Piecewise Constant Level Set Methods for Multiphase Motion, April 2006
(06-16)
Yanina Landa, Richard Tsai and Li-Tien Cheng, Visibility of Point Clouds and Mapping of Unknown Environments, April 2006
(06-15)
Li-Tien Cheng, Efficient Level Set Methods for Constructing Wavefronts in Three Spatial Dimensions, April 2006
(06-14)
Han Chen, Chohong Min and Frederic Gibou, A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Grids, April 2006
(06-13)
Hongkai Zhao, Parallel Implementations of the Fast Sweeping Method, April 2006
(06-12)
Yonggang Shi, Paul Thompson, Ivo Dinov, Stanley Osher and Arthur W. Toga, Direct Cortical Mapping, March 2006
(06-11)
Jinjun Xu and Stanley Osher, Iterative Regularization and Nonlinear Inverse Scale Space Applied to Wavelet Based Denoising, March 2006
(06-10)
Y.-L. Chuang, Y. R. Huang, M. R. D'Orsogna, and A. L. Bertozzi, Multi-Vehicle Flocking: Scalability of Cooperative Control Algorithms Using Pairwise Potentials, March 2006
(06-09)
Jianhong (Jackie) Shen, Least-Square Halftoning via Human Vision System and Markov Gradient Descent (LS-MGD): Algorithm and Analysis, March 2006
(06-08)
Tony F. Chan, Michael K. Ng, Andy C. Yau and Andy M. Yip, Superresolution Image Reconstruction Using Fast Inpainting Algorithms, February 2006 (revised Sept. 2006)
(06-07)
A.L. Bertozzi, S. Esedoglu, and A. Gillette, Inpainting of Binary Images Using the Cahn-Hilliard Equation, February 2006
(06-06)
Shingyu Leung and Jianliang Qian, An Adjoint State Method for Three-Dimensional Transmission Traveltime Tomography using First-Arrivals, February 2006
(06-05)
Hongwei Li and Xue-Cheng Tai, Piecewise Constant Level Set Method for Interface Problems, February 2006
(06-04)
Chiu-Yen Kao and Richard Tsai, A Level Set Formulation for Visibility and Its Discretization, January 2006 (Revised March 2006)
(06-03)
Frederic Gibou, Liguo Chen, Duc Nguyen and Sanjoy Banerjee, A Level Set Based Sharp Interface Method for the Multiphase Incompressible Navier-Stokes Equations with Phase Change, January 2006
(06-02)
M. Burger, F. Hausser, C. Stoecker and A. Voigt, A Level Set Approach to Anisotropic Flows with Curvature Regularization, January 2006
(06-01)
Xue-Cheng Tai, Stanley Osher and Randi Holm, Image Inpainting Using a TV-Stokes Equation, January 2006
(05-68)
Tony F. Chan and Ke Chen, On a Nonlinear Multigrid Algorithm with Primal Relaxation for the Image Total Variation Minimisation, December 2005
(05-67)
Johan Lie and Jan M. Nordbotten, Inverse Scale Spaces for Nonlinear Regularization, December 2005
(05-66)
Martin Burger, Guy Gilboa, Stanley Osher and Jinjun Xu, Nonlinear Inverse Scale Space Methods, November 2005
(05-65)
Chohong Min and Frederic Gibou, A Second Order Accurate Projection Method for the Incompressible Navier-Stokes Equations on Fully Adaptive Grids, November 2005
(05-64)
Marc Droske and Martin Rumpf, Multi Scale Joint Segmentation and Registration of Image Morphology, November 2005
(05-63)
Marc Droske and Wolfgang Ring, A Mumford-Shah Level-Set Approach for Geometric Image Registration, November 2005
(05-62)
Andreas Ratz and Axel Voigt, PDE's on Surfaces -- A Diffuse Interface Approach, November 2005
(05-61)
Frank Hausser and Axel Voigt, A Discrete Scheme for Parametric Anisotropic Surface Diffusion, November 2005
(05-60)
D. Krishnan, P. Lin and X.C. Tai, An Efficient Operator-Splitting Method for Noise Removal in Images, November 2005
(05-59)
Xue-Cheng Tai and Hongwei Li, A Piecewise Constant Level Set Method for Elliptic Inverse Problems, November 2005
(05-58)
Mohammad Motamed and Olof Runborg, A Fast Phase Space Method for Computing Creeping Rays, October 2005
(05-57)
John B. Garnett, Triet M. Le, Yves Meyer and Luminita A. Vese, Image Decompositions Using Bounded Variation and Homogeneous Besov Spaces, October 2005
(05-56)
Wei Zhu, Variational Models for Illusory Contours and Shape Prior Segmentation, October 2005 (Ph.D. Thesis and defensed on May 2004)
(05-55)
Chung H. Hsieh, Yao-Li Chuang, Yuan Huang, Kevin K. Leung, Andrea L. Bertozzi, and Emilio Frazzoli, An economincal Micro-Car Testbed for Validation of Cooperative Control Strategies, September 2005
(05-54)
Jianhong (Jackie) Shen, A Stochastic-Variational Model for Soft Mumford-Shah Segmentation, September 2005
(05-53)
M.R. D'Orsogna, Y.L. Chuang, A.L. Bertozzi and L.S. Chayes, Self-propelled Particles wit hSoft-core Interactions: Patterns, Stability and Collapse, September 2005 (Revised: Feb. 2006)
(05-52)
Xue-Cheng Tai and Changhui Yao, Fast Piecewise Constant Level Set Methods (PCLSM) with Newton Updating, September 2005
(05-51)
Lars Kristian Nielsen, Xue-Cheng Tai, Sigurd Ivar Aanonsen and Magne Espedal, A Binary Level Set Model for Elliptic Inverse Problems with Discontinuous Coefficients, September 2005
(05-50)
Lars Kristian Nielsen, Xue-Cheng Tai, Sigurd Ivar Aanonsen and Magne Espedal, Reservoir Description using a Binary Level Set Model, September 2005
(05-49)
Triet M. Le, Thomas J. Asaki and Rick Chartrand, A Variational Approach to Reconstructing Images Corrupted by Poisson Noise September 2005
(05-48)
Guy Gilboa, Nir Sochen and Yehoshua Y. Zeevi, Estimation of Optimal PDE-based Denoising in the SNR Sense, August 2005
(05-47)
Wotao Yin, Donald Goldfarb and Stanley Osher, Image Cartoon-Texture Decomposition and Feature Selection Using the Total Variation Regularized $L^1$ Functional August 2005
(05-46)
Martin Burger, Finite Element Approximation of Elliptic Partial Differential Equations on Implicit Surfaces, August 2005
(05-45)
H.-W. Lu, K. Glasner, A. L. Bertozzi, and C.-J. Kim, A Diffuse Interface Model for Electrowetting Droplets in a Hele-Shaw Cell, July 2005
(05-44)
Edward Welsh, Bjorn Birnir, and Andrea L. Bertozzi, Shocks in the Evolution of an Eroding Channel, July 2005
(05-43)
Jianhong (Jackie) Shen, Piecewise $H^{-1 + H^0 + H^1$ Images and the Mumford-Shah-Sobolev Model for Segmented Image Decomposition}, July 2005
(05-42)
Stefan Kindermann and Stanley Osher Saddle Point Formulation for a Cartoon-Texture Decomposition, June 2005
(05-41)
John B. Greer, An Improvement of a Recent Eulerian Method for Solving PDEs on General Geometries, June 2005
(05-40)
Martin Burger and Michael Hintermüller, Projected Gradient Flows for BV / Level Set Relaxation, June 2005
(05-38)
Lin He, Martin Burger and Stanley Osher, Iterative Total Variation Regularization with Non-Quadratic Fidelity, June 2005
(05-37)
Hailiang Liu and Jue Yan, A Local Discontinuous Galerkin Method for the Korteweg-De Vries Equation with Boundary Effect, June 2005
(05-36)
Mathieu Kemp, Andrea L. Bertozzi, and Daniel Marthaler, Multi-UUV Perimeter Surveillance, May 2005
(05-35)
S. Osher, O. Scherzer and Wotao Yin, Slope and G-Value Characterization of Set-Valued Functions and Applications to Non-Differentiable Optimization Problems, May 2005
(05-34)
Martin Burger, Stanley Osher, Jinjun Xu and Guy Gilboa, Nonlinear Inverse Scale Space Methods for Image Restoration, May 2005
(05-33)
Linh Lieu and Luminita Vese, Image Restoration and Decompostion via Bounded Total Variation and Negative Hilbert-Sobolev Spaces, May 2005
(05-32)
Shingyu Leung and Stanley Osher, Global Minimization of the Active Contour Model with TV-Inpainting and Two-phase Denoising, May 2005
(05-31)
T.C. Cecil, Stanley Osher and J.-L. Qian, Simplex Free Adaptive Tree Fast Sweeping and Evolution Methods for Solving Level Set Equations in Arbitrary Dimension, May 2005
(05-30)
Kensuke Yokoi, Numerical Method for Interaction Between Multi-Particle and Complex Structures, May 2005
(05-29)
Chohong Min, Frederic Gibou and Hector Ceniceros, A Supra-Convergent Finite Difference Scheme for the Variable Coefficient Poisson Equation on Fully Adaptive Grids, May 2005 (revised Nov. 2005)
(05-28)
Tony F. Chan, Selim Esedoglu, and Frederick E. Park, A Fourth Order Dual Method for Staircase Reduction in Texture Extraction and Image Restoration Problems April 2005
(05-27)
Wotao Yin, Donald Goldfarb and Stanley Osher, The Total Variation Regularized $L^1$ Model for Multiscale Decomposition, April 2005 (New Version, June 2006)
(05-26)
Ke Chen and Xue-Cheng Tai, A Nonlinear Multigrid Method for Curvature Equations Related to Total Variation Minimization, April 2005
(05-25)
Marius Lysaker and Xue-Cheng Tai, Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional, April 2005
(05-24)
Xue-Cheng Tai, Oddvar Christiansen, Ping Lin and Inge Skjaelaaen, A Remark on the MBO Scheme and Some Piecewise Constant Level Set Methods, April 2005
(05-23)
T. Chan, J. Cong, and K. Sze, Multilevel Generalized Force-directed Method for Circuit Placement, Proceedings of the International Symposium on Physical Design, San Francisco, CA, April, 2005
(05-22)
Selim Esedoglu, Steven Ruuth and Richard Tsai, Threshold Dynamics for Shape Reconstruction and Disocclusion, April 2005
(05-21)
Stefan Kindermann, Stanley Osher and Jinjun Xu, Denoising by BV-Duality, April 2005
(05-20)
C.M. Topaz, A.L. Bertozzi, and M.A. Lewis, A Nonlocal Continuum Model for Biological Aggregation, April 2005
(05-19)
Martin Burger, Vincenzo Capasso and Livio Pizzocchero, Mesoscale Averaging of Nucleation and Growth Models, March 2005
(05-18)
Tony F. Chan, Selim Esedoglu and Frederick E. Park, Image Decomposition Combining Staircase Reduction and Texture Extraction, March 2005
(05-17)
John B. Greer, Andrea L. Bertozzi and Guillermo Sapiro, Fourth Order Partial Differential Equations on General Geometries, March 2005
(05-16)
Jianhong (Jackie) Shen, Gamma-Convergence Approximation to Piecewise Constant Mumford-Shah Segmentation, March 2005
(05-15)
Kirsten Morris and Carmeliza Navasca, Iterative Solution of Algebraic Riccati Equations Using a Modified Newton-Kleinman Method MTNS 2004, March 2005
(05-14)
Stefan Kindermann and Carmeliza Navasca, Optimal control methods for ill-posed problems, March 2005
(05-13)
Triet Le, Linh Lieu and Luminita Vese, BV and dual of BV image decomposition models and minimization algorithms, March 2005
(05-12)
Emmanuel Candes, Justin Romberg and Terence Tao, Stable Signal Recovery from Incomplete and Inaccurate Measurements, March 2005
(05-11)
Sung Ha Kang and Jianhong (Jackie) Shen, On the Slicing Moments of BV Functions and Applications to Image Dejittering, March 2005
(05-10)
Jean-Francois Aujol, Guy Gilboa, Tony Chan, and Stanley Osher, Structure-Texture Image Decomposition - Modeling, Algorithms, and Parameter Selection, February 2005
(05-09)
Emmanuel Candes and Justin Romberg, Practical Signal Recovery from Random Projections, February 2005
(05-08)
Emmanuel Candes and Terence Tao, Decoding by Linear Programming, February 2005
(05-07)
Jianliang Qian, Yong-Tao Zhang, and HongKai Zhao, Fast sweeping methods for eikonal equations on triangulated domains, February 2005
(05-06)
Jianhong Shen, Progressive Halftoning by Perona-Malik Error Diffusion and Stochastic Flipping, February 2005
(05-05)
Chiu Yen Kao, Stanley Osher and Eli Yablonovitch, Maximizing Band Gaps in Two-Dimensional Photonic Crystals by Using Level Set Methods, January 2005
(05-04)
X. Bresson, S. Esedoglu, P. Vandergheynst, J.P. Thiran and S. Osher, Global Minimizers of the Active Contour/Snake Model, January 2005
(05-03)
Marcel Jackowski, Chiu Yen Kao, Maolin Qiu, R. Todd Constable and Lawrence H. Staib, White Matter Tractography by Anisotropic Wavefront Evolution and Diffusion Tensor Imaging, January 2005
(05-02)
David M. Strong, Jean-Francois Aujol and Tony Chan, Scale Recognition, Regularization Parameter Selection, and Meyer's G Norm in Total Variation Regularization, January 2005
(05-01)
T. Chan, S. Esedoglu, F. Park and A. Yip, Recent Developments in Total Variation Image Restoration, January 2005
(04-75)
Stefan Kindermann, Stanley Osher and Peter W. Jones, Deblurring and Denoising of Images by Nonlocal Functionals, December 2004 (Revised April 2005)
(04-74)
Thomas Cecil and Daniel E. Marthaler, A Variational Approach to Path Planning in Three Dimensions Using Level Set Methods, December 2004
(04-73)
Jean-Francois Aujol and Sung Ha Kang, Color Image Decomposition and Restoration, December 2004
(04-72)
Tony F. Chan and Sung Ha Kang, Error Analysis for Image Inpainting, December 2004 (revised Nov. 2005)
(04-71)
Emmanuel Candes and Terence Tao, Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?, December 2004
(04-70)
Emmanuel Candes, Justin Romberg and Terence Tao, Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information, December 2004
(04-69)
Emmanuel J. Candes and Justin Romberg, Quantitative Robust Uncertainty Principles and Optimally Sparse Decompositions, December 2004
(04-68)
Yen-Hsi Richard Tsai and Stanley Osher, Total Variation and Level Set Based Methods in Image Science, November 2004
(04-67)
Frank Losasso, Ronald Fedkiw and Stanley Osher, Spatially Adaptive Techniques for Level Set Methods and Incompressible Flow, November 2004
(04-66)
Jean-Francois Aujol and Guy Gilboa, Implementation and Parameter Selection for BV-Hilbert Space Regularizations, November 2004
(04-65)
Jean-Francois Aujol and Tony F. Chan, Combining Geometrical and Textured Information to Perform Image Classification, November 2004
(04-64)
Martin Burger, Surface Diffusion Including Free Adatoms, October 2004
(04-63)
Selim Esedoglu and Yen-Hsi Richard Tsai, Threshold Dynamics for the Piecewise Constant Mumford-Shah Functional, October 2004
(04-62)
Susana Serna and Jianliang Qian, Fifth Order Weighted Power-ENO Methods for Hamilton-Jacobi Equations, October 2004
(04-61)
, Thomas Cecil and Daniel Marthaler, A Variational Approach to Search and Path Planning Using Levelset Methods, September 2004
(04-60)
Sung Ha Kang and Jianhong Shen, Video Dejittering by Bake and Shake, September 2004
(04-59)
Bernardo Cockburn, Jianliang Qian, Fernando Reitich and Jing Wang, An Accurate Spectral/Discontinuous Finite-Element Formulation of a Phase-Space-Based Level Set Approach to Geometrical Optics, September 2004
(04-58)
Andy M. Yip, Edmond H. Wu, Michael K. Ng and Tony F. Chan, Finding Dense Regions in Gene Expression Data, September 2004 (revised Sept. 2006)
(04-57)
Bao Q. Nguyen, Yao-Li Chuang, David Tung, Chung H. Hsieh, Zhipu Jin, Ling Shi, Daniel Marthaler, Aandrea L. Bertozzi, and Richard M. Murray, Virtual attractive-repulsive potentials for cooperative control of second order dynamic vehicles on the Caltech MVWT, September 2004
(04-56)
Chung H. Hsieh, Zhipu Jin, Daniel Marthaler, Bao Q. Nguyen, David J. Tung, Andrea L. Bertozzi, and Richard M. Murray, Experimental Validation of an Algorithm for Cooperative Boundary Tracking, September 2004
(04-55)
David J Tung, Bao Q. Nguyen, Yao-Li Chuang, Chung H. Hsieh, Zhipu Jin, Ling Shi, Daniel Marthaler, Andrea L. Bertozzi, and Richard M. Murray, Experimental Implementation of an Algorithm for Cooperative Searching of Target Sites, September 2004
(04-54)
Tony F. Chan, Selim Esedoglu and Mila Nikolova, Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models, September 2004
(04-53)
Hailin Jin, Stefano Soatto and Anthony J. Yezzi, Multi-view Stereo Reconstruction of Dense Shape and Complex Appearance, September 2004
(04-52)
Ali Haddad and Yves Meyer, Variational Methods in Image Processing, September 2004
(04-51)
He Lin, Antonio Marquina and Stanley J. Osher, Blind Deconvolution Using TV Regularization and Bregman Iteration, September 2004
(04-50)
Daniel Marthaler, Andrea L. Bertozzi and Ira B. Schwartz, Levy Searches Based on a priori Information: The Biased Levy Walk, September 2004
(04-49)
Wei Zhu, Tony Chan and Selim Esedoglu, Segmentation with Depth: A Level Set Approach, August 2004
(04-48)
Junjie Zhou, B. Dupuy, A.L. Bertozzi and A.E. Hosoi, Shock Dynamics in Particle-Laden Thin Films, July 2004
(04-47)
Tony F. Chan, Jianhong Shen and Hao-Min Zhou, Total Variation Wavelet Inpainting, July 2004
(04-46)
S. Leung, J. Qian and S. Osher, A Level Set Method for Three-dimensional Paraxial Geometrical Optics with Multiple Sources, July 2004
(04-45)
Tony F. Chan, Andy M. Yip, and Frederick E. Park, Simultaneous Total Variation Image Inpainting and Blind Deconvolution, July 2004
(04-44)
Daniel Cremers, Stanley J. Osher and Stefano Soatto, Kernel Density Estimation and Intrinsic Alignment for Knowledge-driven Segmentation: Teaching Level Sets to Walk, July 2004
(04-42)
Tony F. Chan, Jason Cong, Tim (Tianming) Kong and Joseph R. Shinnerl, Multilevel Circuit Placement June 2004
(04-41)
Tony F. Chan, Jason Cong, Tianming Kong, and Joseph R. Shinnerl, Multilevel Optimization for Large-Scale Circuit Placement, June 2004
(04-40)
Tony F. Chan, Jason Cong, Tim Kong, Joseph R. Shinnerl, and Kenton Sze, An Enhanced Multilevel Algorithm for Circuit Placement, June 2004
(04-39)
Thomas Cecil, A Numerical Method for Computing Minimal Surfaces in Arbitrary Dimension, June 2004
(04-38)
Chad M. Topaz, Jeff Porter and Mary Silbert, Multi-Frequency Control of Faraday Wave Patterns, June 2004
(04-37)
Yong-Tao Zhang, Hong-Kai Zhao and Jianliang Qian, High Order Fast Sweeping Methods for Static Hamilton-Jacobi Equations, June 2004
(04-36)
Triet M. Le and Luminita Vese, Image decomposition using total variation and div(BMO), June 2004
(04-35)
Andreas Obereder, Stanley Osher and Otmar Scherzer, On the Use of Dual Norms in Bounded Variation Type Regularization, June 2004
(04-34)
Christopher R. Anderson and Thomas C. Cecil, A Fourier-Wachspress Method for Solving Helmholtz's Equation in Three Dimensional Layered Domains, June 2004
(04-33)
Richard Sharp, Yen-Hsi Tsai and Bjorn Engquist, Multiple Time Scale Numerical Mtehods for the Inverted Pendulum Problem, May 2004
(04-32)
Xue-Cheng Tai, Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids, May 2004
(04-31)
Johan Lie, Marius Lysaker and Xue-Cheng Tai, A Binary Level Set Model and Some Applications to Mumford-Shah Image Segmentation, May 2004
(04-30)
Marius Lysaker, Tony Chan and Xue-Cheng Tai, Level Set Method for Positron Emission, May 2004
(04-29)
Edmond H. Wu, Michael K. Ng, Andy M. Yip and Tony F. Chan, A Clustering Model for Mining Evolving Web User Patterns in Data Stream Environment, April 2004
(04-28)
Andy M. Yip, Edmond H. Wu, Michael K. Ng and Tony F. Chan, Unsupervised Dense Regions Discovery in DNA Microarray Data, April 2004
(04-27)
Edmond H. Wu, Michael K. Ng, Andy M. Yip and Tony F. Chan, Discretization of Multidimensional Web Data for Informative Dense Regions Discovery, April 2004
(04-26)
Christopher R. Anderson and Christopher Elion, Accelerated Soutions of Nonlinear Equations Using Stabilized Runge-Kutta Methods, April 2004
(04-25)
Kirsten Morris and Carmeliza Navasca, Solution of Algebraic Riccati Equations Arising in Control of Partial Differential Equations, April 2004
(04-24)
Chiu Yen Kao, Carmeliza Navasca and Stanley Osher, The Lax-Friedrichs Sweeping Method for Optimal Control Problems in Continuous and Hybrid Dynamics, April 2004
(04-23)
Stanley Osher and Otmar Scherzer, G-Norm Properties of Bounded Variation Regularization, April 2004
(04-22)
Jianhong Shen, On the Foundations of Vision Modeling V. Noncommutative Monoids of Occlusive Preimages, April 2004
(04-21)
Andrea L. Bertozzi, Mathieu Kemp and Dan Marthaler, Determining Environmental Boundaries: Asynchronous Communication and Physical Scales, March 2004
(04-20)
Andrea Bertozzi, John Greer, Stanley Osher and Kevin Vixie, Nonlinear Regularizations of TV Based PDEs for Image Processing, March 2004
(04-19)
Mark Bowen, Jeanman Sur, Andrea L. Bertozzi and Robert P. Behringer, Nonlinear Dynamics of Two-Dimensional Undercompressive Shocks, March 2004
(04-18)
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau, Volumetric Harmonic Brain Mapping, March 2004
(04-17)
Xianfeng Gu, Yalin Wang, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau, Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping, March 2004
(04-16)
Bjorn Engquist, Anna-Karin Tornberg and Richard Tsai, Discretization of Dirac Delta Functions in Level Set Methods, March 2004
(04-14)
Alex D. Leow, Andrew Y. Wang, Hillary D. Protas and Paul M. Thompson, Brain Warping Via Landmark Points and Curves with a Level Set Representation, March 2004
(04-13)
Stanley Osher, Martin Burger, Donald Goldfarb, Jinjun Xu and Wotao Yin, An Iterative Regularization Method for Total Variation Based Image Restoration, March 2004
(04-12)
Martin Burger, Lecture Notes On Numerical Methods for Incompressible Flow, March 2004
(04-11)
Martin Burger, Lecture Notes on Infinite-dimensional Optimization and Optimal Design, March 2004
(04-10)
Martin Burger and Stanley Osher, Convergence Rates of Convex Variational Regularization, March 2004
(04-09)
Thomas Cecil and Stanley Osher, Regularized Wulff Flows, Nonconvex Energies and Backwards Parabolic Equations, March 2004
(04-08)
Marcel Jackowski, Chiu Yen Kao and Lawrence Staib, Estimation of Anatomical Connectivity by Anisotropic Front Propagation and Diffusion Tensor Imaging, March 2004
(04-07)
Tony F. Chan and Selim Esedoglu, Aspects of Total Variation Regularized $L^1$ Function Approximation, February 2004
(04-06)
Martin Burger, Numerical Simulation of Anisotropic Surface Diffusion with Curvature-Dependent Energy, February 2004
(04-05)
Yao-li Chuang, Ram Oren, Andrea L. Bertozzi, Nathan Phillips and Gabriel G. Katul, The Porous Media Model for the Hydraulic System of a Tree: From Sap Flux Data to Transpiration Rate, February 2004 (revised 5-2005)
(04-04)
Susana Serna and Antonio Marquina, Capturing Shock Waves in Inelastic Granular Gases, February 2004
(04-03)
Li-Tien Cheng and Richard Tsai, Visibility Optimization using Variational Approaches, February 2004 (revised October 2004)
(04-02)
Martin Burger and Stanley J. Osher, A Survey on Level Set Methods for Inverse Problems and Optimal Design, January 2004
(04-01)
Dominique Apprato, Dominique Ducassou, Christian Gout, Eric Laffon and Carole Le Guyader, Segmentation of Medical Images Sequence for Non Invasive Assessment of Pulmonary Arterial Hypertension, January 2004
(03-77)
Tony F. Chan and Selim Esedoglu, A Multiscale Algorithm for Mumford-Shah Image Segmentation, December 2003
(03-76)
Andy M. Yip, Edmond H. Wu, Michael K. Ng and Tony F. Chan, An Efficient Algorithm for Dense Regions Discovery from Large-Scale Data Streams, December 2003
(03-75)
Chiu Yen Kao, Stanley Osher and Yen-Hsi Tsai, Fast Sweeping Methods for Static Hamilton-Jacobi Equations, December 2003
(03-74)
Jianhong Shen and Yoon-Mo Jung, On the Foundations of Vision Modeling Iv. Weberized Mumford-Shah Model with Bose-Einstein Noise: Light Adapted Segmentation Inspired by Vision Psychology, Retinal Physiology, and Quantum Statistics, December 2003
(03-71)
R. Burridge and J. Qian, The Fundamental Solution of the Time-Dependent System of Crystal Optics, December 2003
(03-70)
Selim Esedoglu, Blind Deconvolution of Bar Code Signals, November 2003
(03-69)
K. Majava and X.-C. Tai, A Level Set Method for Solving Free Boundary Problems Associated with Obstacles, November 2003
(03-68)
Xue-Cheng Tai and Tony F. Chan, Multiple Level Set Methods and Some Applications for Identifying Piecewise Constant Functions, November 2003
(03-67)
Chohong Min, Local Level Set Method in High Dimension and Codimension, November 2003
(03-66)
Tony Chan and Wei Zhu, Level Set Based Shape Prior Segmentation, November 2003
(03-65)
Wei Zhu and Tony Chan, Capture Illusory Contours: A Level Set Based Approach, November 2003
(03-64)
Eric T. Chung, Tony F. Chan and Xue-Cheng Tai, Electrical Impedance Tomography Using Level Set Representation and Total Variational Regularization, November 2003
(03-63)
Paolo Favaro, Martin Burger and Stefano Soatto, Scene Motion Reconstruction from Defocused and Motion-Blurred Images via Anisotropic Diffusion, November 2003
(03-62)
Anna-Karin Tornberg and Bjorn Engquist, Numerical Approximations of Singular Source Terms in Differential Equations, November 2003
(03-61)
P. Favaro, S. Osher, S. Soatto and L. Vese, 3D Shape from Anisotropic Diffusion, November 2003
(03-60)
Jianliang Qian and Shingyu Leung, A Local Level Set Method for Paraxial Geometrical Optics, November 2003
(03-59)
Andy M. Yip and Frederick Park, Solution Dynamics, Causality, and Critical Behavior of the Regularization Parameter in Total Variation Denoising Problems, October 2003
(03-58)
Douglas Enright, Frank Losasso and Ronald Fedkiw, A Fast and Accurate Semi-Lagrangian Particle Level Set Method, October 2003
(03-57)
Thomas Cecil, Stanley Osher and Luminita Vese, Numerical Methods for Minimization Problems Constrained to $S^1$ and $S^2$, October 2003
(03-56)
Martin Burger and Wolfram Muhlhuber, SQP Methods for Parameter Identification, October 2003
(03-55)
Hend Ben Ameur, Martin Burger and Benjamin Hackl, On Some Geometric Inverse Problems in Linear Elasticity, October 2003
(03-54)
Eric T. Chung and Bjorn Engquist, Convergence Analysis of Fully Discrete Finite Volume Methods for Maxwell's Equations in Non-Homogeneous Media, October 2003
(03-53)
Jason T. Chung and Luminita A. Vese, Image Segmentation Using a Multilayer Level-Set Approach, September 2003
(03-51)
Tom Cecil, Jianliang Qian and Stanley Osher, Numerical Methods for High Dimensional Hamilton-Jacobi Equations Using Radial Basis Functions, September 2003
(03-50)
Johan Lie, Marius Lysaker and Xue-Cheng Tai, A Variant of the Level Set Method and Applications to Image Segmentation, September 2003
(03-49)
Doron Levy, Chi-Wang Shu and Jue Yan, Local Discontinuous Galerkin Methods for Nonlinear Dispersive Equations, September 2003
(03-48)
Andy M. Yip, Chris Ding and Tony F. Chan, Dynamic Cluster Formation Using Level Set Methods, September 2003
(03-47)
Thomas C. Cecil, Numerical Methods for Partial Differential Equations Involving Discontinuities, September 2003
(03-46)
Martin Burger, Benjamin Hackl and Wolfgang Ring, Incorporating Topological Derivatives into Level Set Methods, September 2003
(03-45)
Martin Burger, Levenberg-Marquardt Level Set Methods for Inverse Obstacle Problems, September 2003
(03-44)
Christian Gout, Carole Le Guyader and Luminita Vese, Segmentation Under Geometrical Conditions Using Geodesic Active Contours and Interpolation Using Level Set Methods, September 2003
(03-43)
I.A. Fedorov, K.W. Kim, R.E. Caflisch and E. Yablonovitch, A Scalable Quantum Gate Design for Quantum Computation, August 2003
(03-42)
Michael Siegel, Russel E. Caflisch and Sam Howison, Global Existence, Singular Soutions and Ill-Posedness for the Muskat Problem, August 2003
(03-41)
Russel E. Caflisch and David G. Meyer, A Reduced Order Model for Epitaxial Growth, August 2003
(03-40)
Laurent Demanet, Bing Song and Tony Chan, Image Inpainting by Correspondence Maps: a Deterministic Approach, August 2003
(03-39)
Jianliang Qian, Two Approximations for Effective Hamiltonians Arising from Homogenization of Hamilton-Jacobi Equations, August 2003
(03-38)
Chiu Yen Kao, Stanley Osher and Jianliang Qian, Lax-Friedrichs Sweeping Scheme for Static Hamilton-Jacobi Equations, August 2003
(03-37)
Andy M. Yip, Tony F. Chan and Tarek P. Mathew, A Scale Dependent Model for Clustering by Optimization of Homogeneity and Separation, August 2003
(03-36)
K.F. Ho, C.D. Beling, S. Fung, K.W. Cheng, Michael K. Ng and A.M. Yip, Deconvolution of Positron Annihilation Coincidence Doppler Broadening Spectra Using Iterative Projected Newton Method with Non-Negativity Constraints, August 2003
(03-35)
Jeff Porter, Chad M. Topaz and Mary Silber, Pattern Control via Multi-Frequency Parametric Forcing, July 2003 (updated 6/2004)
(03-34)
Stanley J. Osher and Selim Esedoglu, Decomposition of Images by the Anisotropic Rudin-Osher-Fatemi Model, July 2003
(03-33)
E. Haber, A Multilevel, Level-Set Method for Optimizing Eigenvalues in Shape Design Problems, July 2003
(03-32)
Eitan Tadmor, Suzanne nezzar and Luminita Vese, A Multiscale Image Representation Using Hierarchical $(BV,L^2)$ Decompositions, July 2003
(03-31)
Martin Burger, Stanley J. Osher and Eli Yablonovitch, Inverse Problem Techniques for the Design of Photonic Crystals, July 2003
(03-30)
Martin Burger, Vincenzo Capasso and Daniela Morale, On an Aggregation Model with Long and Short Range Interactions, July 2003
(03-29)
Doug Enright, Duc Nguyen, Frederic Gibou and Ron Fedkiw, Using the Particle Level Set Method and a Second Order Accurate Pressure Boundary Condition for Free Surface Flows, July 2003
(03-28)
Jianliang Qian and Shingyu Leung, A Level Set Based Eulerian Method for Paraxial Multivalued Traveltimes, June 2003
(03-27)
Bing Song, Topics in Variational PDE Image Segmentation, Inpainting and Denoising, (Ph.D. Thesis) June 2003
(03-26)
Andrea L. Bertozzi and John B. Greer, Low Curvature Image Simplifiers: Global Regularity of Smooth Solutions and Laplacian Limiting Schemes, June 2003
(03-25)
J.B. Greer and A.L. Bertozzi, Traveling Wave Solutions of Fourth Order PDEs for Image Processing, June 2003
(03-24)
Chad M. Topaz and Andrea L. Bertozzi, Swarming Patterns in Two-Dimensional Kinematic Model for Biological Groups, June 2003 (updated 6/2004)
(03-23)
Wei-Hsun Liao, Mathematical Techniques in Object Matching and Computational Anatomy: a New Framework Based on the Level Set Method, (Ph.D. thesis), June 2003
(03-22)
Yen-Hsi Richard Tsai, Li-Tien Cheng, Stanley Osher, Paul Burchard and Guillermo Sapiro, Visibility and Its Dynamics in a PDE Based Implicit Framework, June 2003
(03-21)
Bjorn Engquist and Richard Tsai, Heterogeneous Multiscale Methods for Stiff Ordinary Differential Equations, June 2003
(03-20)
Suzanne Nezzar, A Multiscale Image Representation Using Hierarchical (BV,L2) Decompositions, (Ph.D. thesis), May 2003
(03-19)
Jianhong Shen and Yoon Mo Jung, On the Foundations of Vision Modelling III. Pattern-Theoretic Analysis of Hopf and Turing's Reaction-Diffusion Patterns, May 2003
(03-18)
Daniel Marthaler and Andrea L. Bertozzi, Tracking Environmental Level Sets wit Autonomous Vehicles, April 2003
(03-17)
Daniel Marthaler and Andrea L. Bertozzi, Collective Motion Algorithms for Determining Environmental Boundaries, April 2003
(03-16)
Yen-Hsi Tsai and Yoshikazu Giga, A Numerical Study of Anisotropic Crystal Growth with Bunching Under Very Singular Vertical Diffusion, April 2003
(03-15)
Tony F. Chan and Xue-Cheng Tai, Level Set and Total Variation Regularization for Elliptic Inverse Problems With Discontinuous Coefficients, April 2003
(03-14)
Mark Moelich and Tony Chan, Tracking Objects with the Chan-Vese Algorithm, March 2003
(03-13)
Xianfeng Gu, Yalin Wang, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau, Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping, March 2003
(03-12)
B.A. Wagner, A.L. Bertozzi and L.E. Howle, Positive Feedback Control of Rayleigh-Benard Convection, February 2003
(03-11)
John B. Greer and Andrea L. Bertozzi, $H^1$ Solutions of a Class of Fourth Order Nonlinear Equations for Image Procesing, February 2003
(03-10)
Jeanman Sur, Andrea L. Bertozzi and Robert P. Behringer, Reverse Undercompressive Shock Structures in Driven Thin Film Flow, February 2003
(03-09)
Wei Zhu and Tony Chan, Illusory Contours Using Shape Information, February 2003
(03-08)
Wei Zhu and Tony Chan, Stability for Shape Comparison Model, February 2003
(03-07)
Chohong Min, Simplicial Isosurfacing in Arbitrary Dimension and Codimension, February 2003 (Revised April 2003)
(03-06)
Mark Moelich and Tony Chan, Joint Segmentation and Registration Using Logic Models, February 2003
(03-05)
Joris R. Rommelse, Hai-Xiang Lin and Tony F. Chan, A Robust Level Set Algorithm for Image Segmentation and its Parallel Implementation, February 2003
(03-04)
Richard Tsai and Stanley Osher, Level Set Methods in Image Science, January 2003
(03-03)
Marius Lysaker, Stanley Osher, Xue-Cheng Tai, Noise Removal Using Smoothed Normals and Surface Fitting, January 2003
(03-02)
Wei-Hsun Liao, Luminita Vese, Henry Huang, Marvin Bergsneider and Stanley Osher, Computational Anatomy, Object Matching, and the Level Set Method, January 2003
(02-68)
Bing Song and Tony Chan, A Fast Algorithm for Level Set Based Optimization, December 2002
(02-67)
Susana Serna and Antonio Marquina, Power ENO Methods: A Fifth Order Accurate Weighted Power ENO Method, December 2002
(02-66)
Chiu Yen Kao, Stanley Osher and Yen-Hsi Tsai, Fast Sweeping Methods for Hamilton-Jacobi Equations, December 2002
(02-65)
Richard Tsai, Li-Tien Cheng and Heinz-Otto Kreiss, Supra-Convergence of Linear Equations on Irregular Cartesian Grids, December 2002
(02-64)
J. Shen, Bayesian Video Dejittering by BV Image Model, December 2002
(02-63)
T.F. Chan and J. Shen, Variational Image Inpainting, December 2002
(02-62)
J. Shen, On the Foundations of Vision ModelingII. Mining of Mirror Symmetry of 2-D Shapes, December 2002
(02-61)
T.F. Chan, J. Shen and L. Vese, Variational PDE Models in Image Processing, December 2002
(02-60)
Bo Li and Jian-Guo Liu, Thin Film Epitaxy With or Without Slope Selection, December 2002
(02-59)
W.-H. Liao, A. Khuu, M. Bergsneider, L. Vese, S.-C. Huang and S. Osher, From Landmark Matching to Shape and Open Curve Matching: A Level Set Approach, November 2002
(02-58)
Barry Merriman, Understanding the Shu-Osher Conservative Finite Difference Form, October 2002
(02-57)
Stanley Osher, Andres Sole and Luminita Vese, Image decomposition and restoration using total variation minimization and the $H^{-1$ norm}, October 2002
(02-56)
Tolga Tasdizen, Ross Whitaker, Paul Burchard and Stanley Osher, Geometric Surface Smoothing via Anisotropic Diffusion of Normals, October 2002
(02-55)
Mark L. Green, Statistics of Images, the TV Algorithm of Rudin-Osher-Fatemi for Image Denoising and an Improved Denoising Algorithm, October 2002
(02-54)
David A. Huckaby and Tony F. Chan, Stewart's Pivoted QLP Decomposition for Low-Rank Matrices, September 2002
(02-53)
Xingwei Hu, Value of Loss in n-Person Games, August 2002
(02-51)
Diego Dugatkin, Hao-Min Zhou, Tony F. Chan and Michelle Effros, Lagrangian Optimization of a Group Testing for ENO Wavelets Algorithm, August 2002
(02-50)
Tony F. Chan and Hao-Min Zhou ENO-Wavelet Transforms and Some Applications, August 2002
(02-49)
Selim Esedoglu and Riccardo March, Segmentation With Depth but Without Detecting Junctions, August 2002
(02-48)
Xingwei Hu, On Winning Structures, August 2002
(02-47)
M. Bertalmio, L. Vese, G. Sapiro and S. Osher, Simultaneous Structure and Texture Image Inpainting, July 2002
(02-44)
M. Lysaker, A. Lundervold and X.-C. Tai, Noise Removal Using Fourth-Order Partial Differential Equations with Applications to Medical Magnetic Resonance Images in Space and Time, July 2002
(02-43)
Stanley Osher, Level Set Method: Applications to Imaging Science, July 2002
(02-42)
S. Durand and M. Nikolova, Stability of Minimizers of Regularized Least Squares Objective Functions II: Study of the Global Behavior, July 2002
(02-41)
S. Durand and M. Nikolova, Stability of Minimizers of Regularized Least Squares Objective Functions I: Study of the Local Behavior, July 2002
(02-40)
Mila Nikolova, Minimizers of Cost-Functions Involving Non-Smooth Data-Fidelity Terms. Application to the Processing of Outliers, July 2002
(02-39)
Berta Sandberg, Tony Chan and Luminita Vese, A Level-Set and Gabor-Based Active Contour Algorithm for Segmenting Textured Images, July 2002
(02-38)
Songming Hou and Xu-Dong Liu, A Numerical Method for Solving Variable Coefficient Elliptic Equation with Interfaces, July 2002
(02-37)
Anna-Karin Tornberg and Bjorn Engquist, Regularization Techniques for Numerical Approximation of PDEs with Singularities, July 2002
(02-36)
Luminita Vese, Multiphase Object Detection and Image Segmentation, June 2002
(02-35)
Xingwei Hu and Lloyd S. Shapley, On Authority Distributions in Organizations: Controls, June 2002
(02-34)
Xingwei Hu, Asymmetric Shapley-Shubik Power Index, June 2002
(02-33)
Xingwei Hu and Lloyd S. Shapley, On Authority Distributions in Organizations: Equilibrium, June 2002
(02-32)
Hongkai Zhao and Stanley Osher, Visualization, Analysis and Shape Reconstruction of Unorganized Data Sets, May 2002
(02-31)
Sung Ha Kang, Tony F. Chan and Stefano Soatto, Inpainting from Multiple View, May 2002
(02-30)
David A. Huckaby, Analysis and Applications of Stewart's Pivoted QLP Decomposition (Ph.D. thesis), May 2002
(02-29)
David A. Huckaby and Tony F. Chan, On the Convergence of Stewart's QLP Algorithm for Approximating the SVD, May 2002
(02-27)
Jian-Jun Xu and Hong-Kai Zhao, An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface, May 2002
(02-26)
Jianhong Shen, On Some Quantum and Analytical Properties of Fractional Fourier Transforms, May 2002
(02-25)
Sung Ha Kang, Mathematical Approaches to Color Denoising and Image Inpainting Problems, Ph.D. Thesis, May 2002
(02-24)
W.L. Wan and Tony F. Chan, A Phase Velocity Analysis of Multigrid Methods for Hyperbolic Equations, May 2002
(02-23)
Russel E. Caflisch and Bo Li, Analysis of Island Dynamics in Epitaxial Growth of Thin Films, May 2002
(02-22)
, Raymond H. Chan, Tony F. chan, Lixin Shen and Zuowei Shen, Wavelet Deblurring Algorithms for Spatially Varying Blur from High-Resolution Image Reconstruction, May 2002
(02-21)
Raymond H. Chan, Tony F. Chan, Lixin Shen and Zuowei Shen, Wavelet Algorithms for High-Resolution Image Reconstruction, May 2002
(02-20)
Jianhong Shen, Weber's Law and Weberized TV Restoration, May 2002
(02-19)
Luminita A. Vese and Stanley J. Osher, Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing, May 2002
(02-18)
Frederic Gibou, Ronald Fedkiw, Russel Caflisch and Stanley Osher, A Level Set Approach for the Numerical Simulation of Dendritic Growth, April 2002
(02-17)
M. Bertalmio, F. Memoli, L.T. Cheng, G. Sapiro and S. Osher, Variational Problems and Partial Differential Equations on Implicit Surfaces, April 2002
(02-16)
W.L. Wan and T.F. Chan, Wave Propagation Analysis of Multigrid Methods for Convection Dominated Problems (DD14 proceeding paper), April 2002
(02-15)
Weinan E and Bjorn Engquist, The Heterogeneous Multi-Scale Methods, April 2002
(02-14)
Tony F. Chan and Jianhong Shen, On the Role of the BV Image Model in Image Restoration, April 2002
(02-13)
Jamylle Laurice Carter, Dual Methods for Total Variation-Based Image Restoration (Ph.D. Thesis), April 2002
(02-12)
Berta Sandberg and Tony Chan, Logic Operations for Active Contours on Multi-Channel Images, March 2002
(02-11)
Sung Ha Kang, Tony F. Chan and Stefano Soatto, Landmark Based Inpainting from Multiple Views, March 2002
(02-10)
Xue-Cheng Tai, Some New Domain Decomposition and Multigrid Methods for Variational Inequalities, March 2002
(02-09)
B. Heimsund, X.-C. Tai and J. Wang, Superconvergence for the Gradient of Finite Element Approximations by $L^2$-Projections, March 2002
(02-08)
Antonio Marquina and Pep Mulet, A Fux-Split Algorithm Applied to Conservative Models for Multicomponent Compressible Flows, March 2002
(02-07)
Hailiang Liu and Eitan Tadmor, Critical Thresholds in 2D Restricted Euler-Poisson Equations, March 2002
(02-06)
Richard Tsai, Paul Burchard, Li-Tien Cheng, Stanley Osher and Guillermo Sapiro, Dynamic Visibility in a Level Set Based Implicit Frame Work, February 2002
(02-04)
Facundo Memoli, Guillermo Sapiro and Stanley Osher, Solving Variational Problems and Partial Differential Equations Mapping into General Target Manifolds, January 2002
(02-03)
Tolga Tasdizen, Ross Whitaker, Paul Burchard and Stanley Osher, Geometric Surface Processing via Normal Maps, January 2002
(02-02)
Tony F. Chan and Ke Chen, On Two Variants of an Algebraic Wavelet Preconditioner, January 2002
(02-01)
Paul Burchard, Total Variation Geometry I: Concepts and Motivation, January 2002
(01-34)
Gui-Qiang Chen and Hailiang Liu, Formation of Delta-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Isentropic Euler Equations, December 2001
(01-33)
Ronald P. Fedkiw, Guillermo Sapiro and Chi-Wang Shu, Shock Capturing, Level Sets and PDE Based Methods in Computer Vision and Image Processing: A Review on Osher's Contribution, December 2001
(01-32)
Stefano Soatto and Anthony J. Yezzi, Deformotion Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images, December 2001
(01-31)
Eitan Tadmor, From Semidiscrete to Full Discrete: Stability of Runge-Kutta Schemes by the Energy Method. II, December 2001
(01-30)
R.E. Caflisch and Cheng Ly, Analytic Model for Electron Confinement in a Layered Material, November 2001
(01-29)
Yen-Hsi Tsai, Research Statement, October 2001
(01-28)
Hailiang Liu and Eitan Tadmor, Spectral Dynamics of the Velocity Gradient Field in Restricted Flows, October 2001
(01-27)
Yen-hsi Richard Tsai, Li-Tien Cheng, Stanley Osher and Hong-Kai Zhao, Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations, October 2001
(01-26)
Selim Esedoglu and Jianhong Shen, Digital Inpainting Based on the Mumford-Shah-Euler Image Model, September 2001
(01-25)
Luminita A. Vese and Tony F. Chan, A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model, September 2001
(01-24)
Haitao Fan and Hailiang Liu Pattern Formation, Wave Propagation and Stability in Conservation Laws with Slow Diffusion and Fast Reaction, September 2001
(01-23)
F. Malgouyres, A Unified Framework for Image Restoration, August 2001
(01-22)
Luminita A. Vese and Stanley J. Osher, Numerical Methods for $p-harmonic$ Flows and Applications to Image Processing, August 2001 (Note: page 18 contains color pictures)
(01-21)
K.H. Karlsen, N.H. Risebro and J.D. Towers, Convergence of an Upwind Difference Scheme for Degenerate Parabolic Convection-Diffusion Equations with a Discontinuous Coefficient, July 2001
(01-20)
Frederic G. Gibou, Rate Equations in Materials Science and Simulation of Multiphase Flows (Ph.D. Thesis), July 2001
(01-19)
F. Malgouyres, A Noise Selection Approach of Image Restoration, June 2001
(01-18)
R. Buerger, K.H. Karlsen, C. Klingenberg and N.H. Risebro, A Front Tracking Approach to a Model of Continuous Sedimentation in Ideal Clarifier-Thickener Units, June 2001
(01-17)
Raimund Burger, Kenneth Hvistendahl Karlsen, Elmer M. Tory and Wolfgang L. Wendland, Model Equations and Instability Regions for the Sedimentation of Polydisperse Suspensions of Spheres, June 2001
(01-16)
Hailiang Liu and Eitan Tadmor, Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws, May 2001 (revised September 2001)
(01-15)
Tony F. Chan and Jianhong Shen, Morphology Invariant PDE Inpaintings, May 2001
(01-14)
Bjorn Engquist and Olof Runborg, Wavelet-Based Numerical Homogenization with Applications, April 2001
(01-13)
Bjorn Engquist, Olof Runborg, Anna-Karin Tornberg, High Frequency Wave Propagation by the Segment Projection Method, April 2001
(01-12)
Tony F. Chan, Sung Ha Kang and Jianhong Shen, Euler's Elastica and Curvature Based Inpaintings, April 2001
(01-11)
Kenneth H. Karlsen, Nils H. Risebro and John D. Towers, On a Nonlinear Degenerate Parabolic Transport-Diffusion Equation with a Discontinuous Coefficient, April 2001
(01-10)
Eitan Tadmor and Jared Tanner, Adaptive Mollifiers -- High Resolution Recovery of Piecewise Smooth Data from its Spectral Information, April 2001
(01-09)
Fred E. Benth, Kenneth H. Karlsen and Kristin Reikvam, Merton's portfolio Optimization Problem in a Black \& Scholes Market with Non-Gaussian Stochastic Volatility of Ornstein-Uhlenbech Type, March 2001
(01-08)
Anthony Yezzi and Stefano Soatto, Stereoscopic Segmentation, March 2001
(01-07)
Shlomo Engelberg, Hailiang Liu and Eitan Tadmor, Critical Thresholds in Euler-Poisson Equations, March 2001
(01-06)
Steinar Evje and Kenneth H. Karlsen, An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations, March 2001
(01-05)
Yen-Hsi Richard Tsai, Yoshikazu Giga and Stanley Osher, A Level Set Approach for Computing Discontinuous Solutions of a Class of Hamilton-Jacobi Equations, February 2001
(01-04)
F. Malgouyres, A Noise Selection Approach of Denoising, February 2001
(01-03)
Espen R. Jakobsen and Kenneth H. Karlsen, Continuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Equations, February 2001
(01-02)
Kenneth H. Karlsen and Mario Ohlberger, A Note on the Uniqueness of Entropy Solutions of Nonlinear Degenerate Parabolic Equations, January 2001
(01-01)
Hong-Kai Zhao, Stanley Osher and Ronald Fedkiw, Implicit Surface Reconstruction and Deformation Using the Level Set Method, January 2001
(00-45)
Francois Malgouyres, Combining Total Variation and Wavelet Packet Approach for Image Deblurring, December 2000
(00-43)
Marcelo Bertalmio, Guillermo Sapiro, Li-Tien Cheng and Stanley Osher, December 2000
(00-42)
Doreen De Leon, Wavelet Techniques Applied to Multigrid Methods, December 2000 (revised April 2002)
(00-41)
Tony F. Chan and Luminita A. Vese, Active Contour and Segmentation Models Using Geometric PDE's for Medical Imaging, December 2000
(00-40)
Francois Malgouyres, Total Variation Based Oversampling of Noisy Images, December 2000
(00-39)
Francois Malgouyres, Convolution Approximation by Mean of an Operator Diagonal in a Wavelet Packet Basis and Application to Image Deblurring, November 2000
(00-38)
David M. Strong and Tony F. Chan, Edge-Preserving and Scale-Dependent Properties of Total Variation Regularization, October 2000
(00-37)
Frederic G. Gibou, Ronald P. Fedkiw, Li-Tien Cheng and Myungjoo Kang, A Symmetric Method for Implicit Time Discretization of the Stefan Problem, October 2000
(00-36)
Yen-Hsi Richard Tsai, Rapid and Accurate Computation of the Distance Function Using Grids, October 2000
(00-35)
Tony F. Chan and Jianhong Shen, Non-Texture Inpainting by Curvature-Driven Diffusions (CDD), September 2000
(00-34)
Alexander Kurganov and Eitan Tadmor, Solution of Two-Dimensional Riemann Problems for Gas Dynamics without Riemann Problem Solvers, September 2000
(00-33)
Anne Gelb and Eitan Tadmor, Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data, September 2000
(00-32)
Li-Tien Cheng, Paul Burchard, Barry Merriman and Stanley Osher, Motion of Curves Constrained on Surfaces Using a Level Set Approach, September 2000
(00-31)
Stanley J. Osher and Fadil Santosa, Level Set Methods for Optimization Problems Involving Geometry and Constraints I. Frequencies of a Two-Density Inhomogeneous Drum, August 2000
(00-30)
Jianhong Shen, On the Singular Values of Gaussian Random Matrices, August 2000
(00-29)
Paul Burchard, Li-Tien Cheng, Barry Merriman and Stanley Osher, Motion of Curves in Three Spatial Dimensions Using a Level Set Approach, July 2000
(00-27)
Tony F. Chan and H.M. Zhou, Optimal Construction of Wavelet Coefficients Using Total Variation Regularization in Image Compression, July 2000
(00-26)
Tony F. Chan and Ke Chen, Two-Stage Preconditioners using Wavelet Band Splitting and Sparse Approximation, July 2000
(00-25)
Tony F. Chan, Sung Ha Kang and Jianhong Shen, Total Variation Denoising and Enhancement of Color Images Based on the CB and HSV Color Models, June 2000
(00-23)
Marcelo Bertalmio, Li-tien Cheng, Stanley Osher and Guillermo Sapiro, Variational Problems and Partial Differential Equations on Implicit Surfaces: The Framework and Examples in Image Processing and Pattern Formation, June 2000
(00-22)
Doreen De Leon, Wavelet Operators Applied to Multigrid Methods, (Ph.D. Thesis), June 2000
(00-21)
Hao-Min Zhou, Wavelet Transforms and PDE Techniques in Image Compression, (Ph.D. Thesis), June 2000
(00-20)
Li-Tien Cheng, The Level Set Method Applied to Geometrically Based Motion, Materials Science, and Image Processing, (Ph.D. Thesis), June 2000
(00-19)
Duc Q. Nguyen, Ronald P. Fedkiw and Myungjoo Kang, A Boundary Condition Capturing Method for Incompressible Flame Discontinuities, June 2000
(00-18)
Hyeseon Shim, Level Set Based Simulations of Two-Phase Oil-Water Flows in Pipes, May 2000
(00-17)
Guillaume Chiavassa and Rosa Donat, Point Value Multi-Scale Algorithms for 2D compressible Flows, May 2000
(00-16)
Eitan Tadmor, On a New Scale of Regularity Spaces with Applications to Euler's Equations, May 2000
(00-14)
Tony F. Chan and Luminita A. Vese, Image Segmentation Using Level Sets and the Piecewise-Constant Mumford-Shah Model, April 2000 (Note: the pictures in this paper are color pictures)
(00-13)
Tony F. Chan and Luminita A. Vese, A Level Set Algorithm for Minimizing the Mumford-Shah Functional in Image Processing, April 2000
(00-12)
Ronald P. Fedkiw, Coupling an Eulerian Fluid Calculation to a Lagrangian Solid Calculation with the Ghost Fluid Method, April 2000
(00-11)
Tony Chan and Jianhong Shen, Mathematical Models for Local Deterministic Inpaintings, March 2000
(00-10)
Tony F. Chan and Petr Vanek, Detection of Strong Coupling in Algraic Multigrid Solvers, March 2000
(00-09)
Russel Caflisch and Bo Li, Island Dynamics Models for Molecular Beam Epitaxy: Stability Analysis and Model Reduction, February 2000
(00-08)
Stanley Osher and Ronald P. Fedkiw, Level Set Methods, February 2000
(00-07)
Hailiang Liu and Wen-An Yong, Admissible Boundary Conditions and Stability of Boundary-Layers for a Hyperbolic Relaxation System, February 2000
(00-06)
U. Iben and E. Tadmor, High Resolution Schemes for Conservation Laws in Simulation of Injection Systems, February 2000
(00-05)
Sigal Gottlieb, Chi-Wang Shu and Eitan Tadmor, High Order Time Discretization Methods with the Strong Stability Preserving Property, February 2000
(00-03)
Susan Chen, Barry Merriman, Myungjoo Kang, Russel E. Caflisch, Christian Ratsch, Li-Tien Cheng, Mark Gyure, Ronald P. Fedkiw and Stanley Osher, Level Set Method for Thin Film Epitaxial Growth, January 2000
(00-01)
Rachel Caiden, Ronald P. Fedkiw and Chris Anderson, A Numerical Method for Two Phase Flow Consisting of Separate Compressible and Incompressible Regions, January 2000
(99-39)
J. Shen, G. Strang, and A.J. Wathen, the Potential Theory of Several Intervals and Its Applications, December 1999
(99-37)
Natalia G. Berloff and Paul H. Roberts, Motions in a Bose Condensate VII. Boundary Layer Separation, December 1999
(99-35)
Tony F. Chan, B. Yezrielev Sandberg and Luminita A. Vese, Active Controus without Edges for Vector-Valued Images, October 1999
(99-34)
Tony F. Chan, Stanley Osher and Jianhong Shen, The Digital TV Filter and Nonlinear Denoising, October 1999
(99-32)
Guo Ben-yu, Ma He-ping and Eitan Tadmor, Spectral Vanishing Viscosity Method for Nonlinear Conservation Laws, October 1999
(99-31)
Ronald P. Fedkiw, The Ghost Fluid Method for Numerical Treatment of Discontinuities and Interfaces, September 1999
(99-30)
Tony F. Chan and W. L. Wan, Robust Multigrid Methods for Elliptic Linear Systems, September 1999
(99-29)
Petr Vanek, Marian Brezina and Jan Mandel, Convergence of Algebraic Multigrid Based on Smoothed Aggregation, September 1999
(99-27)
Myungjoo Kang, Ronald P. Fedkiw and Xu-Dong Liu, A Boundary Condition Capturing Method for Multiphase Incompressible Flow, August 1999
(99-24)
Alexander Kurganov and Eitan Tadmor, New High-Resolution Semi-Discrete Central Schemes for Hamilton-Jacobi Equations, July 1999
(99-23)
Anne Gelb and Eitan Tadmor, Detection of Edges in Spectral Data II. Nonlinear Enhancement, July 1999
(99-22)
Steven J. Ruuth, Barry Merriman and Stanley Osher, A Fixed Grid Method for Capturing the Motion of Self-Intersecting Interfaces and Related PDEs, July 1999
(99-21)
Tony Chan and Hao Min Zhou, Adaptive ENO-Wavelet Transforms for Discontinuous Functions, June 1999
(99-20)
Tony Chan and Jianhong Shen, Variational Restoration of Non-Flat Image Features: Models and Algorithms, June 1999
(99-19)
Tony F. Chan and C.K. Wong, Convergence of the Alternating Minimization Algorithm for Blind Deconvolution, June 1999
(99-18)
Jianhong Shen and Gilbert Strang, On Wavelets Fundamental Solutions to the Heat Equation -- Heatlets, May 1999
(99-17)
Michael K. Ng, Raymond H. Chan, Tony F. Chan and Andy M. Yip, Cosine Transform Preconditioners for High Resolution Image Reconstruction, April 1999
(99-16)
Alexander Kurganov and Eitan Tadmor, New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection-Diffusion Equations, April 1999
(99-15)
Xu-Dong Liu, Ronald P. Fedkiw and Myungjoo Kang, A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains, March 1999
(99-12)
P. Hwang, R.P. Fedkiw, B. Merriman, A.R. Karagozian and S.J. Osher, Numerical Resolution of Pulsating Detonation Waves, March 1999
(99-10)
Petr Vanek, Ales Janka and Herve Guillard, Convergence of Algebraic Multigrid Based on Smoothed Aggregation II: Extension to a Petrov-Galerkin Method, March 1999
(99-9)
Tony F. Chan and Petr Vanek, Multilevel algebraic Elliptic Solvers, February 1999
(99-8)
Russel E. Caflisch, Weinan E, Mark F. Gyure, Barry Merriman and Christian Ratsch, Kinetic Model for a Step Edge in Epitaxial Growth, February 1999
(99-7)
Jianhong Shen, On Some Quantum Mechanical and Mathematical Aspects of Fourier Transforms of Fractional Orders (FTFO), February 1999
(99-6)
Raymond H. Chan, Tony F. Chan, Michael K. Ng, Wun-Cheung Tang and Chiu-Kwong Wong, Preconditioned Iterative Methods for High-resolution Image Reconstruction with Multisensors, February 1999
(99-5)
Antonio Marquina and Stanley Osher, Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal, January 1999
(99-4)
Jianhong Shen, A Geometric Approach to Ergodic Non-Homogeneous Markov Chains, January 1999
(99-3)
Barry Merriman, Russel Caflisch, Stanley Osher, Christian Ratsch, Susan Chen and Myungjoo Kang, Island Dynamics and Level Set Methods for Continuum Modeling of Epitaxial Growth, January 1999
(99-2)
Omar E. Ortiz, Stability of Solutions to the Cauchy Problem of Symmetric Hyperbolic Systems, January 1999
(99-1)
Guojun Liao, Feng Liu, Gary C. de la Pena, Danping Peng, and Stanley Osher, Level Set Based Deformation Methods for Adaptive Grids, January 1999 (NOTE: there are figures that are not included in this postscript version. If you would like a hard copy sent to you please send e-mail)
(98-54)
Susie Go, Multilevel Methods on Unstructured Grids, (Ph.D. thesis), December 1998
(98-53)
Tony F. Chan and Luminita A. Vese, Active Contours Without Edges, December 1998
(98-52)
T. Chan, S. Go and J. Zou, Multilevel Spectral Partioning of Unstructured Grids, December 1998
(98-51)
Danping Peng, Stanley Osher, Barry Merriman and Hong-Kai Zhao, The Geometry of Wulff Crystal Shapes and Its Relations with Riemann Problems, December 1998
(98-50)
Eitan Tadmor and Tao Tang, Pointwise Error Estimates for Relaxation Approximations to Conservation Laws, December 1998
(98-49)
David Kan, Nonlinear Galerkin Based Model Reduction, November 1998
(98-48)
Elias Jonsson, Sung-Cheng Huang and Tony Chan, Total Variation Regularization in Positron Emission Tomography, November 1998
(98-47)
Steven J. Ruuth, Barry Merriman, Jack Xin and Stanley Osher, Diffusion-Generated Motion by Mean Curvature for Filaments, November 1998 (Revised version posted 9/27/01)
(98-46)
Jianhong Shen, Compactification of a Set of Matrices with Convergent Infinite Products, November 1998
(98-45)
Zhilin Li, Hongkai Zhao, and Huajian Gao, A Numerical Study of Electro-Migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid, November 1998
(98-44)
Ron Fedkiw and Xu-Dong Liu, The Ghost Fluid Method for Viscous Flows, October 1998
(98-43)
Steven J. Ruuth, Barry Merriman, and Stanley Osher, Convolution Generated Motion as a Link Between Cellular Automata and Continuum Pattern Dynamics, September 1998
(98-42)
Jianhong Shen, A Cascade Algorithm for Solitary-Wave Solutions of the Benjamin Equation, September 1998
(98-41)
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes and Eitan Tadmor, Approximate Solutions of the Incompressible Euler Equations with No Concentrations, September 1998
(98-39)
C.R. Anderson, Creating Distributed Applications in Java Using the cam.netapp Package, September 1998
(98-38)
Chi-Tien Lin and Eitan Tadmor, High-Resolution Non-Oscillatory Central Schemes for Hamilton-Jacobi Equations, September 1998
(98-37)
Anne Gelb and Eitan Tadmor, Enhanced Spectral Viscosity Approximations for Conservation Laws, August 1998
(98-36)
Ronald P. Fedkiw, Tariq Aslam and Shaojie Xu, The Ghost Fluid Method for Deflagration and Detonation Discontinuities, August 1998
(98-35)
Tony Chan, Antonio Marquina and Pep Mulet, Second Order Differential Functionals in Total Variation-Based Image Restoration, August 1998
(98-34)
Bo Li and Mitchell Luskin, Theory and Computation for the Microstructure Near the Interface Between Twinned Layers and a Pure Variant of Martensite, August 1998
(98-32)
Mark Sussman and Shotaro Uto, A Computational Study of the Spreading of Oil Underneath a Sheet of Ice, July 1998
(98-31)
J. Ystrom and H.-O. Kreiss, A Numerical Study of the Solution to the 3D Incompressible Navier-Stokes Equation with Forcing Function, July 1998
(98-30)
Peter Valter Blomgren, Total Variation Methods for Restoration of Vector Valued Images, (Ph.D. thesis), June 1998
(98-29)
Wing Lok Wan, Scalable and Multilevel Iterative Methods, (Ph.D. thesis), June 1998
(98-28)
Tariq D. Aslam, A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws I: Scalar Equatons, June 1998
(98-27)
W.L. Wan, Interface Preserving Coarsening Multigrid for Elliptic Problems with Highly Discontinuous Coefficients, May 1998
(98-26)
Kaushik Bhattacharya, Bo Li, and Mitchell Luskin, Uniqueness and Stability of the Simply Laminated Microstructure for Martensitic Crystals that Undergo a Cubic to Orthorhombic Phase Transformation, May 1998
(98-22)
C.R. Vogel, T.F. Chan and R. Plemmons, Fast Algorithms for Phase-Diversity-Based Blind Deconvolution, April 1998
(98-21)
Chi-Tien Lin and Eitan Tadmor, $L^1$-Stability and Error Estimates for Approximate Hamilton-Jacobi Solutions, April 1998
(98-20)
Russel E. Caflisch, Mark Gyure, Barry Merriman, Stanley Osher, Christian Ratsch, Dimitri Vvedensky and Jenna Zinck, Island Dynamics and the Level Set Method for Epitaxial Growth, April 1998
(98-18)
Wei-Pai Tang and W.L. Wan, Sparse Approximate Inverse Smoother for Multi-Grid, March 1998
(98-17)
Ronald P. Fedkiw, Tariq Aslam, Barry Merriman and Stanley Osher, A Non-Oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (The Ghost Fluid Method), March 1998
(98-16)
Ronald P. Fedkiw, Barry Merriman and Stanley Osher, Simplified Discretization of Systems of Hyperbolic Conservation Laws Containing Advection Equations, March 1998 (revised March 1999 -- Note: New Title)
(98-15)
Zhen-Su She, Universal Laws of Cascade of Turbulent Fluctuations, March 1998
(98-14)
L. Cortelezzi, K.H. Lee, J. Kim, and J.L. Speyer, Progress in Boundary Layer Control: Robust Reduced-Order Control of Skin-Friction Drag, March 1998 (NOTE: this is a large color postscript file)
(98-13)
Mark Green and Stanley Osher, Steiner Polynomials, Wulff Flows, and Some New Isoperimetric Inequalities for Convex Plane Curves, March 1998
(98-12)
Tony F. Chan and H.M. Zhou Feature Preserving Lossy Image Compression Using Nonlinear PDE's, March 1998
(98-11)
Xu-Dong Liu, Ronald P. Fedkiw and Stanley Osher, A Quasi-Conservative Approach to the Multiphase Euler Equations without Spurious Pressure Oscillations, February 1998
(98-10)
Barry Merriman, Russel Caflisch and Stanley Osher, Level Set Methods, with an Application to Modeling the Growth of Thin Films, February 1998
(98-9)
C.R. Anderson, Y.-C. Chen and J.S. Gibson, Control and Identification of Vortex Wakes, February 1998
(98-8)
Tony F. Chan, Jinchao Xu and Ludmil Zikatanov, An Agglomeration Multigrid method for Unstructured Grids, February 1998
(98-7)
Hong-Kai Zhao, Stanley Osher, Barry Merriman and Myungjoo Kang, Implicit, Nonparametric Shape Reconstruction from Unorganized Points Using A Variational Level Set Method, February 1998 (revised February 1999)
(98-6)
W.L. Wan, Tony F. Chan and Barry Smith, An Energy-Minimizing Interpolation for Robust Multigrid Methods, February 1998
(98-5)
Ronald P. Fedkiw, Antonio Marquina and Barry Merriman, An Isobaric Fix for the Overheating Problem in Multimaterial Compressible Flows, February 1998
(98-4)
Steven J. Ruuth and Barry Merriman, Convolution Generated Motion and Generalized Huygens' Principles for Interface Motion, February 1998
(98-3)
Eitan Tadmor and Tao Tang, Pointwise Error Estimates for Scalar Conservation Laws with Piecewise Smooth Solutions, February 1998
(98-2)
Anne Gelb and Eitan Tadmor, Detection of Edges in Spectral Data, January 1998
(98-1)
Doron Levy and Eitan Tadmor, Non-Oscillatory Boundary Treatment for Staggered Central Schemes, January 1998
(97-61)
Gadi Fibich and George Papanicolaou, A Modulation Method for Self-Focusing in the Perturbed Critical Nonlinear Schrodinger Equation, December 1997
(97-59)
Victor Eijkhout, Residual Smoothing for Complex Symmetric Systems, December 1997
(97-58)
Tony Chan and Victor Eijkhout, Design of a Library of Parallel Preconditioners, December 1997
(97-57)
L. Cortelezzi and J.L. Speyer, Advance in Boundary Layer Control: Robust Reduced-Order Transition Controller, December 1997
(97-56)
Luminta Vese and Tony F. Chan, Reduced Non-Convex Functional Approximations for Image Restoration \& Segmentation, December 1997
(97-55)
Brian James Miller, Improvements in Computing Multiple Phase Flows (Ph.D. Thesis), December 1997
(97-54)
Gunilla Kreiss and Heinz-Otto Kreiss, Stability of Systems of Viscous Conservation Laws, December 1997
(97-53)
Tony F. Chan and Qiang Ye, A Mixed Product Krylov Subspace Method for Solving Nonsymmetric Linear Systems, November 1997
(97-52)
Peter Blomgren and Tony F. Chan, Modular Solvers for Constrained Image Restoration Problems, November 1997
(97-51)
Eitan Tadmor, Approximate Solutions of Nonlinear Conservation Laws, (Lecture Notes from CIME Course on ``Advanced Numerical Approximation of Nonlinear Hyperbolic Equations"), November 1997
(97-50)
Peter Blomgren, Tony F. Chan, Pep Mulet and C.K. Wong, Total Variation Image Restoration: Numerical Methods and Extensions, October 1997
(97-49)
Charles J. Alpert, Tony F. Chan, Dennis J.-H. Huang, Andrew B. Kahng, Igor L. Markov, Pep Mulet, and Kenneth Yan, Faster Minimization of Linear Wirelength for Global Placement, September 1997
(97-48)
C.J. Alpert, T. Chan, D.J.-H. Huang, I. Markov, and K. Yan, Quadratic Placement Revisited, September 1997
(97-47)
Tony Chan and Luminita Vese, Variational Image Restoration \& Segmentation Models and Approximations, September 1997
(97-46)
Tony F. Chan and Pep Mulet, On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration, September 1997
(97-45)
Bo Li and Mitchell Luskin, The Existence of Finite Element Minimizers, September 1997
(97-44)
Raymond H. Chan, Tony F. Chan, and Chiu-Kwong Wong, Cosine Transform Based Preconditioners of Total Variation Deblurring, September 1997
(97-43)
Heinz-Otto Kreiss and Shiu Hong Lui, Nonlinear Stability of Time Dependent Differential Equations, September 1997
(97-42)
Peter Blomgren, Tony F. Chan and Pep Mulet, Extensions to Total Variation Denoising, September 1997
(97-41)
Tony F. Chan and Qiang Ye, A Mixed Product Krylov Subspace Method for Solving Nonsymmetric Linear Systems, September 1997
(97-40)
R. Donat, J.A. Font, J.M. Ibanez and A. Marquina, A Flux-Split Algorithm Applied to Relativistic Flows, August 1997
(97-39)
Man-Chung Yeung, Probability and Symmetry in Computational Linear Algebra (Ph.D. Thesis), August 1997
(97-38)
David M. Strong, Adaptive Total Variation Minimizing Image Restoration (Ph.D. Thesis), August 1997
(97-36)
Tony F. Chan, Susie Go and Ludmil Zikatanov, Multilevel Elliptic Solvers on Unstructured Grids, August 1997
(97-35)
Tony F. Chan and Xue-Cheng Tai, Identification of Discontinuous Coefficients from Elliptic Problems Using Total Variation Regularization, August 1997
(97-34)
T. F. Chan, W. P. Tang, and W. L. Wan, Wavelet Sparse Approximate Inverse Preconditioners, August 1997
(97-33)
Steven J. Ruuth, Efficient Algorithms for Diffusion-Generated Motion by Mean Curvature, July 1997
(97-32)
David Strong, Peter Blomgren, and Tony F. Chan, Spatially Adaptive Local Feature-Driven Total Variation Minimizing Image Restoration, July 1997
(97-31)
Ilya A. Sharapov, Multilevel Subspace Correction for Large-Scale Optimization Problems (Ph.D. Thesis), July 1997
(97-30)
Stanley Osherand Barry Merriman, The Wulff Shape as the Asymptotic Limit of a growing Crystalline Interface, July 1997
(97-29)
Guang-Shan Jiang and Danping Peng, Weighted ENO Schemes for Hamilton-Jacobi Equations, June 1997
(97-28)
Steven J. Ruuth, A Diffusion-Generated Approach to Multiphase Motion, June 1997
(97-27)
Ronald P. Fedkiw, Xu-Dong Liu and Stanley Osher, A General Technique for Eliminating Spurious Oscillations in Conservative Schemes for Multiphase and Multispecies Euler Equations, June 1997
(97-26)
Xu-Dong Liu and Stanley Osher, Convex ENO High Order Multi-dimensional Schemes Without Field by Field Decomposition or Staggered Grids, June 1997
(97-25)
Christopher R. Anderson and Archie C. Li, Integral Equation Preconditioning for the Solution of Poisson's Equation on Geometrically Complex Regions, June 1997
(97-24)
Victor Eijkhout and Tony Chan, ParPre: A Parallel Preconditioners Package reference manual for version 2.0.17, June 1997
(97-23)
John P. Albert, Jerry L. Bona and Juan Mario Restrepo, Solitary-Wave Solutions of the Benjamin Equation, May 1997
(97-22)
Juan Mario Restrepo, Behavior of a Sand Ridge Model, May 1997
(97-21)
Gadi Fibich and George Papanicolaou, Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrodinger Equation in Critical Dimension, May 1997
(97-20)
Raymond H. Chan, Tony F. Chan and W.L. Wan, Multigrid for Differential-Convolution Problems Arising from Image Processing, May 1997
(97-19)
Tong Li, The Stability of a Transonic Profile Arising from Divergent Detonations, April 1997
(97-18)
W. L. Wan, An Energy-Minimizing Interpolation for Multigrid Methods, April 1997
(97-17)
Ronald P. Fedkiw, Barry Merriman and Stanley Osher, Efficient Characteristic Projection in Upwind Difference Schemes for Hyperbolic Systems, April 1997
(97-16)
G. Fibich and G.C. Papanicolaou, Self-focusing in the Presence of a Small Time Dispersion and Nonparaxiality, April 1997
(97-15)
Man-Chung Yeung and Tony F. Chan, ML(K)BICGSTAB A BICGSTAB Variant Based on Multiple Lanczos Starting Vectors, April 1997
(97-14)
Eitan Tadmor, Approximate Solutions of Nonlinear Conservation Laws and Related Equations, April 1997
(97-13)
Ulf Andersson, Bjorn Engquist, Gunnar Ledfelt and Olof Runborg, Wavelet-Based Subgrid Modeling: 1. Principles and Scalar Equations, March 1997
(97-12)
Ming Gu, On Primal-Dual Interior Point Methods for Semidefinite Programming, March 1997
(97-11)
Tony F. Chan, Susie Go and Ludmil Zikatanov, Lecture Notes on Multilevel Methods for Elliptic Problems on Unstructured Grids, March 1997
(97-10)
Uri M. Ascher, Steven Ruuth and Raymond J. Spiteri, Implicit-Explicit Runge-Kutta Methods for Time-Dependent Partial Differential Equations, March 1997
(97-9)
Bo Li and Mitchell Luskin, Approximation of a Laminate with Varying Volume Fractions, March 1997
(97-8)
Bo Li and Zhimin Zhang, Analysis of a Class of Superconvergence Patch Recovery Techniques for Linear and Bilinear Finite Elements, March 1997
(97-7)
G.-S. Jiang, D. Levy, C.-T. Lin, S. Osher and E. Tadmor, High-Resolution Non-Oscillatory Central Schemes with Non-Staggered Grids for Hyperbolic Conservation Laws, February 1997
(97-6)
William J. Morokoff, Generating Quasi-Random Paths for stochastic Processes, February 1997
(97-5)
James Demmel, Ming Gu, Stanley Eisenstat, Ivan Slapnicar, Kresimir Veselic and Zlatko Drmac, Computing the Singular Value Decomposition with High Relative Accuracy, February 1997
(97-4)
Zhen-Su She, Hierarchical Structures and Scalings in Turbulence, February 1997
(97-3)
Doron Levy and Eitan Tadmor, From Semi-Discrete to Fully-Discrete: Stability of Runge-Kutta Schemes by the Energy Method, January 1997
(97-2)
Tony F. Chan and Xue-Cheng Tai, Augmented Lagrangian and Total Variation Methods for Recovering Discontinuous Coefficients from Elliptic Equations, January 1997
(96-52)
Olof Runborg, Multiphase Computations in Geometrical Optics, December 1996
(96-51)
Raz Kupferman and Eitan Tadmor, A Fast High-Resolution Second-Order Central Scheme for Incompressible Flows, December 1996
(96-50)
Ming Gu, New Methods for Estimating the Distance to Uncontrollability, December 1996
(96-49)
Steven J. Ruuth, Efficient Algorithms for Diffusion-Generated Motion by Mean Curvature, (Ph.D. thesis), November 1996
(96-48)
D. Senouf, R.E. Caflisch and N. Ercolani, Complex Singularities for Burgers Equation with Complex Viscosity, November 1996
(96-47)
T.F. Chan, E. Chow, Y. Saad and M.C. Yeung, Preserving Symmetry in Preconditioned Krylov Subspace Methods, November 1996
(96-46)
David M. Strong and Tony F. Chan, Spatially and Scale Adaptive Total Variation Based Regularization and Anisotropic Diffusion in Image Processing, November 1996
(96-45)
Tony F. Chan and C.K. Wong, Total Variation Blind Deconvolution, November 1996
(96-44)
Victor Eijkhout, On Factorisations of the Hessenberg Matrices Arising from Polynomial Iterative Methods, October 1996
(96-43)
Tong Li, Asymptotic Stability of a Plane CJ Detonation Wave, October 1996
(96-42)
Xu-Dong Liu and Eitan Tadmor, Third Order Nonoscillatory Central Scheme for Hyperbolic Conservation Laws, October 1996
(96-41)
David Strong and Tony Chan, Exact Solutions to Total Variation Regularization Problems, October 1996
(96-40)
Heinz-Otto Kreiss, Omar E. Ortiz and Oscar A. Reula, Stability of Quasi-Linear Hyperbolic Dissipative Systems, October 1996
(96-39)
Hong-Kai Zhao, Barry Merriman, Stanley Osher, Lihe Wang, Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach, October 1996 (Note there are figures that will be put in the postscript file at a later date).
(96-38)
Tony F. Chan and Pep Mulet, Iterative Methods for Total Variation Image Restoration, October 1996
(96-37)
Doron Levy and Eitan Tadmor, Non-Oscillatory Central Schemes for the Incompressible 2-D Euler Equations, October 1996
(96-36)
Guang-Shan Jiang and Eitan Tadmor, Non-oscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws, October 1996
(96-35)
Tai-Ping Liu and Shih-Hsien Yu, Continuum Shock Profiles for Discrete Conservation Laws, September 1996
(96-34)
Tony F. Chan and Ilya Sharapov, Subspace Correction Multilevel Methods for Elliptic Eigenvalue Problems, September 1996
(96-33)
Tony F. Chan, W. P. Tang, and W. L. Wan, Wavelet Sparse Approximate Inverse Preconditioners, September 1996
(96-32)
Ronald P. Fedkiw, Barry Merriman, and Stanley Osher, Numerical Methods for a One-Dimensional Interface Separating Compressible and Incompressible Flows, September 1996
(96-31)
Tony F. Chan and Michael K. Ng, Galerkin Projection Methods for Solving Multiple Linear Systems, September 1996
(96-30)
Tony F. Chan, Susie Go and Jun Zou, Boundary Treatments for Multilevel Methods on Unstructured Meshes, September 1996
(96-29)
Panayot S. Vassilevski, On Some Applications of the $H^\sigma$-Stable Wavelet-Like Hierarchical Finite Element Space Decompositions, September 1996
(96-28)
Bjorn Engquist and Hong-Kai Zhao, Analysis of Generalized schwarz Alternating Procedure for Domain Decomposition, August 1996
(96-27)
Gadi Fibich, An Adiabatic Law for Self-Focusing of Optical Beams, August 1996
(96-26)
Francesc Arandiga, Rosa Donat and Ami Harten, Multiresolution Based on Weighted Averages of the Hat Function II: Non-Linear Reconstruction Techniques, August 1996
(96-25)
Francesc Arandiga, Rosa Donat and Ami Harten, Multiresolution Based on Weighted Averages of the Hat Function I: Linear Reconstruction Techniques, August 1996
(96-24)
Panayot S. Vassilevski and Junping Wang, Wavelet-Like Methods in the Design of Efficient Multilevel Preconditioners for Elliptic PDEs, August 1996
(96-21)
S. Chen, B. Merriman, S. Osher and P. Smereka, A Simple Level Set Method for Solving Stefan Problems, July 1996
(96-20)
An Jiang, Fast Wavelet Based Methods for Certain Time Dependent Problems (Ph.D. thesis), July 1996
(96-19)
Myungjoo Kang, A Level Set Approach for the Motion of Soap Bubbles with Curvature Dependent Velocity or Acceleration, (Ph.D. thesis), July 1996
(96-18)
Ronald P. Fedkiw, Barry Merriman, Rosa Donat, and Stanley Osher, The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina's Flux Splitting, July 1996
(96-15)
Guang-Shan Jiang and Shih-Hsien Yu, Discrete Shocks for Finite Difference Approximations to Scalar Conservation Laws, June 1996
(96-11)
Gadi Fibich, Small Beam Nonparaxiality Arrests Self-Focusing of Optical Beams, April 1996
(96-10)
Tong Li, Time-Asymptotic Limit of Solutions of a Combustion Problem, April 1996
(96-8)
A. Kurganov and E. Tadmor, Stiff Systems of Hyperbolic Conservation Laws. Convergence and Error Estimates, April 1996
(96-7)
David M. Strong and Tony F. Chan, Relation of Regularization Parameter and Scale in Total Variation Based Image Denoising, February 1996
(96-5)
Peter Blomgren and Tony Chan, Color TV: Total Variation Methods for Restoration of Vector Valued Images, February 1996
(96-4)
C. David Levermore and William J. Morokoff, The Gaussian Moment Closure for Gas Dynamics, February 1996
(96-3)
Mihai Dorobantu and Bjorn Engquist, Wavelet-Based Numerical Homogenization, February 1996
(96-2)
G. Fibich, Femtosecond Laser-Tissue Interactions, January 1996
(96-1)
Ronald P. Fedkiw, Barry Merriman, and Stanley Osher, Numerical Methods for a Mixture of Thermally Perfect and/or Calorically Perfect Gaseous Species with Chemical Reactions, January 1996
(95-48)
Panayot S. Vassilevski and Junping Wang, Stabilizing the Hierarchical Basis by Approximate Wavelets, II: Implementation and Numerical Results, December 1995
(95-47)
Panayot S. Vassilevski and Junping Wang, Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory, December 1995
(95-43)
Tony F. Chan, Gene H. Golub, and Pep Mulet, A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration, September 1995
(95-42)
Guang-Shan Jiang and Chi-Wang Shu, Efficient Implementation of Weighted ENO Schemes, September 1995
(95-40)
Zhilin Li, A Fast Iterative Algorithm for Elliptic Interface Problems, September 1995
(95-39)
Ivan D. Lirkov, Svetozar D. Margenov and Lyudmil T. Zikatanov, Circulant Block-Factorization Preconditioning of Anisotropic Elliptic Problems, August 1995
(95-38)
David Senouf, Russel Caflisch and Nicholas Ercolani, Pole Dynamics and Oscillations for Complex Burgers Equation in the Small Dispersion Limit, August 1995
(95-37)
G. Fibich, V.M. Malkin, and G.C. Papanicolaou, Beam Self-Focusing in the Presence of Small Normal Time Dispersion, August 1995
(95-36)
Hong-Kai Zhao, T. Chan, B. Merriman and S. Osher, A Variational Level set Approach to Multiphase Motion, July 1995
(95-35)
David Senouf, On the Zero-Viscosity Limit of Burgers' Equation from the Perspective of Complex Singularities, July 1995
(95-34)
G. Fibich, Time Dispersive Effects in Ultrashort Laser-Tissue Interactions, July 1995
(95-33)
David Senouf, On the Real Time Dynamics of Complex Singularities for Burgers' Equation, July 1995
(95-31)
N. Anders Petersson, A New Algorithm for Generating Overlapping Grids, June 1995
(95-29)
Man-Chung Yeung and Tony F. Chan, Probabilistic Analysis of Gaussian Elimination Without Pivoting, June 1995
(95-27)
Mark Sussman, Emad Fatemi, Peter Smereka and Stanley Osher, An Improved Level Set Method for Incompressible Two-Phase Flows, May 1995 (Revised August 1998)
(95-26)
Panayot S. Vassilevski and Junping Wang, Stabilizing the Hierarchical Basis by Approximate Wavelets, May 1995
(95-24)
Tony F. Chan, Susie Go, and Jun Zou, Multilevel Domain Decomposition and Multigrid Methods for Unstructured Meshes: Algorithms and Theory, May 1995
(95-23)
Raymond H. Chan, Tony F. Chan and Chiu-Kwong Wong, Cosine Transform Based Preconditioners for Total Variation Minimization Problems in Image Processing, April 1995
(95-22)
Russel E. Caflisch, Nicholas Ercolani and Gregory Steele, Geometry of Singularities for the Steady Boussinesq Equation, April 1995
(95-19)
Rosa Donat and Antonio Marquina, Capturing Shock Reflections: An Improved Flux Formulation, April 1995
(95-18)
Tony F. Chan, H.M. Zhou, and Raymond H. Chan, Continuation Method for Total Variation Denoising Problems, April 1995
(95-17)
J.K. Tegner, Properties of Detonation Waves, April 1995
(95-16)
Tony F. Chan and Jun Zou, A Convergence Theory of Multilevel Additive Schwarz Methods on Unstructured Meshes, March 1995
(95-15)
Stanley Osher Subscale in Computational Fluid Dynamics, March 1995
(95-13)
Russel E. Caflisch, Isaac Klapper, and Gregory Steele, Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD, March 1995
(95-12)
David Senouf, Asymptotic and Numerical Approximations of the Zeros of Fourier Integrals, March 1995
(95-11)
E. Fatemi, B. Engquist, and S. Osher, Finite Difference Methods for Geometrical Optics and Related Nonlinear PDEs Approximating the High Frequency Helmholtz Equation, March 1995
(95-5)
Tony F. Chan, John R. Gilbert, and Shang-Hua Teng, Geometric Spectral Partitioning, January 1995
(95-3)
Bjorn Engquist and Erding Luo, New Coarse Grid Operators for Highly Oscillatory Coefficient Elliptic Problems, January 1995
(95-2)
Zhilin Li, A Note on Immersed Interface Method for Three Dimensional Elliptic Equations, January 1995
(95-1)
Gui-Qiang Chen and Philippe G. LeFloch, Entropy Flux-Splittings for Hyperbolic Conservation Laws Part I: General Framework, January 1995
(94-44)
Tony F. Chan, Sheng Zhang and Jun Zou, Multilevel Additive Preconditioner for Elliptic Problems on Non-Nested Meshes, August 1994
(94-42)
Russel E. Caflisch, Thomas Y. Hou, and John Lowengrub, Almost Optimal Convergence of the Point Vortex Method for Vortex Sheets using Numerical Filtering, December 1994
(94-37)
P. Ciarlet, Jr. and F. Lamour, On the Validity of a Front-Oriented Approach to Partitioning Large Sparse Graphs with a Connectivity Constraint, December 1994
(94-36)
Eitan Tadmor and Tamir Tassa, On the Homogenization of Oscillatory Solutions to Nonlinear Convection-Diffusion Equations, November 1994
(94-28)
Henk A. van der Vorst and Tony F. Chan, Linear System Solvers: Sparse Iterative Methods, September 1994
(94-27)
Tony F. Chan and Henk A. van der Vorst, Approximate and Incomplete Factorizations, September 1994
(94-26)
Tony F. Chan and W. L. Wan, Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides, August 1994
(94-25)
Chris Anderson and Marie Dillon Dahleh, Rapid Computation of the Discrete Fourier Transform, August 1994
(94-23)
P. Ciarlet, Jr., F. Lamour, and B.F. Smith, On the Influence of the Partitioning Schemes on the Efficiency of Overlapping Domain Decomposition Methods, July 1994
(94-15)
Tony F. Chan and Jian Ping Shao, Parallel Complexity of Domain Decomposition Methods and Optimal Coarse Grid Size, June 1994
(94-8)
Tony F. Chan, Barry, Smith and Jun Zou, Overlapping Schwarz Methods on Unstructured Meshes Using Non-Matching Coarse Grids, March 1994
(94-5)
Mark Sussman, Peter Smereka, and Stanley Osher, A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow, February 1994
(94-2)
Tony F. Chan and Tarek P. Mathew, Domain Decomposition Algorithms, January 1994
(93-40)
Tony F. Chan and Jun Zou, Additive Schwarz Domain Decomposition Methods for Elliptic Problems on Unstructured Meshes, December 1993
(93-33)
P.L. Lions, B. Perthame, and E. Tadmor, Kinetic Formulation of the Isentropic Gas Dynamics and P-Systems, September 1993
(93-14)
Tony F. Chan, P. Ciarlet, Jr. and W.K. Szeto, On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method, June 1993 (Revised January 1994)
(92-33)
Pierre Mascarenhas, Diffusion Generated Motion by Mean Curvature, July 1992
(92-19)
Roland W. Freund and Tedd Szeto, A Quasi-Minimal Residual Squared Algorithm for Non-Hermitian Linear Systems, April 1992
(91-17)
Tony F. Chan, Lisette DePillis, and Henk Van Der Vorst, A Transpose-Free Squared Lanczos Algorithm and Applications to Solving Nonsymmetric Linear Systems, September 1991
(90-10)
Tony F. Chan, Hierarchical Algorithms and Architectures for Parallel Scientific Computing, April 1990
(89-24)
Ami Harten, From Artificial Viscosity to ENO Schemes, September 1989
(88-27)
Haim Nessyahu and Eitan Tadmor, Non-Oscillatory Central Differencing for Hyperbolic Conservation Laws, September 1988
(87-18)
Eitan Tadmor, The Convergence of Spectral Methods for Nonlinear Conservation Laws, August 1987
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