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(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
(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 and Stefano Soatto, Nonlocal Similarity Image Filtering, April 2008
(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
(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 Feature Balancing Multi-phase Segmentation, January 2008
(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
(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
(05-12)
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 Eq