Some recent CAM (Computational and Applied Math) Reports    

Date

Area

CAM Reports Title

Link to pdf

07/08

Medical Imaging

(08-51) Tin Man Lee, Mathematical Models and Techniques for Medical Imaging, (Ph.D. thesis)

07/08

Segmentation

(08-47) Kangyu Ni, Xavier Bresson, Tony Chan and Selim Esedoglu, Local Histogram Based Segmentation Using the Wasserstein Distance

07/08

Geometry, Human Brain Mapping

(08-45) Lok Ming Lui, Computational Conformal Geometry and Its Applications to Human Brain Mapping (Ph.D. thesis)

07/08

Denoising

(08-44) Mingqiang Zhu, Fast Numerical Algorithms for Total Variation Based Image Restoration (Ph.D. thesis)

07/08

Denoising

(08-42) Jerome Darbon, A Simple Efficient Combinatorial Algorithm for Discrete Total Variation Minimization: ROF and the s,t-minimum-cut problem

06/08

Segmentation, inpainting

(08-39) Kang-Yu Ni, Variational PDE-Based Image Segmentation and Inpainting with Applications in Computer Graphics, (Ph.D. thesis)

05/08

Nonlocal deblurring

(08-35) Yifei Lou, Xiaoqun Zhang, Stanley Osher and Andrea Bertozzi, Image Recovery via Nonlocal Operators

05/08

Denoising

(08-34) Mingqiang Zhu and Tony Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Variation Image Restoration

05/08

Denoising

(08-33) Mingqiang Zhu, Stephen J. Wright and Tony F. Chan, Duality-Based Algorithms for Total Variation Image Restoration

05/08

Image registration

(08-30) Igor Yanovsky, Unbiased Nonlinear Image Registration, (Ph.D. Thesis)

04/08

Image registration

(08-27) Igor Yanovsky, Carole Le Guyader, Alex Leow, Paul Thompson and Luminita Vese, Unbiased Volumetric Registration via Nonlinear Elastic Regularization

03/08

Brain medical imaging

(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

01/08

Segmentation

(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

01/08

Segmentation

(08-02) Berta Sandberg, Sung Ha Kang, and Tony F. Chan, Unsupervised Feature Balancing Multi-phase Segmentation

01/08

Nonlocal denoising

(08-01) Jerome Darbon, Alexandre Cunha, Tony F. Chan, Stanley Osher and Grant J. Jensen, Fast Nonlocal Filtering Applied to Electron Cryomicroscopy

12/07

Matting

(07-54) Sheshadri R. Thiruvenkadam, Tony F. Chan and Byung-Woo Hong, Variational Approach to Natural Image Matting

11/07

Image registration

(07-49) Igor Yanovsky, Paul Thompson, Stanley Osher and Alex Leow, Asymmetric and Symmetric Unbiased Image Registration: Statistical Assessment of Performance

10/07

Optimization

(07-45) Jerome Darbon, Global Optimization for First Order Markov Random Fields with Submodular Priors

09/07

Denoising

(07-38) Loic Denis, Florence Tupin, Jerome Darbon and Marc Sigelle, SAR Image Regularization with Fast Approximate Discrete Minimization

09/07

Compessed Sensing

(07-37) Wotao Yin, Stanley Osher, Jerome Darbon and Donald Goldfarb, Bregman Iterative Algorithms for Compessed Sensing and Related Problems

09/07

Matting

(07-33) Kangyu Ni, Sheshadri Thiruvenkadam and Tony Chan, Matting Through Variational Inpainting

07/07

Geometry Denoising

(07-31) Matthew Elsey and Selim Esedoglu, Analogue of the Total Variation Denoising Model in the Context of Geometry Processing

07/07

Segmentation, occlusion

(07-30) Sheshadri R. Thiruvenkadam, Tony F. Chan and Byung-Woo Hong, Segmentation Under Occlusions Using Selective Shape Prior

07/07

Denoising

(07-25) X. Bresson and T.F. Chan, Fast Minimization of the Vectorial Total Variation Norm and Applications to Color Image Processing

07/07

Level set

(07-19) Selim Esedoglu and Peter Smereka, A Variational Formulation for a Level Set Representation of Multiphase Flow and Area Preserving Curvature Flow

04/07

Denoising

(07-09) Jianhong (Jackie) Shen and Sung Ha Kang, Quantum TV and Applications in Image Processing

04/07

Occlusion tracking

(07-08) James H. von Brecht, Sheshadri R. Thiruvenkadam and Tony Chan, Occlusion Tracking with Logic Models

03/07

Segmentation, registration

(07-05) Igor Yanovsky, Paul Thompson, Stanley Osher, Luminita Vese, and Alex Leow, Multiphase Segmentation of Deformation using Logarithmic Priors

02/07

Denoising, deblurring

(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

12/06

Image registration

(06-71) Igor Yanovsky, Paul Thompson, Stanley Osher and Alex Leow, Large Deformation Unbiased Diffeomorphic Nonlinear Image Registration: Theory and Implementation

11/06

Image registration

(06-64) Igor Yanovsky and Alex Leow, An Information Theory Approach to Nonlinear Image Registration

11/06

Segmentation

(06-60) Jerome Darbon, A Note on the Discrete Binary Mumford-Shah Model

10/06

Segmentation

(06-58) Tony Chan, Selim Esedoglu and Kangyu Ni, Histogram Based Segmentation Using Wasserstein Distances

10/06

Denoising

(06-57) Guy Gilboa, Jerome Darbon, Stanley Osher and Tony Chan, Nonlocal Convex Functionals for Image Regularization

09/06

Segmentation

(06-52) Tony Chan, Berta Sandberg and Mark Moelich, Some Recent Developments in Variational Image Segmentation

09/06

Nonlinear PDE

(06-49) Selim Esedoglu and John Greer, Upper Bounds on the Coarsening Rate of Discrete, Ill-Posed Nonlinear Diffusion Equations

06/06

Segmentation

(06-31) Yoon Mo Jung, Sung Ha Kang, and Jianhong Shen, Multiphase Image Segmentation via Modica-Mortola Phase Transition

05/06

Denoising

(06-28) Tony F. Chan and Ke Chen, An Optimization-based Multilevel Algorithm for Total Variation Image Denoising

05/06

Inpainting

(06-25) A. L. Bertozzi, S. Esedoglu, and A. Gillette, Analysis of a Two-Scale Cahn-Hilliard Model for Image Inpainting

05/06

Geometric Motions

(06-23) Selim Esedoglu, Steven J. Ruuth and Richard Tsai, Threshold Dynamics for High Order Geometric Motions

03/06

Human Vision System

(06-09) Jianhong (Jackie) Shen, Least-Square Halftoning via Human Vision System and Markov Gradient Descent (LS-MGD): Algorithm and Analysis

02/06

Image reconstruction

(06-08) Tony F. Chan, Michael K. Ng, Andy C. Yau and Andy M. Yip, Superresolution Image Reconstruction Using Fast Inpainting Algorithms

12/05

Denoising

(05-68) Tony F. Chan and Ke Chen, On a Nonlinear Multigrid Algorithm with Primal Relaxation for the Image Total Variation Minimisation

09/05

Segmentation

(05-54) Jianhong (Jackie) Shen, A Stochastic-Variational Model for Soft Mumford-Shah Segmentation

07/05

Segmentation

(05-43) Jianhong (Jackie) Shen, Piecewise $H^-1 + H^0 + H^1$ Images and the Mumford-Shah-Sobolev Model for Segmented Image Decomposition

04/05

Denoising, texture separation

(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

04/05

Circuit Placement

(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

04/05

Shape Reconstruction and Disocclusion

(05-22) Selim Esedoglu, Steven Ruuth and Richard Tsai, Threshold Dynamics for Shape Reconstruction and Disocclusion

03/05

Image Decomposition

(05-18) Tony F. Chan, Selim Esedoglu and Frederick E. Park, Image Decomposition Combining Staircase Reduction and Texture Extraction

03/05

Segmentation

(05-16) Jianhong (Jackie) Shen, Gamma-Convergence Approximation to Piecewise Constant Mumford-Shah Segmentation

03/05

Dejittering

(05-11) Sung Ha Kang and Jianhong (Jackie) Shen, On the Slicing Moments of BV Functions and Applications to Image Dejittering

02/05

Image decomposition, parameter selection

(05-10)  Jean-Francois Aujol, Guy Gilboa, Tony Chan, and Stanley Osher, Structure-Texture Image Decomposition - Modeling, Algorithms, and Parameter Selection

01/05

Image segmentation

(05-04)  X. Bresson, S. Esedoglu, P. Vandergheynst, J.P. Thiran and S. Osher, Global Minimizers of the Active Contour/Snake Model

01/05

Scale recognition, regularization and regularization

(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

01/05

Image restoration

(05-01) T. Chan, S. Esedoglu, F. Park and A. Yip, Recent Developments in Total Variation Image Restoration

12/04

Color image decomposition and restoration

(04-73) Jean-Francois Aujol and Sung Ha Kang, Color Image Decomposition and Restoration

12/04

Inpainting

(04-72) Tony F. Chan and Sung Ha Kang, Error Analysis for Image Inpainting

11/04

Regularization

(04-66) Jean-Francois Aujol and Guy Gilboa, Implementation and Parameter Selection for BV-Hilbert Space Regularizations

11/04

Image classification

(04-65) Jean-Francois Aujol and Tony F. Chan, Combining Geometrical and Textured Information to Perform Image Classification

10/04

Functional analysis

(04-63) Selim Esedoglu and Yen-Hsi Richard Tsai , Threshold Dynamics for the Piecewise Constant Mumford-Shah Functional

09/04

Dejittering

(04-60) Sung Ha Kang and Jianhong Shen , Video Dejittering by Bake and Shake

09/04

Gene expression

(04-58) Andy M. Yip, Edmond H. Wu, Michael K. Ng and Tony F. Chan, Finding Dense Regions in Gene Expression Data

09/04

Segmentation, denoising

(04-54) Tony F. Chan, Selim Esedoglu and Mila Nikolova, Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models

08/04

Segmentation, level set

(04-49) Wei Zhu, Tony Chan and Selim Esedoglu, Segmentation with Depth: A Level Set Approach

07/04

Inpainting

(04-47) Tony F. Chan, Jianhong Shen and Hao-Min Zhou, Total Variation Wavelet Inpainting

07/04

Inpainting, blind deconvolution

(04-45) Tony F. Chan, Andy M. Yip, and Frederick E. Park, Simultaneous Total Variation Image Inpainting and Blind Deconvolution

06/04

Optimization in VLSI

(04-43) Tony F. Chan, Jason Cong, Joseph R. Shinnerl, Kenton Sze, Min Xie and Yan Zhang, Multiscale Optimization in VLSI Physical Design Automation

06/04

Circuit placement

(04-42) Tony F. Chan, Jason Cong, Tim (Tianming) Kong and Joseph R. Shinnerl, Multilevel Circuit Placement

06/04

Circuit placement

(04-40) Tony F. Chan, Jason Cong, Tim Kong, Joseph R. Shinnerl, and Kenton Sze, An Enhanced Multilevel Algorithm for Circuit Placement, June 2004

04/04

Data mining

(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

04/04

DNA microarray

(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

04/04

Data mining

(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

04/04

Vision modeling

(04-22) Jianhong Shen, On the Foundations of Vision Modeling V. Noncommutative Monoids of Occlusive Preimages

03/04

Brain mapping

(04-18) Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau, Volumetric Harmonic Brain Mapping

03/04

Brain mapping

(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

03/04

Denoising

(04-15) Tony F. Chan and Frederick Park, Data Dependent Multiscale Total Variation Based Image Decomposition and Contrast Preserving Denoising

02/04

Function approximation

(04-07) Tony F. Chan and Selim Esedoglu, Aspects of Total Variation Regularized $L^1$ Function Approximation

12/03

Segmentation

(03-77) Tony F. Chan and Selim Esedoglu, A Multiscale Algorithm for Mumford-Shah Image Segmentation

12/03

Data mining

(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

12/03

Vision modeling

(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

11/03

Blind deconvolution

(03-70) Selim Esedoglu, Blind Deconvolution of Bar Code Signals

11/03

Multiple level set

(03-68) Xue-Cheng Tai and Tony F. Chan, Multiple Level Set Methods and Some Applications for Identifying Piecewise Constant Functions

11/03

Segmentation

(03-66) Tony Chan and Wei Zhu, Level Set Based Shape Prior Segmentation

11/03

Contours

(03-65) Wei Zhu and Tony Chan, Capture Illusory Contours: A Level Set Based Approach

11/03

Tomography

(03-64) Eric T. Chung, Tony F. Chan and Xue-Cheng Tai, Electrical Impedance Tomography Using Level Set Representation and Total Variational Regularization

10/03

Denoising

(03-59) Andy M. Yip and Frederick Park, Solution Dynamics, Causality, and Critical Behavior of the Regularization Parameter in Total Variation Denoising Problems

09/03

Clustering

(03-48) Andy M. Yip, Chris Ding and Tony F. Chan, Dynamic Cluster Formation Using Level Set Methods

08/03

Inpainting

(03-40) Laurent Demanet, Bing Song and Tony Chan, Image Inpainting by Correspondence Maps: a Deterministic Approach

08/03

Clustering

(03-37) Andy M. Yip, Tony F. Chan and Tarek P. Mathew, A Scale Dependent Model for Clustering by Optimization of Homogeneity and Separation

 
 

 

 
Some older reports from IMAGERS before 2003
 
If you have any questions and comments, please email to: imagers@math.ucla.edu