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List of works by Tony F. Chan

A Comparison of Elliptic Solvers for General Two-Dimensional Regions

A Domain-Decomposed Fast Poisson Solver on a Rectangle

A Framework for Block ILU Factorizations Using Block-Size Reduction

scholarly article by Tony F. Chan & Panayot S. Vassilevski published January 1995 in Mathematics of Computation

A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science

scholarly article by Ernie Esser et al published January 2010 in SIAM journal on imaging sciences

A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems

A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model

scientific article

A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration

article

A Novel Sparsity Reconstruction Method from Poisson Data for 3D Bioluminescence Tomography

A Phase Error Analysis of Multigrid Methods for Hyperbolic Equations

A Ridge and Corner Preserving Model for Surface Restoration

A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures

article by Alexandre Borghi et al published 7 June 2012 in Journal of Signal Processing Systems

A Variational Model for Capturing Illusory Contours Using Curvature

article

A composite step bi-conjugate gradient algorithm for nonsymmetric linear systems

article by Randolph E. Bank & Tony F. Chan published March 1994 in Numerical Algorithms

A composite step conjugate gradients squared algorithm for solving nonsymmetric linear systems

article by Tony F. Chan & Tedd Szeto published March 1994 in Numerical Algorithms

A convergence theory of multilevel additive Schwarz methods on unstructured meshes

A fourth order dual method for staircase reduction in texture extraction and image restoration problems

scholarly article published September 2010

A framework for intrinsic image processing on surfaces

A logic framework for active contours on multi-channel images

A multiphase logic framework for multichannel image segmentation

A note on the Bregmanized Total Variation and dual forms

A stable explicit scheme for the ocean acoustic wave equation

A texture synthesis approach to elastica inpainting

A total variation wavelet inpainting model with multilevel fitting parameters

Active Contours Based on Chambolle's Mean Curvature Motion

Active Contours without Edges for Vector-Valued Images

Active contours without edges

scientific article published in January 2001

Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes

Adequate reconstruction of transparent objects on a shoestring budget

Algorithms for Computing the Sample Variance: Analysis and Recommendations

article

Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models

article

Alternating-Direction Incomplete Factorizations

An Approximate Newton Method for Coupled Nonlinear Systems

An Improved Algorithm for Computing the Singular Value Decomposition

An Optimization‐Based Multilevel Algorithm for Total Variation Image Denoising

article by Tony F. Chan & Ke Chen published January 2006 in SIAM: Multiscale Modeling and Simulation

An analysis of the composite step biconjugate gradient method

scholarly article by Randolph E. Bank & Tony F. Chan published December 1993 in Numerische Mathematik

Analysis of Preconditioners for Domain Decomposition

article published in 1987

Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides

Aspects of Total Variation RegularizedL1Function Approximation

article by Tony F. Chan & Selim Esedoglu published January 2005 in SIAM Journal on Applied Mathematics

Augmented Lagrangian method for a mean curvature based image denoising model

article

BRAIN SURFACE CONFORMAL PARAMETERIZATION WITH THE RICCI FLOW

Boundary Treatments for Multilevel Methods on Unstructured Meshes

Brain surface conformal parameterization using Riemann surface structure

scientific article

Brain surface conformal parameterization with the Ricci flow

scientific article published on 15 September 2011

Brain surface conformal parameterization with the slit mapping

Circulant preconditioners for Toeplitz-block matrices

Color Image Restoration Using Nonlocal Mumford-Shah Regularizers

article by Miyoun Jung et al published 2009 in Lecture Notes in Computer Science

Color TV: total variation methods for restoration of vector-valued images

scientific article published in January 1998

Combined Geometric-Texture Image Classification

Combining geometrical and textured information to perform image classification

Completely Convex Formulation of the Chan-Vese Image Segmentation Model

article

Composite Step Product Methods for Solving Nonsymmetric Linear Systems

article by Tony F. Chan & Tedd Szeto published November 1996 in SIAM Journal on Scientific and Statistical Computing

Compression of surface registrations using Beltrami coefficients

Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations

article by Tony F. Chan & Per Christian Hansen published May 1990 in SIAM Journal on Scientific and Statistical Computing

Computing quasiconformal maps using an auxiliary metric and discrete curvature flow

Conformal Slit Mapping and Its Applications to Brain Surface Parameterization

article

Continuation method for total variation denoising problems

Convergence of the alternating minimization algorithm for blind deconvolution

Corrigendum: Algorithm 729; FORTRAN subroutines for general Toeplitz systems

scholarly article published in ACM Transactions on Mathematical Software

Cosine transform preconditioners for high resolution image reconstruction

article

Cyber-Enabled Scientific Discovery

Deflated Decomposition of Solutions of Nearly Singular Systems

Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems

scholarly article by Tony F. Chan published March 1984 in SIAM Journal on Scientific and Statistical Computing

Design of a Library of Parallel Preconditioners

Detection of shape deformities using Yamabe flow and Beltrami coefficients

Difference schemes for the parabolic wave equation in ocean acoustics

scholarly article by Tony F. Chan et al published July 1985 in Computers and Mathematics with Applications

Domain Decomposition Algorithms and Computational Fluid Dynamics

article

Domain decomposition interface preconditioners for fourth-order elliptic problems

article by Tony F. Chan et al published November 1991 in Applied Numerical Mathematics

DressUp!

November 2012 scholarly article in ACM Transactions on Graphics

Duality-based algorithms for total-variation-regularized image restoration

scholarly article by Mingqiang Zhu et al published 6 December 2008 in Computational Optimization and Applications

Dynamic cluster formation using level set methods

scientific article published in June 2006

ENO-Wavelet Transforms for Piecewise Smooth Functions

Edge-preserving and scale-dependent properties of total variation regularization

article

Effectively Well-Conditioned Linear Systems

article published in 1988

Efficient Variants of the Vertex Space Domain Decomposition Algorithm

Electrical impedance tomography using level set representation and total variational regularization

Eno-Wavelet Transforms and Some Applications

Erratum to: A Novel Sparsity Reconstruction Method from Poisson Data for 3D Bioluminescence Tomography

scholarly article published in Journal of Scientific Computing

Erratum to: Optimization of Surface Registrations Using Beltrami Holomorphic Flow

scholarly article published in Journal of Scientific Computing

Error Analysis for Image Inpainting

Euler's Elastica and Curvature-Based Inpainting

Extensions to total variation denoising

FORTRAN subroutines for general Toeplitz systems

Fast algorithms for phase-diversity-based blind deconvolution

scholarly article published 11 September 1998

Fast dual minimization of the vectorial total variation norm and applications to color image processing

article by Xavier Bresson & Tony F. Chan published November 2008 in Inverse Problems and Imaging

Fast nonlocal filtering applied to electron cryomicroscopy

Feature-preserving lossy image compression using nonlinear PDEs

Four color theorem and convex relaxation for image segmentation with any number of regions

article by Ruiliang Zhang et al published September 2013 in Inverse Problems and Imaging

Fourier Analysis of Incomplete Factorization Preconditioners for Three-Dimensional Anisotropic Problems

Fourier Analysis of Iterative Methods for Elliptic pr

Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation

Galerkin Projection Methods for Solving Multiple Linear Systems

Generalized Deflated Block-Elimination

Genus zero surface conformal mapping and its application to brain surface mapping

scientific article published in August 2004

Geometry Related Convergence Results for Domain Decomposition Algorithms

scholarly article by Tony F. Chan et al published April 1991 in SIAM Journal on Numerical Analysis

High-Order Total Variation-Based Image Restoration

article by Tony F. Chan et al published January 2000 in SIAM Journal on Scientific and Statistical Computing

Hippocampal surface discrimination via invariant descriptors of spherical conformals maps

Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization

Image Denoising Using Mean Curvature of Image Surface

article

Image Segmentation Using Euler’s Elastica as the Regularization

Image decomposition combining staircase reduction and texture extraction

Independent component analysis-based classification of Alzheimer's disease MRI data

scientific article

Intrinsic Feature Extraction on Hippocampal Surfaces and Its Applications

Intrinsic brain surface conformal mapping using a variational method

Iterative Methods for Solving Bordered Systems with Applications to Continuation Methods

LAPLACE-BELTRAMI NODAL COUNTS: A NEW SIGNATURE FOR 3D SHAPE ANALYSIS

scientific article

Landmark constrained genus zero surface conformal mapping and its application to brain mapping research

article by Lok Ming Lui et al published May 2007 in Applied Numerical Mathematics

Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients

Level set method for positron emission tomography

scientific article published on January 2007

Local Histogram Based Segmentation Using the Wasserstein Distance

ML(k)BiCGSTAB: A BiCGSTAB Variant Based on Multiple Lanczos Starting Vectors

Make it home

Mathematical Models for Local Nontexture Inpaintings

article

Metric-induced optimal embedding for intrinsic 3D shape analysis

Modular solvers for image restoration problems using the discrepancy principle

scholarly article by Peter Blomgren & Tony F. Chan published 2002 in Numerical Linear Algebra with Applications

Multi-class Transductive Learning Based on ℓ 1 Relaxations of Cheeger Cut and Mumford-Shah-Potts Model

Multichannel image deconvolution by total variation regularization

Multilevel Filtering Elliptic Preconditioners

Multilevel Filtering Preconditioners: Extensions to More General Elliptic Problems

Multivariate Tensor-Based Brain Anatomical Surface Morphometry via Holomorphic One-Forms

scientific article published on 01 January 2009

Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular changes in HIV/AIDS

article

Multivariate tensor-based morphometry on surfaces: application to mapping ventricular abnormalities in HIV/AIDS.

scientific article published on 6 November 2009

Newton-Like Pseudo-Arclength Methods for Computing Simple Turning Points

Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms

scholarly article by Tony F. Chan & Kenneth R. Jackson published September 1984 in SIAM Journal on Scientific and Statistical Computing

Nonlocal Mumford-Shah regularizers for color image restoration

scientific article

Normal Estimation of a Transparent Object Using a Video

On Two Variants of an Algebraic Wavelet Preconditioner

scholarly article by Tony F. Chan & Ke Chen published January 2002 in SIAM Journal on Scientific and Statistical Computing

On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation

article published in 2006

On the Convergence of the Lagged Diffusivity Fixed Point Method in Total Variation Image Restoration

article

On the Existence and Computation of LU-Factorizations with Small Pivots

On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method

On the Relationship between Overlapping and Nonoverlapping Domain Decomposition Methods

On the condition of nearly singular matrices under rank-1 perturbations

article published in 1986

Optimization of Surface Registrations Using Beltrami Holomorphic Flow

Optimized Conformal Parameterization of Cortical Surfaces Using Shape Based Matching of Landmark Curves

article by Lok Ming Lui et al published 2008 in Lecture Notes in Computer Science

Optimized Conformal Surface Registration with Shape-based Landmark Matching

Overlapping Schwarz methods on unstructured meshes using non-matching coarse grids

PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems

Parallel Networks for Multi-Grid Algorithms: Architecture and Complexity

article

Parallel complexity of domain decomposition methods and optimal coarse grid size

Parallel elliptic preconditioners: Fourier analysis and performance on the connection machine

article published in 1989

Parallelizable inpainting and refinement of diffeomorphisms using Beltrami holomorphic flow

Performance Modeling for High-Order Finite Difference Methods On the Connection Machine Cm-2

Performance of Block-ILU Factorization Preconditioners Based on Block-Size Reduction for 2D Elasticity Systems

Preconditioned iterative methods for high-resolution image reconstruction with multisensors

Preface

Probabilistic Analysis of Gaussian Elimination Without Pivoting

Rank revealing QR factorizations

Robust multigrid methods for nonsmooth coefficient elliptic linear systems

Scale Recognition, Regularization Parameter Selection, and Meyer's G Norm in Total Variation Regularization

Schur complement domain decomposition algorithms for spectral methods

scholarly article by Tony F. Chan & Danny Goovaerts published December 1989 in Applied Numerical Mathematics

Segmentation and Tracking of 3D Neuron Microscopy Images using a PDE Based Method and Connected Component Labeling algorithm

Segmentation under Occlusions Using Selective Shape Prior

Segmentation with Depth: A Level Set Approach

Semi-supervised Segmentation Based on Non-local Continuous Min-Cut

Shape analysis with multivariate tensor-based morphometry and holomorphic differentials

Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow

scientific article published on 01 January 2010

Simultaneous total variation image inpainting and blind deconvolution

article

Solving PDEs on Manifolds with Global Conformal Parametriazation

Solving quadratically constrained least squares using black box solvers

article by Tony F. Chan et al published September 1992 in BIT Numerical Mathematics

Some Applications of the Rank Revealing QR Factorization

Source reconstruction for spectrally-resolved bioluminescence tomography with sparse a priori information

scientific article published on May 2009

Spatially adaptive local-feature-driven total variation minimizing image restoration

article

Stability Analysis of Difference Schemes for Variable Coefficient Schrödinger Type Equations

Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation

Stable Explicit Schemes for Equations of the Schrödinger Type

article published in 1986

Strategies for identifying statistically significant dense regions in microarray data

scientific article

Structure-Texture Image Decomposition—Modeling, Algorithms, and Parameter Selection

article

Studying brain morphometry using conformal equivalence class

Subspace correction multi-level methods for elliptic eigenvalue problems

scholarly article by Tony F. Chan & Ilya Sharapov published 2001 in Numerical Linear Algebra with Applications

Superresolution image reconstruction using fast inpainting algorithms

Teichmüller Shape Space Theory and Its Application to Brain Morphometry

scientific article published on 01 January 2009

The Use of Iterative Linear-Equation Solvers in Codes for Large Systems of Stiff IVPs for ODEs

article published in 1986

The digital TV filter and nonlinear denoising

scientific article

The scale of a texture and its application to segmentation

Total Variation Wavelet Inpainting

article by Tony F. Chan et al published 28 June 2006 in Journal of Mathematical Imaging and Vision

Total Variation Wavelet Thresholding

Total variation blind deconvolution.

scientific article

Total variation regularization of matrix-valued images

scientific article published on January 2007

Two-Color Fourier Analysis of Iterative Algorithms for Elliptic Problems with Red/Black Ordering

scholarly article by C.-C. Jay Kuo & Tony F. Chan published July 1990 in SIAM Journal on Scientific and Statistical Computing

Unsupervised multiphase segmentation: A recursive approach

article published in 2009

Unsupervised multiphase segmentation: a phase balancing model

scientific article published in January 2010

Variational image inpainting

scholarly article by Tony F. Chan & Jianhong (Jackie) Shen published 2005 in Communications on Pure and Applied Mathematics

Wavelet Algorithms for High-Resolution Image Reconstruction

scholarly article by Raymond H. Chan et al published January 2003 in SIAM Journal on Scientific and Statistical Computing

Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction

Wavelet inpainting by nonlocal total variation

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