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SIAMSC
2010

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Solving Constrained Total-variation Image Restoration and Reconstruction Problems via Alternating Direction Methods

1 years 3 months ago

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In this paper, we study alternating direction methods for solving constrained total-variation image restoration and reconstruction problems. Alternating direction methods can be im...

Michael K. Ng, Pierre Weiss, Xiaoming Yuan

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Id	Views	Title	Status
1	70	Solving Constrained Total-variation Image Restoration and Reconstruction Problems via Alternating Direction Methods	claim
2	60	A Fast Algorithm for Sparse Reconstruction Based on Shrinkage, Subspace Optimization, and Continuation	claim
3	53	Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization	claim
4	52	Analysis of Block Parareal Preconditioners for Parabolic Optimal Control Problems	claim
5	51	A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation	claim
6	51	Optimal Solvers for PDE-Constrained Optimization	claim
7	51	Computing Expectation Values for Molecular Quantum Dynamics	claim
8	51	On Two-Dimensional Sparse Matrix Partitioning: Models, Methods, and a Recipe	claim
9	51	A Krylov Method for the Delay Eigenvalue Problem	claim
10	50	Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows	claim
11	50	Recursively Accelerated Multilevel Aggregation for Markov Chains	claim
12	49	An Adaptive Wavelet Method for the Chemical Master Equation	claim
13	49	A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images	claim
14	49	Moving Least Squares via Orthogonal Polynomials	claim
15	49	An Inner-Outer Iteration for Computing PageRank	claim
16	48	Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation	claim
17	47	Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors	claim
18	46	Adaptive Time-Stepping for Incompressible Flow Part II: Navier--Stokes Equations	claim
19	46	Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics	claim
20	46	Asymptotic Imaging of Perfectly Conducting Cracks	claim
21	46	Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction	claim
22	46	Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems	claim
23	45	Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations	claim
24	45	Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics	claim
25	45	An Interior-Point Algorithm for Large-Scale Nonlinear Optimization with Inexact Step Computations	claim
26	44	Parallel High-Order Integrators	claim
27	44	Algebraic Multigrid for Markov Chains	claim
28	44	Surface Reconstruction and Image Enhancement via L1-Minimization	claim
29	44	Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems	claim
30	44	Optimal Explicit Strong-Stability-Preserving General Linear Methods	claim
31	43	An Iterative Method for Edge-Preserving MAP Estimation When Data-Noise Is Poisson	claim
32	43	An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons	claim
33	42	A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere	claim
34	42	First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics	claim
35	41	Finite-Element Preconditioning of G-NI Spectral Methods	claim
36	41	Extrapolated Implicit-Explicit Time Stepping	claim
37	41	New Algorithms for Optimal Online Checkpointing	claim
38	41	An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations	claim
39	40	High Order Numerical Methods to Three Dimensional Delta Function Integrals in Level Set Methods	claim
40	40	Coupling Algorithms for Calculating Sensitivities of Smoluchowski's Coagulation Equation	claim
41	40	A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures	claim
42	40	Some Improvements for the Fast Sweeping Method	claim
43	39	An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings	claim
44	39	A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers	claim
45	39	Optimized Schwarz Waveform Relaxation for the Primitive Equations of the Ocean	claim
46	38	Simultaneously Sparse Solutions to Linear Inverse Problems with Multiple System Matrices and a Single Observation Vector	claim
47	38	Quasi-Monte Carlo Method for Infinitely Divisible Random Vectors via Series Representations	claim
48	37	Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential	claim
49	37	Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies	claim
50	37	Weighted Matrix Ordering and Parallel Banded Preconditioners for Iterative Linear System Solvers	claim
51	37	Least-Squares Finite Element Methods for Quantum Electrodynamics	claim
52	36	Operator-Based Preconditioning of Stiff Hyperbolic Systems	claim
53	36	Blendenpik: Supercharging LAPACK's Least-Squares Solver	claim
54	36	A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery	claim
55	36	The Fast Generalized Gauss Transform	claim
56	36	Tackling Box-Constrained Optimization via a New Projected Quasi-Newton Approach	claim
57	35	A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes	claim
58	35	Accuracy Measures and Fourier Analysis for the Full Multigrid Algorithm	claim
59	34	An Entropy Adjoint Approach to Mesh Refinement	claim
60	34	Smoothed Aggregation Multigrid for Markov Chains	claim
61	34	Communication-optimal Parallel and Sequential Cholesky Decomposition	claim
62	33	Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach	claim
63	33	A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach	claim
64	33	A New Sobolev Gradient Method for Direct Minimization of the Gross--Pitaevskii Energy with Rotation	claim
65	32	BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions	claim
66	29	Interpreting IDR as a Petrov--Galerkin Method	claim
67	29	A Fast Time Stepping Method for Evaluating Fractional Integrals	claim
68	28	Semi-Implicit Formulations of the Navier--Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling	claim
69	26	Finite Element Approach to Clustering of Multidimensional Time Series	claim

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