A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations

A Finite Element Approach for the Dual Rudin--Osher--Fatemi Model and Its Nonoverlapping Domain Decomposition Methods

(2019) Chang-Ock Lee et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Domain Decomposition Methods Using Dual Conversion for the Total Variation Minimization with L1 Fidelity Term

(2018) Chang-Ock Lee et al.   JOURNAL OF SCIENTIFIC COMPUTING

Discrete Total Variation with Finite Elements and Applications to Imaging

(2018) Marc Herrmann et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Primal Domain Decomposition Methods for the Total Variation Minimization, Based on Dual Decomposition

(2017) Chang-Ock Lee et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Convergent Non-overlapping Domain Decomposition Methods for Variational Image Segmentation

(2016) Yuping Duan et al.   JOURNAL OF SCIENTIFIC COMPUTING

An introduction to continuous optimization for imaging

(2016) Antonin Chambolle et al.   ACTA NUMERICA

Block Decomposition Methods for Total Variation by Primal–Dual Stitching

(2015) Chang-Ock Lee et al.   JOURNAL OF SCIENTIFIC COMPUTING

Convergence Rate of Overlapping Domain Decomposition Methods for the Rudin--Osher--Fatemi Model Based on a Dual Formulation

(2015) Huibin Chang et al.   SIAM Journal on Imaging Sciences

Non-Overlapping Domain Decomposition Methods For Dual Total Variation Based Image Denoising

(2014) Michael Hintermüller et al.   JOURNAL OF SCIENTIFIC COMPUTING

Subspace Correction Methods for a Class of Nonsmooth and Nonadditive Convex Variational Problems with Mixed $L^1/L^2$ Data-Fidelity in Image Processing

(2013) Michael Hintermüller et al.   SIAM Journal on Imaging Sciences

Total Variation Minimization with Finite Elements: Convergence and Iterative Solution

(2012) Sören Bartels   SIAM JOURNAL ON NUMERICAL ANALYSIS

An Upwind Finite-Difference Method for Total Variation–Based Image Smoothing

(2011) Antonin Chambolle et al.   SIAM Journal on Imaging Sciences

Error Bounds for Finite-Difference Methods for Rudin–Osher–Fatemi Image Smoothing

(2011) Jingyue Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging

(2010) Antonin Chambolle et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

A convergent overlapping domain decomposition method for total variation minimization

(2010) Massimo Fornasier et al.   NUMERISCHE MATHEMATIK

An Efficient Primal-Dual Method for $L^1$TV Image Restoration

(2009) Yiqiu Dong et al.   SIAM Journal on Imaging Sciences

Subspace Correction Methods for Total Variation and $\ell_1$-Minimization

(2009) Massimo Fornasier et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A New Alternating Minimization Algorithm for Total Variation Image Reconstruction

(2008) Yilun Wang et al.   SIAM Journal on Imaging Sciences