A convergent overlapping domain decomposition method for total variation minimization

M Fornasier, A Langer, CB Schönlieb - Numerische Mathematik, 2010 - Springer
domain decomposition methods for the minimization of functionals formed by a discrepancy
term with respect to the data and a total variation … problem of total variation minimization. We …

Recent advances in domain decomposition methods for total variation minimization

CO Lee, J Park - Journal of the Korean Society for Industrial and Applied …, 2020 - dbpia.co.kr
… In Section 2, we review how the total variation minimization … on Schwarz methods for primal
total variation minimization are … DDMs for dual total variation minimization, is introduced in …

Domain decomposition methods with graph cuts algorithms for total variation minimization

Y Duan, XC Tai - Advances in Computational Mathematics, 2012 - Springer
… We build an overlapping domain decomposition algorithm based on the SSC approach to
solve the total variation minimization (20) … As was done in [40], we partition the image domain

Overlapping domain decomposition methods for total variation denoising

A Langer, F Gaspoz - SIAM Journal on Numerical Analysis, 2019 - SIAM
… into overlapping domains yielding subdomain problems in the respective dual … total variation
minimization problem. The convergence of the proposed domain decomposition methods to …

Domain decomposition methods for nonlocal total variation image restoration

H Chang, X Zhang, XC Tai, D Yang - Journal of Scientific Computing, 2014 - Springer
… In this paper, we apply domain decomposition methods (DDMs) (Xu et al. in Inverse
Probl Imag 4(3):523–545, 2010) to the nonlocal TV image restoration. By DDMs, the original …

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

CO Lee, C Nam, J Park - Journal of Scientific Computing, 2019 - Springer
domain decomposition methods as parallel solvers for solving total variation minimization
… We propose our domain decomposition algorithms solving image denoising, inpainting, and …

Domain decomposition for integer optimal control with total variation regularization

R Baraldi, P Manns - arXiv preprint arXiv:2410.15672, 2024 - arxiv.org
Total variation integer optimal control problems admit solutions and necessary optimality …
We first introduce important notation in Section 2, and then the domain decomposition and …

Image Decomposition and Restoration Using Total Variation Minimization and the H1

S Osher, A Solé, L Vese - Multiscale Modeling & Simulation, 2003 - SIAM
total variation minimization, in a wavelet framework, are by Malgouyres [13], [14]. Also, texture
modeling by statistical methods … , alternative methods, and image decomposition methods

Domain decomposition methods for total variation minimization

H Chang, XC Tai, D Yang - … Minimization Methods in Computer Vision and …, 2015 - Springer
… In this paper, overlapping domain decomposition methods (DDMs) are used for solving the
… for subspace correction methods. We propose a stable unit decomposition, which allows us …

Structure adaptive total variation minimization-based image decomposition

J Song, H Cho, J Yoon, SM Yoon - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
decomposition that adopts total variation (TV) minimization to the moving least squares (MLS)
method … , called structure adaptive total variation (SATV) minimization. MLS with nonlocal …