Fair Primal Dual Splitting Method for Image Inverse Problems

Fuente: arXiv
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Autori principali: Qu, Yunfei, Han, Deren
Natura: Preprint
Pubblicazione: 2024
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author Qu, Yunfei
Han, Deren
author_facet Qu, Yunfei
Han, Deren
contents Image inverse problems have numerous applications, including image processing, super-resolution, and computer vision, which are important areas in image science. These application models can be seen as a three-function composite optimization problem solvable by a variety of primal dual-type methods. We propose a fair primal dual algorithmic framework that incorporates the smooth term not only into the primal subproblem but also into the dual subproblem. We unify the global convergence and establish the convergence rates of our proposed fair primal dual method. Experiments on image denoising and super-resolution reconstruction demonstrate the superiority of the proposed method over the current state-of-the-art.
format Preprint
id arxiv_https___arxiv_org_abs_2412_08613
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fair Primal Dual Splitting Method for Image Inverse Problems
Qu, Yunfei
Han, Deren
Computer Vision and Pattern Recognition
Optimization and Control
Image inverse problems have numerous applications, including image processing, super-resolution, and computer vision, which are important areas in image science. These application models can be seen as a three-function composite optimization problem solvable by a variety of primal dual-type methods. We propose a fair primal dual algorithmic framework that incorporates the smooth term not only into the primal subproblem but also into the dual subproblem. We unify the global convergence and establish the convergence rates of our proposed fair primal dual method. Experiments on image denoising and super-resolution reconstruction demonstrate the superiority of the proposed method over the current state-of-the-art.
title Fair Primal Dual Splitting Method for Image Inverse Problems
topic Computer Vision and Pattern Recognition
Optimization and Control
url https://arxiv.org/abs/2412.08613