English

Iterative regularization algorithms for image denoising with the TV-Stokes model

Numerical Analysis 2020-09-28 v1 Computer Vision and Pattern Recognition Numerical Analysis Optimization and Control

Abstract

We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise. These are some extensions of the iterative regularization algorithm proposed for the classical Rudin-Osher-Fatemi (ROF) model for image reconstruction, a single step model involving a scalar field smoothing, to the TV-Stokes model for image reconstruction, a two steps model involving a vector field smoothing in the first and a scalar field smoothing in the second. The iterative regularization algorithms proposed here are Richardson's iteration like. We have experimental results that show improvement over the original method in the quality of the restored image. Convergence analysis and numerical experiments are presented.

Keywords

Cite

@article{arxiv.2009.11976,
  title  = {Iterative regularization algorithms for image denoising with the TV-Stokes model},
  author = {Bin Wu and Leszek Marcinkowski and Xue-Cheng Tai and Talal Rahman},
  journal= {arXiv preprint arXiv:2009.11976},
  year   = {2020}
}
R2 v1 2026-06-23T18:46:54.477Z