English

Image Decomposition: Theory, Numerical Schemes, and Performance Evaluation

Image and Video Processing 2024-11-11 v1 Computer Vision and Pattern Recognition Functional Analysis

Abstract

This paper describes the many image decomposition models that allow to separate structures and textures or structures, textures, and noise. These models combined a total variation approach with different adapted functional spaces such as Besov or Contourlet spaces or a special oscillating function space based on the work of Yves Meyer. We propose a method to evaluate the performance of such algorithms to enhance understanding of the behavior of these models.

Keywords

Cite

@article{arxiv.2411.05265,
  title  = {Image Decomposition: Theory, Numerical Schemes, and Performance Evaluation},
  author = {Jerome Gilles},
  journal= {arXiv preprint arXiv:2411.05265},
  year   = {2024}
}
R2 v1 2026-06-28T19:52:31.156Z