# Image Decomposition: Theory, Numerical Schemes, and Performance Evaluation

arXiv: https://arxiv.org/abs/2411.05265 · HTML: https://mlsanity.com/paper/2411.05265/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 0 of its 41 references that are in the map.
- First posted on arXiv 8 Nov 2024.

## Abstract (arXiv)

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.