Mathematical modeling of textures : application to color image decomposition with a projected gradient algorithm

Vincent Duval (1) , Jean-François Aujol (2) , Luminita Vese (3)

1 LTCI - Laboratoire Traitement et Communication de l'Information
2 CMLA - Centre de Mathématiques et de Leurs Applications
3 UCLA - UCLA

In this paper, we are interested in color image processing, and in particular color image decomposition. The problem of image decomposition consists in splitting an original image f into two components u and v. u should contain the geometric information of the original image, while v should be made of the oscillating patterns of f, such as textures. We propose here a scheme based on a projected gradient algorithm to compute the solution of various decomposition models for color images or vector-valued images. We provide a direct convergence proof of the scheme, and we give some analysis on color texture modeling.

Mots clés: Color image decomposition; projected gradient algorithm; color texture modeling

Domaines: Traitement des images [eess.IV]

Vincent Duval, Jean-François Aujol, Luminita Vese. Mathematical modeling of textures : application to color image decomposition with a projected gradient algorithm. Journal of Mathematical Imaging and Vision, 2010, 37 (2), pp.232-248. ⟨10.1007/s10851-010-0203-9⟩. ⟨hal-00292898⟩