Mathematical Modeling of Textures: Application to Color Image Decomposition with a Projected Gradient Algorithm

作者：Duval Vincent^*; Aujol Jean Francois; Vese Luminita A

来源：Journal of Mathematical Imaging and Vision, 2010, 37(3): 232-248.

DOI：10.1007/s10851-010-0203-9

• Texture modeling
• Color image decomposition
• Projected gradient algorithm
• Color texture modeling

In this paper, we are interested in texture modeling with functional analysis spaces. We focus on the case of 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.

• 出版日期2010-7