Color Texture Modeling and Color Image Decomposition in a Variational-PDE Approach

Abstract

This paper is devoted to a new variational model for color texture modeling and color image decomposition into cartoon and texture. A given image f in the RGB space is decomposed into a cartoon part and a texture part. The cartoon part is modeled by the space of vector-valued functions of bounded variation, while the texture or noise part is modeled by a space of oscillatory functions, dual in some sense of the BV space. Examples for color image decomposition, color image denoising, and color texture discrimination and segmentation will be presented.