Image Decomposition and Texture Segmentation via Sparse Representation

Decomposing an image into a texture part and a non-texture (cartoon) part, as well as grouping the texture part into several homogeneous subparts, is studied in this letter. The so-called texture part is composed of both the self-similar structure and the oscillatory noise. The self-similar structure of each homogenous subtexture is captured in its principal subspace. Both the segmentation and the decomposition are essentially related to sparse representation and are united to a framework.