摘要

It is hot research topics that how to design a proper image sparse representation model and a fast numerical algorithm for effective sparse decomposition of images. At first structure adaptive multi-component sparse representation model of image is constructed. This model adaptively segments an image into quad-tree block in terms of geometrical structure character and relative threshold, and each homogenous block is classified as one of plain, edge or texture structure. At the same time, a multi-component dictionary is construed to represent each block. Furthermore, a structure adaptive matching pursuit subspace search algorithm is proposed to obtain effective image sparse representation. When seeking for sparse decomposition of every quad-tree block, it is only to search in subspace of single component sub-dictionary with the same structure type as current block. Due to the reduction of dimension of image and complexity of searching in the dictionary, our algorithm for sparse representation is effective and fast. The experimental results confirm the efficiency of our algorithm.

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