关键词: 卡通纹理分解, 全变分, 广义加速临近梯度算法, 图像恢复, 正则化, MATLAB

Abstract: In order to research the image restoration technology, this paper proposes a kind of approach by using cartoon texture image decomposition and a generalized accelerated proximal gradient algorithm to realize image restoration. To decompose the original fuzzy image into cartoon part and texture part, cartoon part is the low frequency component of the image, noise interference is small, the texture of the image is the high frequency component of the image, noise interference is sharp, and it deblurs and denoises by using the generalized accelerated proximal gradient algorithm, selects small regularization parameters for the cartoon parts, selects big regularization parameters for the texture parts, composes the restoration of the cartoon part and the restoration of the texture part to achieve restoration image. Through simulation of two standard test images by MATLAB, it shows that this method not only converges faster but also is better than the effect of generalized accelerated proximal gradient algorithm, especially is suitable for recovering the image of small fuzzy degrees.

Key words: cartoon texture image decomposition, total variation, generalized accelerated proximal gradient algorithm, image restoration, regularization, MATLAB