去除乘性噪声的小波变分模型

Wavelet Based Variational Model to Remove Multiplicative Noise

基于一个凸的全变差变分能量泛函,本文提出一个去除乘性噪声的小波变分模型.使用凸优化工具,给出该模型的交替分裂Bregman算法.相比于目前基于全变差去除乘性噪声的变分模型和分裂算法,新模型和算法形式简单,推广性强.一系列实验结果验证了本文算法及推广算法的有效性.

Based on a convex total variation（TV） variational energy function,this paper proposes a wavelet based variational model to remove multiplicative noise.Using convex optimization tool,we give an alternating split Bregman algorithm to solve the proposed model.Compared with existing TV based method,the proposed algorithm is simple and can be extended easily.Numerical experiments are presented to demonstrate the efficient performance of the proposed algorithm and its extensions.