摘要: 针对有整齐边界且加性噪声满足均匀、椒盐、拉普拉斯等非高斯分布的图像,根据逐步拟合及变量转换思想,提出一种基于l1-非凸、非光滑函数的逐步非凸图像恢复方法。根据原始非凸、非光滑函数建立一组拟合函数,获得原始问题的优良初始值,利用变量转换解决l1-非凸、非光滑函数的非可微性问题。实验结果表明,该方法恢复的图像效果较好,峰值信噪比较高。
关键词:
l1-非凸,
非光滑,
非高斯,
整齐边界,
惩罚函数,
图像恢复
Abstract: Aiming at the images with neat boundaries and the additive noise satisfies the condition that its distribution is nonGaussian such as uniform, salt & pepper, Laplace and so on, a GNC method for image restoration based on l1-nonconvex nonsmooth function is presented taking the ideas of fitting gradually and variables conversion. According to the original nonconvex nonsmooth function, it establishes a series of fitting functions, which can get better initial value of original problem, meanwhile variable conversion is used effectively to deal with the nondifferen- tiability of l1-nonconvex nonsmooth function. Experimental results show that the method has higher restoration performance.
Key words:
l1-nonconvex,
nonsmooth,
nonGaussian,
neat boundary,
penalty potential function,
image restoration
中图分类号:
刘晓光, 高兴宝, 薛秋芳. 基于l1-非凸非光滑函数的图像恢复方法[J]. 计算机工程, 2012, 38(22): 190-193.
LIU Xiao-Guang, GAO Xin-Bao, XUE Qiu-Fang. Image Restoration Method Based on l1-Nonconvex Nonsmooth Function[J]. Computer Engineering, 2012, 38(22): 190-193.