计算机工程与应用 ›› 2013, Vol. 49 ›› Issue (16): 18-20.

• 博士论坛 • 上一篇    下一篇

非凸总广义变差图像恢复模型

郝  岩,许建楼   

  1. 河南科技大学 数学与统计学院,河南 洛阳 471023
  • 出版日期:2013-08-15 发布日期:2013-08-15

Nonconvex total generalized variation based image restoration model

HAO Yan, XU Jianlou   

  1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan 471023, China
  • Online:2013-08-15 Published:2013-08-15

摘要: 为有效地保护图像的几何结构,提出了一种非凸二阶总广义变差图像恢复模型。该模型引入了类似于[L0]范数的非凸稀疏正则约束,模型能更好地保护图像的结构特征。为有效地计算该模型,采用迭代重加权和原始-对偶算法。数值实验表明,相比于最近的二阶总广义变差方法,该方法获得了较好的实验结果。

关键词: 图像恢复, 总广义变差, 阶梯效应, 原始-对偶算法

Abstract: In order to preserve the geometric structure of image effectively, a novel nonconvex second-order total generalized variation image restoration model is proposed. The proposed model introduces a nonconvex sparse regularization term, and it is similar to the [L0] norm, so the new model can protect the structure features better. In addition, for computing the new model effectively, the reweighted method and primal-dual method are presented. Experimental results show that the proposed model can get better results compared with the recent method.

Key words: image restoration, total generalized variation, staircase effect, primal-dual method