A Fourth order Partial differential equation model from the Webers Total Variation for image Restoration

摘要：

Here we examine the partial regularity of minimums of a Laplace functional with the Weber TV image restoration in Bounded Variation space. Most conventional image processors consider little the influence of human vision psychology. This paper proposed a new functional. Furthermore, this functional is not only to use Laplace operator but also to add the human psychology system. Of course, because we add the influence of human vision psychology for the regularity item, this adds the difficult extent of the proposed problem of this text. Due to the singular nature of the Laplace, we study a regularized Laplace. With the proof of the experiment, it was to be found that this functional thus smoothes the image ,and preserves edges via total variation because this functional lead into a higher order equation-a fourth order partial differential equation.

关键词： Four order partial differential equation Laplace Functional Total Variation Partial regularity Webers law

作者: ZHAO Dong-Hong WANG Lai-Sheng

作者单位: Agriculture University of China, School of Science, Department of Mathematics University of Science Agriculture University of China, School of Science Department of Mathematics Beijing, China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Advanced Computer Control(2011年IEEE第三届高端计算机控制国际会议 ICACC2011)

会议地点: 哈尔滨

会议语种:英文

页码: 180-184

在线出版日期: 2011-01-18（万方平台首次上网日期，不代表论文的发表时间）