Discrete dynamics for convex and non-convex smoothing functionals in PDE based image restoration

被引：0
|
作者：
Elliott, CM [1 ]
Gawron, B
Maier-Paape, S
Van Vleck, ES
机构：
[1] Univ Sussex, Dept Math, Falmer BN1 9QH, E Sussex, England
[2] Rhein Westfal TH Aachen, Inst Math, D-52062 Aachen, Germany
[3] Univ Kansas, Dept Math, Lawrence, KS 66045 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2006年 / 5卷 / 01期
关键词：
Perona-Malik; total variation model; discrete Liapunov functional;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider a model that generalizes the Perona-Malik and the total variation models. We consider discretizations of this new model and show that the discretizations conserve certain properties of the continuous model, in particular convergence of the iterative scheme to a critical point and existence of a discrete Liapunov functional. Computational results are obtained that illustrate different features of the family of models.
引用
收藏
页码：181 / 200
页数：20
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