Adaptive image reconstruction using information measures

被引：9
|
作者：
Hermann, U
Noll, D
机构：
[1] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany
[2] Univ Toulouse 3, F-31062 Toulouse, France
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 04期
关键词：
adaptive image restoration filter; image restoration; variational methods;
D O I：
10.1137/S0363012997324338
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We present a class of nonlinear adaptive image restoration filters which may be steered to preserve sharp edges and contrasts in the restorations. From a theoretical point of view we discuss the associated variational problems and prove existence of solutions in certain Sobolev spaces W-1,W-p or in a BV-space. The degree of regularity of the solution may be understood as a mathematical explanation of the heuristic properties of the designed filters.
引用
收藏
页码：1223 / 1240
页数：18
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