DocumentCode
2333951
Title
A Decomposition Method for Nonsmooth Convex Variational Signal Recovery
Author
Bauschke, Heinz H. ; Combettes, Patrick L. ; Pesquet, Jean-Christophe
Author_Institution
Dept. of Math., British Columbia Univ., Vancouver, BC
Volume
5
fYear
2006
fDate
14-19 May 2006
Abstract
Under consideration is the large body of signal recovery problems that can be formulated as the problem of minimizing the sum of two (not necessarily smooth) proper lower semicontinuous convex functions in a real Hilbert space. This generic problem is analyzed and a decomposition method is proposed to solve it. The convergence of the method, which is based on an extension of the Douglas-Rachford algorithm for monotone operators splitting, is established under general conditions. Various signal recovery applications are discussed and numerical results are provided
Keywords
signal processing; Douglas-Rachford algorithm; Hilbert space; decomposition method; nonsmooth convex variational signal recovery; Convergence; Geometry; Hilbert space; Image decomposition; Image resolution; Iterative algorithms; Iterative methods; Mathematics; Signal resolution; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Conference_Location
Toulouse
ISSN
1520-6149
Print_ISBN
1-4244-0469-X
Type
conf
DOI
10.1109/ICASSP.2006.1661444
Filename
1661444
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