Title
A fast and exact algorithm for total variation minimization
Abstract
This paper deals with the minimization of the total variation under a convex data fidelity term. We propose an algorithm which computes an exact minimizer of this problem. The method relies on the decomposition of an image into its level sets. Using these level sets, we map the problem into optimizations of independent binary Markov Random Fields. Binary solutions are found thanks to graph-cut techniques and we show how to derive a fast algorithm. We also study the special case when the fidelity term is the L1-norm. Finally we provide some experiments.
Year
DOI
Venue
2005
10.1007/11492429_43
IbPRIA (1)
Keywords
Field
DocType
markov random fields,fidelity term,special case,convex data,paper deal,binary solution,exact minimizer,fast algorithm,level set,exact algorithm,total variation minimization,independent binary,graph cut,total variation
Markov process,Random field,Exact algorithm,Computer science,Markov random field,Markov chain,Level set,Algorithm,Image segmentation,Binary number
Conference
Volume
ISSN
ISBN
3522
0302-9743
3-540-26153-2
Citations 
PageRank 
References 
35
8.03
14
Authors
2
Name
Order
Citations
PageRank
Jérôme Darbon151241.96
Marc Sigelle231634.12