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Total Variation Minimization for Scalar/Vector Regularization

Dibos, Françoise; Koepfler, Georges; Monasse, Pascal (2003), Total Variation Minimization for Scalar/Vector Regularization, in Osher, Stanley; Paragios, Nikos, Geometric Level Set Methods in Imaging, Vision, and Graphics, Springer : Berlin, p. 121-140. http://dx.doi.org/10.1007/0-387-21810-6_7

Type
Chapitre d'ouvrage
Date
2003
Book title
Geometric Level Set Methods in Imaging, Vision, and Graphics
Book author
Osher, Stanley; Paragios, Nikos
Publisher
Springer
Published in
Berlin
ISBN
978-0-387-95488-2
Number of pages
513
Pages
121-140
Publication identifier
http://dx.doi.org/10.1007/0-387-21810-6_7
Metadata
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Author(s)
Dibos, Françoise
Koepfler, Georges
Monasse, Pascal cc
Abstract (EN)
In this chapter we present regularization by using Total Variation (TV) minimization based on a level set approach. After introducing the problem of regularization and citing related work, we introduce our main tool, the Fast Level Sets Transform (FLST). This algorithm decomposes an image in a tree of shapes which gives us a non-redundant and complete representation of the image. This representation, associated to some theoretical facts about functions of bounded variation, leads us to a TV minimization algorithm based on level sets. We conclude by comparing this approach to other implementation and/or other models and show applications to regularization of gray scale and color images, as well as optical flow.
Subjects / Keywords
Fast Level Sets Transform (FLST); level sets; Total Variation (TV) minimization

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    Global Total Variation Minimization 
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    Total Variation Minimization and Graph Cuts for Moving Objects Segmentation 
    Ranchin, Florent; Chambolle, Antonin; Dibos, Françoise (2010) Communication / Conférence
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