Téléchargez le livre : Singular Sets of Minimizers for the Mumford-Shah Functional

Singular Sets of Minimizers for the Mumford-Shah Functional



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Éditeur :

Birkhäuser


Paru le : 2006-03-10



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Description
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004. This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. Some time is spent on the C^1 regularity theorem (with an essentially unpublished proof in dimension 2), but a good part of the book is devoted to applications of A. Bonnet's monotonicity and blow-up techniques. In particular, global minimizers in the plane are studied in full detail.
The book is largely self-contained and should be accessible to graduate students in analysis.The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.
Pages
581 pages
Collection
n.c
Parution
2006-03-10
Marque
Birkhäuser
EAN papier
9783764371821
EAN PDF
9783764373023
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
58
Taille du fichier
5960 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
94,94 €

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