Singular Sets of Minimizers for the Mumford-Shah Functional

Singular Sets of Minimizers for the Mumford-Shah Functional

Author: Guy David

Format: ebook

Pages: 581

ISBN: 9781280607974

Publisher: Birkhauser Basel

Release Date: January 10, 2010

Description du Livre

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 Some time is spent on the C DEGREES1 regularity theorem (with an essentially unpublished proof in dimension 2), but a good part of the book is devoted to applications of A. Bonnet's monotonicity and blow-up techniques.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 unifi

Commentaires
Gradasso Martel
Leur Miracle de Noel était le meilleur livre que j’ai jamais acheter. Leur Miracle de Noel a fait exactement ce que tu as dit qu’il faisait.
Émilie Aucoin
Mes amis sont tellement fous qu’ils ne savent pas comment j’ai tous les ebook de haute qualité qu’ils n’ont pas!
Alphonse Ratté
Je tiens à vous remercier personnellement pour vos livres exceptionnels. C’est vraiment merveilleux.
Blanchefle Morneau
Enfin, je reçois cet ebook, merci pour tous ces miracles de Noël que je peux obtenir maintenant!
Andrée Bédard
Je vous recommanderai à mes collègues. Leur miracle de Noël est les livres les plus précieux que nous ayons jamais achetés. Je serais perdu sans ça. Je suis complète ment époustouflé.