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Singular Sets of Minimizers for the Mumford-Shah Functional
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Singular Sets of Minimizers for the Mumford-Shah Functional Hardback - 2005

by Guy David

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From the publisher

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 Some time is spent on the C 1 regularity theorem (with an essentially unpublished proof in dimension 2), but a good part of the book is devoted to applications of A. Bonnet's monotonicity and blow-up techniques.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.

First line

In this first part we want to give a general presentation of the Mumford-Shah functional.

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  • Title Singular Sets of Minimizers for the Mumford-Shah Functional
  • Author Guy David
  • Binding Hardback
  • Edition 1st
  • Pages 581
  • Volumes 1
  • Language ENG
  • Publisher Birkhauser, Basel
  • Publication date 2005-03-22
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • ISBN 9783764371821 / 376437182X
  • Weight 2.47 lbs (1.12 kg)
  • Dimensions 9.15 x 6.36 x 1.37 in (23.24 x 16.15 x 3.48 cm)
  • Category Mathematics
  • Library of Congress Catalogue Number 2005043573
  • Dewey Decimal Code 515.64

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Singular sets of minimizers for the mumford-shah functional.

Singular sets of minimizers for the mumford-shah functional.

by DAVID, G.

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Basel: Birkhäuser, 2005. 24 cm. original hardcover. 582 pp. diagrams. references. index. "Progress in Mathematics". -(very) good.
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SINGULAR SETS OF MINIMIZERS FOR THE MUMFORD-SHAH FUNCTIONAL
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SINGULAR SETS OF MINIMIZERS FOR THE MUMFORD-SHAH FUNCTIONAL

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Singular Sets Of Minimizers For The Mumford-Shah Functional: Ferran Sunyer I Balaguer Award...
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Singular Sets of Minimizers for the Mumford-Shah Functional (Progress in Mathematics, 233)
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Singular Sets of Minimizers for the Mumford-Shah Functional (Progress in Mathematics, 233)

by David, Guy

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Singular Sets of Minimizers for the Mumford-Shah Functional (Progress in Mathematics, 233)
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Singular Sets of Minimizers for the Mumford-Shah Functional (Progress in Mathematics, 233)

by David, Guy

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