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Singular Sets of Minimizers for the Mumford-Shah Functional: 233 (Progress in Mathematics) - Hardcover
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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. It 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.
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“This monograph is the Ferran Sunyer i Balaguer 2004 prize winner.The book under review gives an excellent overview of a part of the work done in recent years on this problem ... and the book is therefore a useful source for mathematicians working in this field.”(MATHEMATICAL REVIEWS)
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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. It 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.
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Singular Sets Of Minimizers For The Mumford-Shah Functional: Ferran Sunyer I Balaguer Award Winning Monograph (Hb)
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Singular sets of minimizers for the mumford-shah functional.
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24 cm. original hardcover. 582 pp. diagrams. references. index. "Progress in Mathematics". -(very) good. 1140g. Artikel-Nr. 71513
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Singular Sets Of Minimizers For The Mumford-shah Functional
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Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Artikel-Nr. ABNR-144690
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Singular Sets of Minimizers for the Mumford-Shah Functional
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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Artikel-Nr. 1715675/12
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Singular Sets of Minimizers for the Mumford-Shah Functional
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Birkhäuser Basel, Birkhäuser Basel Mär 2005, 2005
ISBN 10: 376437182X
ISBN 13: 9783764371821
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Buch. Zustand: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 604 pp. Englisch. Artikel-Nr. 9783764371821
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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
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783764371821
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Singular Sets Of Minimizers For The Mumford-shah Functional
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Hardcover. Zustand: Brand New. 1st edition. 581 pages. 9.25x6.25x1.50 inches. In Stock. Artikel-Nr. x-376437182X
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