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Singular Sets of Minimizers for the Mumford-Shah Functional (Progress in Mathematics, 233) - Hardcover
Synopsis
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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Review
From the reviews:
“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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- PublisherBirkhäuser
- Publication date2005
- ISBN 10 376437182X
- ISBN 13 9783764371821
- BindingHardcover
- LanguageEnglish
- Number of pages595
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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: Ferran Sunyer I Balaguer Award Winning Monograph (Hb)
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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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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. Seller Inventory # 71513
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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)
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