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Singular Sets of Minimizers for the Mumford-Shah Functional (Progress in Mathematics) [Hardcover]

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Item description for Singular Sets of Minimizers for the Mumford-Shah Functional (Progress in Mathematics) by Guy David...

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 Some time is spent on the C^1 regularity theorem (with an essentially unpublished proof in dimension 2), but a good part of the book is devoted to applications of A. Bonnet's monotonicity and blow-up techniques.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





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Item Specifications...


Pages   581
Est. Packaging Dimensions:   Length: 9.1" Width: 6.3" Height: 1.4"
Weight:   2.45 lbs.
Binding  Hardcover
Release Date   Aug 5, 2005
Publisher   Birkhäuser Basel
ISBN  376437182X  
ISBN13  9783764371821  


Availability  89 units.
Availability accurate as of Mar 23, 2017 06:32.
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More About Guy David


Register your artisan biography and upload your photo! Guy David was born in 1957 and has an academic affiliation as follows - Institut Universitaire de France.

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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics
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9Books > Subjects > Science > Mathematics > General
10Books > Subjects > Science > Mathematics > Mathematical Analysis
11Books > Subjects > Science > Mathematics > Pure Mathematics > Set Theory



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