Singular Sets of Minimizers for the Mumford-Shah Functional - Progress in Mathematics 233 (Hardback)Guy David (author)
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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.
Publisher: Birkhauser Verlag AG
Number of pages: 581
Weight: 1063 g
Dimensions: 234 x 156 x 33 mm
Edition: 2005 ed.
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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