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Product Specifications
Book Summary
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
ISBN-13
9783764371821
Language
English
Binding
Hard Bound
Publisher
Birkhauser
Publishing Date
2005-03-22
Product Edition
illustrated edition
Total Pages
581
Singular Sets Of Minimizers For The Mumford-shah Functional
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