Singular Sets of Minimizers for the Mumford-Shah Functional

by David Guy

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,...

• Format: Hardcover
• Language: English
• ISBN: 376437182X
• ISBN13: 9783764371821
• Release Date: March 2005
• Publisher: Birkhauser
• Length: 581 Pages
• Weight: 2.54 lbs.
• Dimensions: 1.4" x 6.4" x 9.2"