Singular Sets of Minimizers for the Mumford-Shah Functional

by David Guy

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...

• 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"