Singular Sets of Minimizers for the Mumford-Shah Functional

• Κύριος συγγραφέας: David, Guy (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2005.
• Σειρά: Progress in Mathematics ; 233
• Θέματα: Mathematics.; Functional analysis.; Partial differential equations.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Functional Analysis.; Partial Differential Equations.

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 analysi...

Πίνακας περιεχομένων:

• Presentation of the Mumford-Shah Functional
• Functions in the Sobolev Spaces W1,p
• Regularity Properties for Quasiminimizers
• Limits of Almost-Minimizers
• Pieces of C1 Curves for Almost-Minimizers
• Global Mumford-Shah Minimizers in the Plane
• Applications to Almost-Minimizers (n = 2)
• Quasi- and Almost-Minimizers in Higher Dimensions
• Boundary Regularity.