Singular Sets of Minimizers for the Mumford-Shah Functional
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...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2005.
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| Edition: | 1st ed. 2005. |
| Series: | Progress in Mathematics,
233 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/b137039 |
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Table of Contents:
- 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.