Guy David
Singular Sets of Minimizers for the Mumford-Shah Functional
Gebonden Engels 2005 2005e druk 9783764371821
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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 and unified way.
Specificaties
ISBN13:9783764371821
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:581
Uitgever:Birkhäuser Basel
Druk:2005
Serie:Progress in Mathematics
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Inhoudsopgave
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.
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