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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: David, Guy (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edición:1st ed. 2005.
Colección:Progress in Mathematics, 233
Temas:
Mathematical optimization.
Calculus of variations.
Functional analysis.
Differential equations.
Calculus of Variations and Optimization.
Functional Analysis.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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