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...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2005. |
| Colección: | Progress in Mathematics
233 |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Ferran Sunyer i Balaguer Award winning monograph |
| Edition sous un autre format: | • Singular sets of minimizers for the Mumford-Shah functional, Guy David, Boston, Birkhäuser, 2005, 1 vol. (XIV-581 p.), Progress in mathematics, 3-7643-7182-X |
| LEADER | 03380nam a22003377a 4500 | ||
|---|---|---|---|
| 001 | 937763 | ||
| 008 | 080409q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123100313 | ||
| 020 | |a 9783764373023 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.64 | ||
| 100 | 1 | |a David, Guy, |d 1957-...., |c mathématicien. | |
| 240 | 1 | 0 | |a Ferran Sunyer i Balaguer Award winning monograph |
| 245 | 1 | 0 | |a Singular Sets of Minimizers for the Mumford-Shah Functional |c by Guy David. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 233 |x 2296-505X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 extensive description of the known regularity properties of the singular sets K, and the techniques to get them. Some time is spent on the C^1 regularity theorem (with an essentially unpublished proof in dimension 2), but a good part of the book is devoted to applications of A. Bonnet's monotonicity and blow-up techniques. In particular, global minimizers in the plane are studied in full detail. The book 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 | ||
| 776 | 0 | |0 088859762 |t Singular sets of minimizers for the Mumford-Shah functional |f Guy David |c Boston |n Birkhäuser |d 2005 |p 1 vol. (XIV-581 p.) |s Progress in mathematics |z 3-7643-7182-X | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b137039 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LX6LK3Z9-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747926859 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/b137039 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750938927 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/b137039 |z Accès INSA CVL | |
| 997 | |0 937763 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||