Gamma-convergence of discrete functionals with nonconvex perturbation for image classification (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• Gamma-convergence of discrete functionals with nonconvex perturbation for image classification (Articolo in rivista) (literal)

Anno

• 2004-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1137/S0036142902412336 (literal)

Alternative label

• Aubert G., Blanc-Fèraud L., March R. (2004)
  Gamma-convergence of discrete functionals with nonconvex perturbation for image classification
  in SIAM journal on numerical analysis (Print)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Aubert G., Blanc-Fèraud L., March R. (literal)

Pagina inizio

• 1128 (literal)

Pagina fine

• 1145 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 42 (literal)

Rivista

• SIAM journal on numerical analysis (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 3 (literal)

Note

• athematical Reviews on the web (MathSciNet (literal)
• Scopus (literal)
• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Aubert G., Universitè de Nice Sophia Antipolis France; Blanc-Fèraud L., INRIA Sophia Antipolis France; March R., IAC-CNR (literal)

Titolo

• Gamma-convergence of discrete functionals with nonconvex perturbation for image classification (literal)

Abstract

• The purpose of this paper is to show the theoretical soundness of a variational method proposed in image processing for supervised classification. Based on works developed for phase transitions in fluid mechanics, the classification is obtained by minimizing a sequence of functionals. The method provides an image composed of homogeneous regions with regular boundaries, a region being defined as a set of pixels belonging to the same class. In this paper, we show the Gamma-convergence of the sequence of functionals which differ from the ones proposed in fluid mechanics in the sense that the perturbation term is not quadratic but has a finite asymptote at infinity, corresponding to an edge-preserving regularization term in image processing. (literal)

Prodotto di

• Metodi Quantitativi per il Manufacturing (SP.P01.028.001) (Modulo)
• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)

Autore CNR

• RICCARDO MARCH (Unità di personale interno)

Incoming links:

Prodotto

• Istituto per le applicazioni del calcolo \"Mauro Picone\" (IAC) (Istituto)
• Metodi Quantitativi per il Manufacturing (SP.P01.028.001) (Modulo)

Autore CNR di

• RICCARDO MARCH (Unità di personale interno)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• SIAM journal on numerical analysis (Rivista)