An introduction to the Mumford-Shah segmentation model.
Some papers of this special issue concern recent results on mathematical models of segmentation. As they are rather technical we propose here a pedagogical introduction for the non-mathematical reader. We briefly present the variational model of image segmentation proposed by David Mumford and we summarize some fundamental results of De Giorgi's school.
Petitot
Jean
J
Mathematical Center of the Ecole des Hautes Etudes en Sciences Sociales and CREA, Ecole Polytechnique, 1, Rue Descartes, Paris 75005, France. petitot@poly.polytechnique.fr
D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D016571:Neural Networks, Computer