title: Calculus of variations and image segmentation.
abstract: A survey of free discontinuity problems related to image segmentation is given. The main properties and open problems about Mumford and Shah and Blake and Zisserman functionals are shown together with an extensive bibliography about recent mathematical developments.
authors.affiliation: Dipartimento di Matematica, Università di Lecce, I-73100 Lecce, Italy. carriero@ingle01.unile.it
authors.forename: Michele
authors.initials: M
authors.lastname: Carriero
authors.forename: Antonio
authors.initials: A
authors.lastname: Leaci
authors.forename: Franco
authors.initials: F
authors.lastname: Tomarelli
mesh_terms: D000818:Animals; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D010775:Photic Stimulation / Q000379:methods*