title: From snakes to region-based active contours defined by region-dependent parameters.
abstract: Image and sequence segmentation of a the segmentation task are discussed from the point of view of optimizing the segmentation criterion. Such a segmentation criterion involves so-called (boundary and region) descriptors, which, in general, may depend on their respective boundaries or regions. This dependency must be taken into account when one is computing the criterion derivative with respect to the unknown object domain (defined by its boundary). If this dependency not considered, some correctional terms may be omitted. Computing the derivative of the segmentation criterion with a dynamic scheme is described. The scheme is general enough to provide a framework for a wide variety of applications in segmentation. It also provides a theoretical meaning to the philosophy of active contours.
authors.affiliation: Laboratoire I3S, Unite Mixte de Recherche, Centre National de la Recherche Scientifique, 6070, Les Algorithmes, Bât. Euclide B, 2000, Route des Lucioles, B.P. 121, 06903 Sophia Antipolis Cedex, France.
authors.forename: Stéphanie
authors.initials: S
authors.lastname: Jehan-Besson
authors.forename: Muriel
authors.initials: M
authors.lastname: Gastaud
authors.forename: Frédéric
authors.initials: F
authors.lastname: Precioso
authors.forename: Michel
authors.initials: M
authors.lastname: Barlaud
authors.forename: Gilles
authors.initials: G
authors.lastname: Aubert
authors.forename: Eric
authors.initials: E
authors.lastname: Debreuve