A geometric model for active contours in image processing

Caselles, Vincent; Catté, Francine; Coll, Tomeu; Dibos, Françoise

Caselles, Vincent; Catté, Francine; Coll, Tomeu; Dibos, Françoise (1993), A geometric model for active contours in image processing, Numerische Mathematik, 66, 1, p. 1-31. http://dx.doi.org/10.1007/BF01385685

Type

Article accepté pour publication ou publié

Date

1993

Journal name

Numerische Mathematik

Volume

Number

Publisher

Springer

Pages

1-31

Abstract (EN)

We propose a new model for active contours based on a geometric partial differential equation. Our model is intrinsec, stable (satisfies the maximum principle) and permits a rigorous mathematical analysis. It enables us to extract smooth shapes (we cannot retrieve angles) and it can be adapted to find several contours simultaneously. Moreover, as a consequence of the stability, we can design robust algorithms which can be engineed with no parameters in applications. Numerical experiments are presented.

Subjects / Keywords

geometric PDE