title: Affine plane curve evolution: a fully consistent scheme.
abstract: We present an accurate numerical scheme for the affine plane curve evolution and its morphological extension to grey-level images. This scheme is based on the iteration of a nonlocal, fully affine invariant and numerically stable operator, which can be exactly computed on polygons. The properties of this operator ensure that a few iterations are sufficient to achieve a very good accuracy, unlike classical finite difference schemes that generally require a lot of iterations. Convergence results are provided, as well as theoretical examples and experiments.
authors.affiliation: CMLA, Ecole Normale Superieure de Cachan, France. moisan@cmla.ens-cachan.fr
authors.forename: L
authors.initials: L
authors.lastname: Moisan