A complete and stable set of affine-invariant Fourier descriptors

Abstract

We propose here a study of a new affine-invariant Fourier descriptors (Ghorbel (1998)) which are computed on the projection of a given curve that is assumed to be evolving on three dimensional space and supposed to be far enough from the camera. This set of descriptors is compared to the well known affine curvature. These invariants satisfy the completeness and stability properties.