A complete and stable set of affine-invariant Fourier descriptors

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.

[1]  Faouzi Ghorbel.  Towards a unitary formulation for invariant image description: application to image coding , 1998, Ann. des Télécommunications.

[2]  Faouzi Ghorbel,et al.  Application of affine invariant Fourier descriptors to stereo matching , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[3]  Isaac Weiss,et al.  Projective invariants of shapes , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[4]  Guillermo Sapiro,et al.  Affine invariant scale-space , 1993, International Journal of Computer Vision.

[5]  Yiannis Aloimonos,et al.  Perspective approximations , 1990, Image Vis. Comput..

[6]  G. Sapiro,et al.  On affine plane curve evolution , 1994 .