Clifford Fourier Transform for Color Image Processing
Résumé
The aim of this paper is to define a Clifford Fourier transform that is suitable for color image spectral analysis. There have been many attempts to define such a transformation using quaternions or Clifford algebras. We focus here on a geometric approach using group actions. The idea is to generalize the usual definition based on the characters of abelian groups by considering group morphisms from $R^2$ to spinor groups Spin(3) and Spin(4). The transformation we propose is parameterized by a bivector and a quadratic form, the choice of which is related to the application to be treated. A general definition for 4D signal defined on the plane is also given; for particular choices of spinors it coincides with the definitions of S.Sangwine and T. Bülow.
Fichier principal
AGACSE.pdf (240.24 Ko)
Télécharger le fichier
Fhouse_color.png (4.67 Ko)
Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Format : Figure, Image