Clifford-Fourier Transform for Color Image Processing
نویسندگان
چکیده
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 R2 to spinor groups Spin(3) and Spin(4). The transformation we propose is parametrized 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.
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