New geometric fourier descriptors for color image recognition

This article relies on two recent developments of well known methods which are a color Fourier transform using geometric algebra and Generalized Fourier descriptors defined from the group M₂ of the motion of the plane. In this paper, new generalized color Fourier descriptors (GCFD) are proposed. They depend on the choice of a bivector B acting as an analysis plane in a colorimetric space. The relevance of proposed descriptors is discussed on several color image databases. In particular, the influence of parameter B is studied regarding the type of images. It appears that proposed descriptors are more compact with a lower complexity and better classification rate.