New geometric fourier descriptors for color image recognition

José Mennesson (1) , Christophe Saint-Jean (1) , Laurent Mascarilla (1)

1 MIA - Mathématiques, Image et Applications - EA 3165

This article relies on two recent developments of well known methods which are a color Fourier transform using geometric algebra \cite{TMC} and Generalized Fourier descriptors defined from the group $M_2$ of the motion of the plane \cite{Fethi}. 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.

Mots clés: color Fourier descriptors; geometric algebra

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

José Mennesson, Christophe Saint-Jean, Laurent Mascarilla. New geometric fourier descriptors for color image recognition. International Conference on Image Processing (ICIP), Sep 2010, Hong Kong, China. pp.2685-2688, ⟨10.1109/ICIP.2010.5651939⟩. ⟨hal-00599963v2⟩