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# New geometric fourier descriptors for color image recognition

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00599963
Contributor : Christophe Saint-Jean Connect in order to contact the contributor
Submitted on : Monday, June 20, 2011 - 5:09:15 PM
Last modification on : Tuesday, October 19, 2021 - 6:22:57 PM
Long-term archiving on: : Wednesday, September 21, 2011 - 2:26:17 AM

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ICIP_2010.pdf
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### Citation

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⟩

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