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A phase correlation for color images using Clifford algebra

Abstract : This article is based on a recent development of a generalization of the Fourier transform. A color Clifford-Fourier transform using geometric algebra is considered to process color images. This transform, defined by Batard et al., generalizes the classical Fourier transform to $L^2(R^m;R^n)$ functions. It avoids a marginal processing that is generally applied in color image processing. From this advance, a new color phase correlation is dened and appears highly relevant for several applications, specifically in the image classication field.
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Submitted on : Friday, September 3, 2010 - 5:20:17 PM
Last modification on : Tuesday, October 19, 2021 - 6:22:58 PM
Long-term archiving on: : Saturday, December 4, 2010 - 2:53:50 AM


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  • HAL Id : hal-00514919, version 1



José Mennesson, Christophe Saint-Jean, Laurent Mascarilla. A phase correlation for color images using Clifford algebra. Applied Geometric Algebras in Computer Science and Engineering, Jun 2010, Amsterdam, Netherlands. ⟨hal-00514919⟩



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