Fermat theorem and elliptic color histogram features

Luigi Cinque; Stefano Levialdi; Alessio Malizia; F. De Rosa

doi:10.1117/12.472834

13 January 2003 Fermat theorem and elliptic color histogram features

Luigi Cinque, Stefano Levialdi, Alessio Malizia, F. De Rosa

Proceedings Volume 5010, Document Recognition and Retrieval X; (2003) https://doi.org/10.1117/12.472834
Event: Electronic Imaging 2003, 2003, Santa Clara, CA, United States

Abstract

Color histograms are widely used for content-based image retrieval. Their advantages are efficiency, and insensitivity to small changes in camera viewpoint. However, a histogram is a coarse characterization of an image, and so images with very different appearances can have similar histograms. This is particularly important for large image databases, in which many images can have similar color histograms. We will show how to find a relationship between histograms and elliptic curves, in order to define a similarity color feature based onto parametric elliptic equations. This equations are directly involved in the Fermat's Last Theorem, thus representing a solution which is interesting in terms of theory and parametric properties.

Citation Download Citation

Luigi Cinque, Stefano Levialdi, Alessio Malizia, and F. De Rosa "Fermat theorem and elliptic color histogram features", Proc. SPIE 5010, Document Recognition and Retrieval X, (13 January 2003); https://doi.org/10.1117/12.472834

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