Title
Fermat Theorem And Elliptic Color Histogram Features
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.
Year
DOI
Venue
2003
10.1117/12.472834
DOCUMENT RECOGNITION AND RETRIEVAL X
Keywords
Field
DocType
cluster,color histogram,color,segmentation,fermat principle,elliptic curve,information retrieval,databases,image analysis,histogram
Computer vision,Histogram,Pattern recognition,Color histogram,Fermat's principle,Image retrieval,Fermat's Last Theorem,Parametric statistics,Artificial intelligence,Mathematics,Elliptic curve,Content-based image retrieval
Conference
Volume
ISSN
Citations 
5010
0277-786X
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
Luigi Cinque122240.97
Stefano Levialdi2761138.15
Alessio Malizia326236.36
Fabio De Rosa4869.54