Nuevo Indice de Similitud para Imágenes basado en Entropía y Teoría de Grupos (New similarity index for images based on entropy and group theory)

Yasel Garcés Suárez (88yasel@gmail.com)1, Esley Torres García (esley@icimaf.cu)1, Osvaldo Pereira Barzaga (opereira@icimaf.cu)1, Roberto Rodríguez Morales (rrm@icimaf.cu)1


1Instituto de Cibernética Matemática y Física

This paper appears in: Revista IEEE América Latina

Publication Date: May 2015
Volume: 13,   Issue: 5 
ISSN: 1548-0992


Abstract:
In this work, we propose a new similarity index for images considering the entropy function and group theory. This index considers an algebraic group of images, it is defined by an inner law that provides a novel approach for the subtraction of images. Through an equivalence relationship in the field of images, we prove the existence of the quotient group, on which the new similarity index is defined. We also present the main properties of the new index, and the immediate application thereof as a stopping criterion of the "Mean Shift Iterative Algorithm".

Index Terms:
image processing, similarity index, entropy, group theory.   


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