Singular Value Conjugation: An Approach for Computing Similarity Among Rectangular Images

In computer sciences, matrices are widely used for representing different kinds of information. Furthermore, measuring similarity among matrices is an interesting open problem. In this paper we introduce a new similarity measure among two data matrices of the same class; the idea is based on evaluating the effect of conjugating the singular values and singular vectors of one matrix with the other matrix, and vice versa. A brief analysis of singular value conjugation (SV-conjugation) is also included in order to extend the understanding of the concept. Finally, some experimental results are presented with the aim of exemplify the usefulness of SV-conjugation as an approach for the problem of computing similarity among data matrices and also among images