A Normalized Parameter for Similarity/Dissimilarity Characterization of Sequences

Article type: Research Article

Authors: Džiugys, Algis | Navakas, Robertas^{; *} | Striūgas, Nerijus

Affiliations: Laboratory of Combustion Processes, Lithuanian Energy Institute, Breslaujos 3, 44403 Kaunas, Lithuania, e-mail: [email protected]

Correspondence: [*] Corresponding author.

Abstract: We propose a normalized parameter for characterization of similarity/dissimilarity of two sequences providing a smoothly varying measure for varying symmetry score. Such a parameter can be used for analysis of experimental data and fitting to a theoretical model, mirror symmetry estimation with respect to a selected or presumed symmetry axis, in particular, in symmetry detection applications where the selected symmetry parameters must be evaluated multiple times. We compare the proposed parameter, as well as several of the well-known distance and similarity measures, on an ensemble of template functions morphing continuously from symmetric to antisymmetric shape. This comparison allows to evaluate different similarity and symmetry measures in a more controlled and systematic setting than a simple visual estimation in sample images.

Keywords: distance measure, similarity measure, dissimilarity measure, symmetry, antisymmetry, sequence similarity, symmetry quantification

Journal: Informatica, vol. 26, no. 2, pp. 241-258, 2015