Научная визуализация, 2022, том 14, номер 2, страницы 36 - 48, DOI: 10.26583/sv.14.2.04
Numerical Calculation and Visualization of Pseudosymmetry Attributes of Biological Objects
Авторы: E.V. Popov1,A, T.P. Popova2,B, A.A. Nizhegorodtsev3,C, D. Vershinina4,A
A Nizhegorodsky State Architectural and Civil Engineering University
B National Research University Higher School of Economics
C Lobachevsky State University of Nizhny Novgorod
1 ORCID: 0000-0002-3058-2369, popov_eugene@list.ru
2 ORCID: 0000-0002-1351-222X, tatpop@list.ru
3 ORCID: 0000-0002-6025-3961, ecotoxnn@yandex.ru
4 ORCID: 0000-0002-9139-760X, dascha278@mail.ru
Аннотация
The paper describes the approach and computer program for calculation and visualization of pseudosymmetry attributes of complexly structured objects of various nature. The approach is based on the group-theoretic and set-theoretic analysis. The program is aimed at the numerical estimation of bilateral pseudosymmetry of various nature objects both in 2D and in 3D case. In 2D case it calculates DoI (degree of invariance) of the object contour depending on the angle of its rotation relative to the axes of given coordinate system. The local maxima of DoI plot make it possible to determine the direction of bilateral pseudosymmetry axes of the object contour. In 3D case, the output data of DoI is a table of numerical values depending on zenith and azimuth angles of the spherical coordinate system. This table allows obtaining the set of pseudosymmetry planes of an object. There are some examples in the paper demonstrating the efficiency of the described approach and program.
Ключевые слова: pseudosymmetry, DoI, invariance degree, Group theory, HTML5/Javascript languages.
