Инд. авторы:	Reznik A.L, Tuzikov A.V., Solov'ev A.A., Torgov A.V.
Заглавие:	Analysis of Random Point Images with the Use of Symbolic Computation Codes and Generalized Catalan Numbers
Библ. ссылка:	Reznik A.L, Tuzikov A.V., Solov'ev A.A., Torgov A.V. Analysis of Random Point Images with the Use of Symbolic Computation Codes and Generalized Catalan Numbers // Optoelectronics, Instrumentation and Data Processing. - 2016. - Vol.52. - Iss. 6. - P.529-536. - ISSN 8756-6990. - EISSN 1934-7944.
Внешние системы:	DOI: 10.3103/S8756699016060017; SCOPUS: 2-s2.0-85013345033; WoS: 000395264600001;
Реферат:	eng: Original codes and combinatorial-geometrical computational schemes are presented, which are developed and applied for finding exact analytical formulas that describe the probability of errorless readout of random point images recorded by a scanning aperture with a limited number of threshold levels. Combinatorial problems encountered in the course of the study and associated with the new generalization of Catalan numbers are formulated and solved. An attempt is made to find the explicit analytical form of these numbers, which is, on the one hand, a necessary stage of solving the basic research problem and, on the other hand, an independent self-consistent problem.
Ключевые слова:	random compact groups; generalized Catalan numbers; computer analytical calculations; random image;
Издано:	2016
Физ. характеристика:	с.529-536