Инд. авторы:	Reznik A.L, Solov’ev A.A., Torgov A.V.
Заглавие:	On the probability of the formation of local groups in random point images
Библ. ссылка:	Reznik A.L, Solov’ev A.A., Torgov A.V. On the probability of the formation of local groups in random point images // Pattern Recognition and Image Analysis. - 2016. - Vol.26. - Iss. 4. - P.714-719. - ISSN 1054-6618. - EISSN 1555-6212.
Внешние системы:	DOI: 10.1134/S1054661816040155; SCOPUS: 2-s2.0-85007595704;
Реферат:	eng: Original programming, combinatorial, and geometric schemes are presented. They have been developed and used by the authors to calculate exact analytical formulas that describe the probability of the formation of local groups of a given size in random point images. Formulas, which will be discussed below, arise in the assessment of the reliability detection of point images, when they are detected by scanning the aperture that has a limited number of thresholds. In this paper, significant attention is paid to the formulation and solution of difficult combinatorial problems that have been encountered in the course of the investigation and that are associated with new generalization of the Catalan numbers. © 2016, Pleiades Publishing, Ltd.
Ключевые слова:	Random points; Random image; nocv1; Local groups; Computer analytical calculations; Combinatorial problem; Pattern recognition; Analytical formulas; Computer vision; random local groups; random image; generalized Catalan numbers; computer analytical calculations; Catalan number;
Издано:	2016
Физ. характеристика:	с.714-719