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Mathеmatical Modeling of Relations of Ellipses in Optimal Object Clustering
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UDC: 004:519.6;519.859
Publication Language: Russian
Stuc. intelekt. 2012; 17(4):89-96
Abstract: The article considers constructive tools of mathematical modeling and computer simulation technique of relations (inclusion, non-intersecting, touching, intersecting) between elliptic objects. A complete class of free radical approximations of phi-functions for ellipses and their complements are defined. We provide a mathematical model of the optimal clustering of elliptic objects in the form of constrained optimisation problem. A number of computational results are given.
Keywords: mathematical modeling, ellipses, phi-function, optimal clustering.
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