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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 1, Pages 76–90
(Mi vngu132)
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Numerical methods of interpolation for the solution of some problems of the convex geometry in Lobachevsky's space
M. V. Kurkinaa, E. D. Rodionovb, V. V. Slavskya a Yugra State University, Khanty-Mansiysk, Russia
b Altai State University, Barnaul, Russia
Abstract:
Convex surfaces in Lobachevsky's space correspond to conformally flat metrics of the bounded curvature. Convex polyhedrons are the most important convex sets in the practical relation. In this paper the corresponding conformally flat metrics are studied, and numerical algorithms for the construction of such metrics are considered in details.
Keywords:
conformally flat metrics, interpolation, convex polyhedrons in Lobachevsky's space.
Received: 15.04.2012
Citation:
M. V. Kurkina, E. D. Rodionov, V. V. Slavsky, “Numerical methods of interpolation for the solution of some problems of the convex geometry in Lobachevsky's space”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013), 76–90; J. Math. Sci., 203:4 (2014), 516–526
Linking options:
https://www.mathnet.ru/eng/vngu132 https://www.mathnet.ru/eng/vngu/v13/i1/p76
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Abstract page: | 278 | Full-text PDF : | 67 | References: | 29 | First page: | 7 |
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