Geodesic
Numerical methods of interpolation for the solution of some problems of the convex geometry in Lobachevsky's space
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 76-90

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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, convex polyhedrons in Lobachevsky's space.
Mots-clés : interpolation 
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     author = {M. V. Kurkina and E. D. Rodionov and V. V. Slavsky},
     title = {Numerical methods of interpolation for the solution of some problems of the convex geometry in {Lobachevsky's} space},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a7/}
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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. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 76-90. http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a7/