Numerical Methods of Interpolation for the Solution of Some Problems of the Convex Geometry in Lobachevsky’s Space
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.