Reconstruction of Convex Bodies from Projection Curvature Radius Function
Differential Geometry
2016-09-07 v1 Metric Geometry
Abstract
In this article we pose the problem of existence and uniqueness of convex body for which the projection curvature radius function coincides with given function. We find a necessary and sufficient condition that ensures a positive answer to both questions and suggest an algorithm of construction of the body. Also we find a representation of the support function of a convex body by projection curvature radii.
Cite
@article{arxiv.math/0501488,
title = {Reconstruction of Convex Bodies from Projection Curvature Radius Function},
author = {Aramyan Rafik},
journal= {arXiv preprint arXiv:math/0501488},
year = {2016}
}
Comments
14 pages, 0 figures