paper

Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii

arXiv:math/0412472

Abstract

The article considers the problem of existence and uniqueness of centrally symmetrical convex body for which the projection curvature radius function coincides with a given flag function. A necessary and sufficient condition is found that ensures a positive answer. An algorithm for construction the body in question is proposed

5 pages; no figures

Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii · wovepaper