Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii

Details Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii Reconstruction of Centrally Symmetrical Convex Bodies by Projection Curvature Radii

2004-12-23

arxiv.org/abs/math/0412472v1

Mathematics

Metric Geometry

5 pages; no figures

Scientific paper

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

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