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Reconstruction of Convex Bodies from Projection Curvature Radius Function

Aramyan Rafik
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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.

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BibTeXRIS

Aramyan Rafik. 2005-01-27. Reconstruction of Convex Bodies from Projection Curvature Radius Function. https://arxiv.org/abs/math/0501488

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