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Determination of convex bodies by their brightness functions
Author(s) -
Gardner R. J.,
Volčič A.
Publication year - 1993
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300006951
Subject(s) - mathematics , hyperplane , convex body , regular polygon , mixed volume , combinatorics , convex analysis , ellipsoid , convex set , geometry , convex hull , convex optimization , physics , astronomy
It is shown that a convex body is determined uniquely among all convex bodies by the volumes of its projections onto all hyperplanes through the origin if and only if it is a parallelotope.