Integral geometric formulae for projection functions |
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Authors: | Paul Goodey Wolfgang Weil |
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Institution: | (1) Mathematics Department, University of Oklahoma, 73019 Norman, OK, USA;(2) Mathematisches Institut II, Universität Karlsruhe, D-7500 Karlsruhe, Germany |
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Abstract: | Principal kinematic and Crofton formulae are established for projection functions of convex bodies. In the case of centrally symmetric bodies, the results are expressed in terms of Radon transforms of the projection functions.Supported in part by a grant from the National Science Foundation (DMS-8908717). |
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