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Integral geometric formulae for projection functions

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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.

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Authors and Affiliations

  1. Mathematics Department, University of Oklahoma, 73019, Norman, OK, USA

    Paul Goodey

  2. Mathematisches Institut II, Universität Karlsruhe, D-7500, Karlsruhe, Germany

    Wolfgang Weil

Authors
  1. Paul Goodey
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  2. Wolfgang Weil
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Additional information

Supported in part by a grant from the National Science Foundation (DMS-8908717).

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Goodey, P., Weil, W. Integral geometric formulae for projection functions. Geom Dedicata 41, 117–126 (1992). https://doi.org/10.1007/BF00181548

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  • DOI: https://doi.org/10.1007/BF00181548

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