Rendiconti del Circolo Matematico di Palermo

, Volume 33, Issue 3, pp 436–440

Smooth approximation of convex bodies

  • Rolf Schneider

DOI: 10.1007/BF02844505

Cite this article as:
Schneider, R. Rend. Circ. Mat. Palermo (1984) 33: 436. doi:10.1007/BF02844505


We describe a general approximation procedure for convex bodies which shows, in particular, that a body of constant width can be approximated, in the Hausdorff metric, by bodies of constant width with analytic boundaries (in fact, with algebraic support functions). Moreover, the approximating bodies have (at least) the same symmetries as the original one.

Copyright information

© Springer 1984

Authors and Affiliations

  • Rolf Schneider
    • 1
  1. 1.Mathematisches InstitutFreiburg i. Br.

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