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Reports Year : 2003

Approximation of Normal Cycles

David Cohen-Steiner
  • Function : Author
  • PersonId : 833472
Jean-Marie Morvan
  • Function : Author


This report deals with approximations of geometric data defined on a hypersurf- ace of the Euclidean space E^n. Using geometric measure theory, we evaluate an upper bound on the flat norm of the difference of the normal cycle of a compact subset of E^n whose boundary is a smooth (closed oriented embedded) hypersurface, and the normal cycle of a compact geometric subset of E^n "close to it". We deduce bounds between the difference of the curvature measures of the smooth hypersurface and the curvature measures of the geometric compact subset.


Other [cs.OH]
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Dates and versions

inria-00071863 , version 1 (23-05-2006)


  • HAL Id : inria-00071863 , version 1


David Cohen-Steiner, Jean-Marie Morvan. Approximation of Normal Cycles. RR-4723, INRIA. 2003. ⟨inria-00071863⟩
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