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Geometriae Dedicata

, Volume 84, Issue 1–3, pp 253–260 | Cite as

A Stereological Version of the Gauss–Bonnet Formula

  • X. Gual-Arnau
  • J. J. Nuño-Ballesteros
Article

Abstract

We give a stereological version of the Gauss–Bonnet formula in order to compute the Euler characteristic of a domain with boundary in a smooth orientable surface in ℝ3, by looking at contacts with a 'sweeping' plane.

Euler–Poincare characteristic contact with planes 

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • X. Gual-Arnau
    • 1
  • J. J. Nuño-Ballesteros
    • 2
  1. 1.Department de Matemàtiques, Campus Riu SecUniversitat Jaume ICastellóSpain
  2. 2.Departament de Geometria i TopologiaUniversitat de ValènciaBurjassotSpain

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