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La formule de crofton pour les sections Épaisses

Published online by Cambridge University Press:  14 July 2016

Georges Matheron
Georges Matheron*
Affiliation:
Centre de Morphologie Mathématique École Nationale Supérieure des Mines de Paris
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Abstract

The classical Crofton formula is generalized to the case of thick sections, and the corresponding corrective formulae are given.

Keywords

CROFTON'S FORMULATHICK SECTIONSRANDOM CONVEX ISOTROPIC SETSINTEGRAL GEOMETRYSTEINER'S FORMULA
Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 4 , December 1976 , pp. 707 - 713
Copyright
Copyright © Applied Probability Trust 1976 

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References

Giger, H. (1972) Grundgleichungen der Stereologie II. Metrika 18, 84–93.CrossRefGoogle Scholar
Matheron, G. (1975) Random Sets and Integral Geometry. Wiley, New York.Google Scholar
Miles, R. E. (1974) The estimation of aggregate and overall characteristics from thick sections by transmission microscopy. Electron Microscopy 1974, Vol. 2, Ed. Sanders, J. V. and Goodchild, D. J. Australian Academy of Science, Canberra, 6–7.Google Scholar
Miles, R. E. (1976) On estimating aggregate and overall characteristics from thick sections by transmission microscopy. Proceedings of the 4th International Congress for Stereology, Gaithersburg, Md., U.S.A. National Bureau of Standards Special Publication 431.CrossRefGoogle Scholar