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La formule de Steiner pour les érosions

Published online by Cambridge University Press:  14 July 2016

G. Matheron
G. Matheron*
Affiliation:
Centre de Morphologie Mathématique, École Nationale Superieur des Mines de Paris
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Abstract

If A and K are compact convex sets in ℝn, a Steiner-type formula is valid for the erosion of A by K if and only if A is open with respect to K. The if part is proved in the general case. The only if part is conjectured, and proved only in the case n = 2.

Keywords

EROSIONSTEINER FORMULA
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 1 , March 1978 , pp. 126 - 135
Copyright
Copyright © Applied Probability Trust 1978 

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References

Référence

[1] Miles, R. E. (1974) On the elimination of edge effects in planar sampling. In Stochastic Geometry, ed. Harding, E. F. and Kendall, D. G. Wiley, London.Google Scholar