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Finding the edge of a Poisson forest

Published online by Cambridge University Press:  14 July 2016

B. D. Ripley  and
J.-P. Rasson
B. D. Ripley
Affiliation:
Imperial College, London
J.-P. Rasson
Affiliation:
Facultés Universitaires de Namur
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Abstract

The points of a homogeneous Poisson process within a compact convex set are observed. We consider how to reconstruct this domain from the observations.

Keywords

POISSON PROCESSSPATIAL PROCESSPATTERN RECOGNITION

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 3 , September 1977 , pp. 483 - 491
Copyright
Copyright © Applied Probability Trust 1977 

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References

Matheron, G. (1975) Random Sets and Integral Geometry. Wiley, New York.Google Scholar
Renyi, A. and Sulanke, R. (1964) Über die konvexe Hülle von n zufällig gewählten Punkten II. Z. Wahrscheinlichkeitsth. 3, 138–147.Google Scholar