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Estimation of oriented direction distribution of a planar body

Part of: General convexity Geometric probability and stochastic geometry

Published online by Cambridge University Press:  01 July 2016

Jan Rataj
Jan Rataj*
Affiliation:
Charles University
*
∗ Postal address: Mathematical Institute, Charles University, Sokolovská 83, 186 00 Praha 8, Czech Republic.
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Abstract

Methods of estimation of the oriented direction distribution (i.e. the distribution of unit outer normals over the boundary) of a planar set from the convex ring are proposed. The methods are based on an estimation of the area dilation of the investigated set by chosen test sets.

Keywords

CONVEX RINGDIRECTION DISTRIBUTIONMIXED AREADILATIONEXOSKELETON

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry
Secondary: 52A39: Mixed volumes and related topics
Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 394 - 404
Copyright
Copyright © Applied Probability Trust 1996 

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Footnotes

Supported partially by the Grant Agency of Czech Republic, project No. 201/93/2172.

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