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Distances between censored intersections between a square lattice and a random smooth path

Part of: Analytic and descriptive geometry

Published online by Cambridge University Press:  14 July 2016

A. V. Wheelwright  and
C. A. Glasbey
A. V. Wheelwright*
Affiliation:
University of Edinburgh
C. A. Glasbey*
Affiliation:
Scottish Agricultural Statistics Service
*
∗ Postal address: Department of Mathematics and Statistics, University of Edinburgh, JCMB, The King's Buildings, Edinburgh EH9 3JZ, UK.
∗∗ Postal address: Scottish Agricultural Statistics Service, JCMB, The King's Buildings, Edinburgh EH9 3JZ, UK.
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Abstract

A random smooth path of infinite length crossed a square lattice. Intersections with the lattice were censored if they lay within a threshold distance of a preceding uncensored intersection, defined by tracking along the path in one direction. The distribution of distances between consecutive uncensored intersections is derived.

Keywords

IMAGE ANALYSISSTEREOLOGY

MSC classification

Primary: 68U15: Text processing; mathematical typography
Secondary: 51N05: Descriptive geometry
Type
Short Communications
Information
Journal of Applied Probability , Volume 30 , Issue 1 , March 1993 , pp. 269 - 274
Copyright
Copyright © Applied Probability Trust 1993 

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References

Coleman, R. (1969) Random paths through convex bodies. J. Appl. Prob. 6, 430–441.Google Scholar
Granlund, G. H. (1972) Fourier preprocessing for hand print character recognition. IEEE Trans. Computers 21, 195–201.Google Scholar