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Bivariate random closed sets and nerve fibre degeneration

Part of: Inference from stochastic processes Multivariate analysis Stochastic processes Geometric probability and stochastic geometry

Published online by Cambridge University Press:  01 July 2016

Guillermo Ayala  and
Amelia Simó
Guillermo Ayala*
Affiliation:
Universidad de Valencia
Amelia Simó*
Affiliation:
Universidad Jaume I
*
* Postal address: Departamento de Estadística e I.O. de la Universitat de València, Dr. Moliner, 50, 46100 Burjassot-Valencia, Spain.
** Postal address: Departamento de Matemáticas de la Universidad Jaume I, Castellón, Spain.
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Abstract

A biphase image, representing the normal and degenerated fibres in a vertical cross-section of a nerve, is considered. A random set model based on a Gibbs point process is proposed for the union of the two phases. A kind of independence between the degeneration process and the original fibres is defined and tested.

Keywords

GIBBS PROCESSRANDOM LABELLING

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry 62M30: Spatial processes
Secondary: 62H11: Directional data; spatial statistics 60G55: Point processes
Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 27 , Issue 2 , June 1995 , pp. 293 - 305
Copyright
Copyright © Applied Probability Trust 1995 

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Footnotes

The original version of this paper was presented at the International Workshop on Stochastic Geometry, Stereology and Image Analysis held at the Universidad Internacional Menendez Pelayo, Valencia, Spain, on 21–24 September 1993.

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