STEREOLOGICAL ANALYSIS OF SHAPE

Asger Hobolth, Eva B Vedel Jensen

Abstract

This paper concerns the problem of making stereological inference about the shape variability in a population of spatial particles. Under rotational invariance the shape variability can be estimated from central planar sections through the particles. A simple, but flexible, parametric model for rotation invariant spatial particles is suggested. It is shown how the parameters of the model can be estimated from observations on central sections. The corresponding model for planar particles is also discussed in some detail.

Keywords
Fourier descriptors; Gaussian process; radius-vector function; shape; spherical harmonics; star­shaped objects; stereology

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DOI: 10.5566/ias.v21.pS23-S29

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)