Open AccessSTEREOLOGICAL ANALYSIS OF SHAPE
Author(s) -
Asger Hobolth,
Eva B. Vedel Jensen
Publication year - 2011
Publication title -
image analysis and stereology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.237
H-Index - 27
eISSN - 1854-5165
pISSN - 1580-3139
DOI - 10.5566/ias.v21.ps23-s29
Subject(s) - planar , invariant (physics) , parametric statistics , rotation (mathematics) , population , inference , simple (philosophy) , parametric model , geometry , statistical inference , stereology , mathematics , statistical physics , physics , computer science , statistics , artificial intelligence , computer graphics (images) , philosophy , demography , epistemology , sociology , mathematical physics , medicine
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