Abstract
The spatial random structure studied is a population of curvilinear polygons partitioning the space. The object of the paper is to provide an automatic method to compute the histograms of the number of edges and neighbours per polygon. The method consists of three steps: first, polygon boundaries are skeletonized; then, a procedure to compute the number of edges and polygon neighbours is outlined. Finally, we develop a statistical method given by MILES to compensate edge effects in planar sampling. Practical applications are made on cells of a sample of sintered alumina.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
J.C. KLEIN, Engineer Doctorate Thesis, Nancy (1975).
H. DIGABEL, Internal Report, CMM C-65, Fontainebleau (1975).
K. PRESTON Jr., I.E.E.E. Trans on Comp. C-20, 9 (1971) 1007-
C. LANTUEJOUL, Engineer Doctorate Thesis (to be published)
H. DIGABEL, Internal Report, CMM, Fontainebleau (to be published)
R.E.:FILES, Stochastic Geometry (Ed. D.G. Kendall and E.F. Harding) Wiley and Sons, London (1974) 228-
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lantuejoul, C. (1978). Computation of the Histograms of the Number of Edges and Neighbours of Cells in a Tessellation. In: Miles, R.E., Serra, J. (eds) Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary. Lecture Notes in Biomathematics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93089-8_27
Download citation
DOI: https://doi.org/10.1007/978-3-642-93089-8_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08856-1
Online ISBN: 978-3-642-93089-8
eBook Packages: Springer Book Archive