An integral-geometric approach for the Euler-Poincare characteristic of spatial images

Authors
Nagel, W Ohser, J Pischang, K
Citation
W. Nagel et al., An integral-geometric approach for the Euler-Poincare characteristic of spatial images, J MICROSC O, 198, 2000, pp. 54-62
Citations number
14
Categorie Soggetti
Multidisciplinary
Journal title
JOURNAL OF MICROSCOPY-OXFORD
ISSN journal
00222720 → ACNP
Volume
198
Year of publication
2000
Part
1
Pages
54 - 62
Database
ISI
SICI code
0022-2720(200004)198:<54:AIAFTE>2.0.ZU;2-#
Abstract
The determination of the Euler-Poincare characteristic of a set can be base d on observations of a digitized image of that set. In the present paper th e correctness of the method is proved due to a strict integral-geometric ap proach. Our result also provides a link to the methods which are used in im age analysis and are based on graph theory.