THE EULER NUMBER OF DISCRETISED SETS – SURPRISING RESULTS IN THREE DIMENSIONS

The problem of estimating the Euler-Poincare' characteristic (Euler number for short) of a set in the 3d Euclidean space is considered, given that this set is observed in the points of a lattice. In this situation, which is typical in image analysis, the hoice of an appropriate data-based discr...

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Bibliographic Details
Main Authors: Joachim Ohser, Werner Nagel, Katja Schladitz
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2011-05-01
Series:Image Analysis and Stereology
Subjects:
Online Access:http://www.ias-iss.org/ojs/IAS/article/view/727