THE EULER NUMBER FROM THE DISTANCE FUNCTION

We present a new method to obtain the Euler number of a domain based on the tangent counts of concentric spheres in ℝ³ (or circles in ℝ², with respect to the center <em>O</em>, that sweeps the domain. This method is derived from the Poincaré-Hopf Theorem, when the index of critical point...

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Bibliographic Details
Main Author: Ximo Gual-Arnau
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2013-11-01
Series:Image Analysis and Stereology
Subjects:
Online Access:http://www.ias-iss.org/ojs/IAS/article/view/1006