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