THE EULER NUMBER FROM THE DISTANCE FUNCTION

Authors

  • Ximo Gual-Arnau University Jaume I of Castellón

DOI:

https://doi.org/10.5566/ias.v32.p175-181

Keywords:

critical points, distance function, Euler number, stereology, tangent counts

Abstract

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 O, that sweeps the domain. This method is derived from the Poincaré-Hopf Theorem, when the index of critical points of the square of the distance function with respect to the origin O are considered.

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Published

2013-11-12

How to Cite

Gual-Arnau, X. (2013). THE EULER NUMBER FROM THE DISTANCE FUNCTION. Image Analysis and Stereology, 32(3), 175–181. https://doi.org/10.5566/ias.v32.p175-181

Issue

Section

Original Research Paper