The Euler Number from the Distance Function
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Títol
The Euler Number from the Distance FunctionAutoria
Data de publicació
2013Editor
International Society for StereologyISSN
1580-3139; 1854-5165Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.ias-iss.org/ojs/IAS/article/view/1006Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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 ... [+]
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 Poincare-Hopf Theorem, when the index of critical points of the square of the distance function with ´respect to the origin O is considered. [-]
Publicat a
Image Analysis and Stereology, 2013, vol. 32, no 3Drets d'accés
The original publication is available at http://www.wise-t.com/ias
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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