The Euler Number from the Distance Function
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Título
The Euler Number from the Distance FunctionAutoría
Fecha de publicación
2013Editor
International Society for StereologyISSN
1580-3139; 1854-5165Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.ias-iss.org/ojs/IAS/article/view/1006Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
Image Analysis and Stereology, 2013, vol. 32, no 3Derechos de acceso
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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