The Euler Number from the Distance Function
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comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
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Title
The Euler Number from the Distance FunctionAuthor (s)
Date
2013Publisher
International Society for StereologyISSN
1580-3139; 1854-5165Type
info:eu-repo/semantics/articlePublisher version
http://www.ias-iss.org/ojs/IAS/article/view/1006Version
info:eu-repo/semantics/publishedVersionSubject
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 ... [+]
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. [-]
Is part of
Image Analysis and Stereology, 2013, vol. 32, no 3Rights
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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- INIT_Articles [754]
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