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Covering spaces and Delaunay triangulations of the 2D flat torus
Abstract : A previous algorithm was computing the Delaunay triangulation of the flat torus, by using a 9-sheeted covering space. We propose a modification of the algorithm using only a 8-sheeted covering space, which allows to work with 8 periodic copies of the input points instead of 9. The main interest of our contribution is not only this result, but most of all the method itself: this new construction of covering spaces generalizes to Delaunay triangulations of surfaces of higher genus.
Cited literature [12 references]
https://hal.inria.fr/hal-01109626
Contributor : Monique Teillaud Connect in order to contact the contributor
Submitted on : Monday, January 26, 2015 - 4:15:55 PM
Last modification on : Saturday, May 1, 2021 - 3:41:21 AM
Long-term archiving on: : Monday, April 27, 2015 - 10:45:57 AM
Contributor : Monique Teillaud Connect in order to contact the contributor
Submitted on : Monday, January 26, 2015 - 4:15:55 PM
Last modification on : Saturday, May 1, 2021 - 3:41:21 AM
Long-term archiving on: : Monday, April 27, 2015 - 10:45:57 AM
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