The Voronoi diagram of three arbitrary lines in R3

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Summary

It is proved that the arcs of trisectors are always monotonic in some direction and it is shown how to separate the connected components and to sort points along each arc of a trisector using only rational linear semi-algebraic tests.

Type
article
Published
2009-03-16
Cited by
10
References
35
Access
Open access

Keywords

Voronoi diagram, Power diagram, Diagram, Weighted Voronoi diagram, Polyhedron

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