Duals of Orphan-Free Anisotropic Voronoi Diagrams are Triangulations

Guillermo D. Canas; Steven J. Gortler

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arXiv · 1102.3673

Duals of Orphan-Free Anisotropic Voronoi Diagrams are Triangulations

Guillermo D. Canas·Steven J. Gortler

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Abstract

We show that, under mild conditions on the underlying metric, duals of appropriately defined anisotropic Voronoi diagrams are embedded triangulations. Furthermore, they always triangulate the convex hull of the vertices, and have other properties that parallel those of ordinary Delaunay triangulations. These results apply to the duals of anisotropic Voronoi diagrams of any set of vertices, so long as the diagram is orphan-free.

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BibTeX RIS

Guillermo D. Canas, Steven J. Gortler. 2012-03-27. Duals of Orphan-Free Anisotropic Voronoi Diagrams are Triangulations. https://arxiv.org/abs/1102.3673

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