Embedded Delaunay triangulations for point clouds of surfaces in $\mathbb{R}^3$

preprint2020arXivOpen access

In the following article we discuss Delaunay triangulations for a point cloud on an embedded surface in $\mathbb{R}^3$ . We give sufficient conditions on the point cloud to show that the diagonal switch algorithm finds an embedded Delaunay triangulation.

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Embedded Delaunay triangulations for point clouds of surfaces in $\mathbb{R}^3$

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Embedded Delaunay triangulations for point clouds of surfaces in R3\mathbb{R}^3R3

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Embedded Delaunay triangulations for point clouds of surfaces in $\mathbb{R}^3$