Triangulate vertices on a sphere

Version 1.0.0.0 (4.02 KB) by Tianli Yu
Triangulate a set of vertices on a sphere
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Updated 2 Aug 2005

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Triangulate a set of points on the unit sphere using idea of stereographical projection.

Steps:

1. use the first vertex as projection center, project all the points onto a plane
2. call delaunay triangulation to triangulate those points on the plane
3. fill the hole by connecting the first vertex to the convex hull of the other vertices in the plane

Proof: ? not yet

Cite As

Tianli Yu (2024). Triangulate vertices on a sphere (https://www.mathworks.com/matlabcentral/fileexchange/5964-triangulate-vertices-on-a-sphere), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.0.0.0

Update the code to fix a bug where a triangle might be missing due to some symmetric configuration of vertices. Also include a sample program to show the usage of the code.