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A method for quadratic accuracy interpolation on a sphere

Rauan Kaldybaev
Posted 2 years ago

POSTED BY: Rauan Kaldybaev
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Ted Ersek
Ted Ersek
Posted 2 years ago

That is wonderful. I looked into how we can make a good triangulation of a sphere surface, and found two methods below that work very well.

Needs["PolyhedronOperations`"]
Geodesate[PolyhedronData["Icosahedron"],10]

sphere1

Graphics3D[ConvexHullMesh[SpherePoints[1000]]]

sphere2
POSTED BY: Ted Ersek

Thank you! That seems very interesting. Too bad (or good?) you didn't respond earlier, as I've already bothered to come up with a triangulation technique that also works quite well. It starts with an icosahedron and divides each triangle into four smaller triangles during each iteration: illustration
POSTED BY: Rauan Kaldybaev

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