This small project aims at providing several methods for uniformly sampling the surface of an arbitrary ellipsoid.
The definition of "uniformly" may vary between different methods, although the overall goal is to distribute as equally as possible an arbitrary number of points on the surface of an arbitrary ellipsoid.
The following list shows the implemented and WIP methods.
- Ichosaedron sample a unit sphere using the vertices of a regular ichosaedron, subdivide its edges a defined number of times, and project the resulting points onto the ellipsoid
- Fibonacci Spiral sample a unit sphere using a Fibonacci Spiral and an arbitrary number of points, and project the resulting points onto the ellipsoid
- Thomson Problem sample a unit sphere by simulating the behavior of an arbitrary number of atoms lying on the surface of the sphere.
Ellipsoid with "radii" (1,1,3) subdivided twice and tesselated.
Ellipsoid with "radii" (1,1,3) sampled using the Fibonacci Spiral method with 100 points.
