Spherical Distributions

Check out this animation of optimization for a near-uniform distribution of nodes on the surface of a sphere. Nodes are modeled as charged particles constrained to the surface of a sphere that mutually repel one another. Each frame is an iteration of the optimization process that minimizes the total potential energy in the system. Iterations are stopped after convergence or 200 iterations.

This is an implementation of the solution in M. R. P. Thomas, “Fast Computation of Cubature Formulae for the Sphere,” in proc. Hands-Free Speech Comm. and Microphone Arrays (HSCMA), San Francisco, USA, Mar. 2017.

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