For many Monte Carlo methods, such as those in graphical computing, it is critical to uniformly sample from
Continue reading “How to generate uniformly random points on n-spheres and in n-balls”
Evenly distributing points on a sphere
How to distribute points on the surface of a sphere as evenly as possibly is an incredibly important problem in maths, science and computing, and mapping the Fibonacci lattice onto the surface of a sphere via equal-area projection is an extremely fast and effective approximate method to achieve this. I show that with only minor modifications it can be made even better.
