Ball point picking is the selection of points randomly placed inside a ball. n random points can be picked in a unit ball in the Wolfram Language using the function RandomPoint[Ball[], n]. Pick variates X_1, ..., X_n independently from a standard normal distribution and variate Y independently from an exponential distribution with parameter λ = 1. Then the distribution of points (X_1, ..., X_n)/sqrt(Y + sum_(i = 1)^n X_i^2)

ball line picking | disk point picking | noise sphere | sphere point picking