A simple algorithm for uniform sampling on the surface of a hypersphere

04/05/2022

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by   Stefan Schnabel, et al.

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UNIVERSITÄT LEIPZIG

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We propose a simple method for uniform sampling of points on the surface of a hypersphere in arbitrarily many dimensions. By avoiding the evaluation of computationally expensive functions like logarithms, sines, cosines, or higher order roots the new method is faster than alternative techniques.