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Random Points in an n-Dimensional Hypersphere

version 1.0.0.0 (542 Bytes) by Roger Stafford
Randomly and uniformly distributes points throughout a hypersphere.

4.3K Downloads

Updated 28 Dec 2005

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This creates a set of random points defined by Cartesian coordinates and uniformly distributed over the interior of an n-dimensional hypersphere of radius r with center at the origin.

The 'randn' function is first used to create independent multivariate normally distributed sets of n random variables, each representing points in n-dimensional space. The incomplete gamma function, 'gammainc', is then used to map these points radially to the interior of an n-dimensional hypersphere of finite radius r in such a way as to be spatially uniformly distributed.

Cite As

Roger Stafford (2021). Random Points in an n-Dimensional Hypersphere (https://www.mathworks.com/matlabcentral/fileexchange/9443-random-points-in-an-n-dimensional-hypersphere), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R10
Compatible with any release
Platform Compatibility
Windows macOS Linux

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