[jira] [Created] (RNG-135) TetrahedronSampler: Sample uniformly from a tetrahedron

["Alex Herbert (Jira)" <ji...@apache.org>]

Alex Herbert created RNG-135:
--------------------------------

             Summary: TetrahedronSampler: Sample uniformly from a tetrahedron
                 Key: RNG-135
                 URL: https://issues.apache.org/jira/browse/RNG-135
             Project: Commons RNG
          Issue Type: New Feature
          Components: sampling
    Affects Versions: 1.4
            Reporter: Alex Herbert
            Assignee: Alex Herbert


Create a sampler to sample uniformly within a [tetrahedron|https://en.wikipedia.org/wiki/Tetrahedron].
 
{code:java}
public abstract class TetrahedronSampler implements 
        SharedStateSampler<TetrahedronSampler> {
    public static TetrahedronSampler of(double[] a,
                                        double[] b,
                                        double[] c,
                                        double[] d,
                                        UniformRandomProvider rng);
}
{code}
Inputs {{a,b,c,d}} are the vertices.

Sampling can be performed using the algorithm of:

{noformat}
Rocchini, C & Cignoni, P (2001)
Generating Random Points in a Tetrahedron.
Journal of Graphics Tools 5(4), pp 9-12.
{noformat}

[DOI: 10.1080/10867651.2000.10487528|https://dx.doi.org/10.1080/10867651.2000.10487528]




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