[RNG-135] TetrahedronSampler: Sample uniformly from a tetrahedron

• Type: New Feature
• Status: Closed
• Priority: Minor
• Resolution: Implemented
• Affects Version/s: 1.4
• Fix Version/s: 1.4
• Component/s: sampling
• Assignee: Alex Herbert
• Reporter: Alex Herbert
• Created: 01/May/21 13:03
• Updated: 13/Sep/21 10:41
• Resolved: 11/May/21 21:46

Description

Create a sampler to sample uniformly within a tetrahedron.
 

public abstract class TetrahedronSampler implements 
        SharedStateSampler<TetrahedronSampler> {
    public static TetrahedronSampler of(double[] a,
                                        double[] b,
                                        double[] c,
                                        double[] d,
                                        UniformRandomProvider rng);
}

Inputs a,b,c,d are the vertices.

Sampling can be performed using the algorithm of:

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

DOI: 10.1080/10867651.2000.10487528

Issue Links

• is a child of: RNG-132 Package rng.sampling.shape for sampling coordinates from shapes