Istituto di Scienza e Tecnologie dell'Informazione     
Cignoni P., Rocchini C. Generating random points in a tetrahedron. First ed. Ronen Barzel (ed.). Wellesley, MA: A. K. Peters Ltd., 2005.
This paper proposes a simple and e±cient technique to generate uniformly random points in a tetrahedron. The technique generates random points in a cube, and folds the cube into the barycentric space of the tetrahedron in a way that preserves uniformity.
Subject Computational geometry
I.3.5 Computational Geometry and Object Modeling

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