Barycentric coordinates for convex polytopes

@article{Warren1996BarycentricCF,
  title={Barycentric coordinates for convex polytopes},
  author={Joe D. Warren},
  journal={Adv. Comput. Math.},
  year={1996},
  volume={6},
  pages={97-108}
}
An extension of the standard barycentric coordinate functions for simplices to arbitrary convex polytopes is described. The key to this extension is the construction, for a given convex polytope, of a unique polynomial associated with that polytope. This polynomial, the adjoint of the polytope, generalizes a previous two-dimensional construction described by Wachspress. The barycentric coordinate functions for the polytope are rational combinations of adjoints of various dual cones associated… CONTINUE READING
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