Barycentric coordinates for convex polytopes

  title={Barycentric coordinates for convex polytopes},
  author={Joe D. Warren},
  journal={Adv. Comput. Math.},
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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A Rational Finite Element Basis

  • Eugene Wachspress
  • Academic Press,
  • 1975
Highly Influential
13 Excerpts

Some recent results on convex polytopes

  • C. W. Lee
  • manuscript,
  • 1989
Highly Influential
3 Excerpts

John Wiley and Sons

  • Branko Grunbaum. Convex Polytopes
  • London,
  • 1967
1 Excerpt

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