Barycentric coordinates for convex polytopes |
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Authors: | Joe Warren |
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Institution: | (1) Department of Computer Science, Rice University, 77001 Houston, TX, USA |
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Abstract: | 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, theadjoint 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 with the polytope. |
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