Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10335672 | Computer Aided Geometric Design | 2005 | 9 Pages |
Abstract
Barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at the vertices. In this paper we generalize these coordinates to convex polyhedra and the kernels of star-shaped polyhedra. These coordinates generalize in a natural way a recently constructed set of coordinates for planar polygons, called mean value coordinates.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Michael S. Floater, Géza Kós, Martin Reimers,