Name
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. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.cagd.2005.06.004 | Computer Aided Geometric Design |
Keywords | Field | DocType |
barycentric coordinates,planar polygon,mean value,mean value theorem,parameterization,convex combination,mean value theorem.,interpolate data,star-shaped polyhedron,piecewise linear,triangular mesh | Topology,Combinatorics,Log-polar coordinates,Bipolar coordinates,Action-angle coordinates,Orthogonal coordinates,Generalized coordinates,Plücker coordinates,Trilinear coordinates,Mathematics,Barycentric coordinate system | Journal |
Volume | Issue | ISSN |
22 | 7 | Computer Aided Geometric Design |
Citations | PageRank | References |
100 | 4.93 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael S. Floater | 1 | 1333 | 117.22 |
| G. Kos | 2 | 287 | 19.43 |
| Martin Reimers | 3 | 188 | 10.82 |