6 search results - page 1 / 2 » A general geometric construction of coordinates in a convex ... |
CAGD
2007
13 years 4 months ago
2007
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
DCG
2008
13 years 4 months ago
2008
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
JCT
2006
13 years 4 months ago
2006
We construct a new 2-parameter family Emn, m, n 3, of self-dual 2-simple and 2-simplicial 4-polytopes, with flexible geometric realisations. E44 is the 24-cell. For large m, n the...
CGF
2008
13 years 4 months ago
2008
Barycentric coordinates can be used to express any point inside a triangle as a unique convex combination of the triangle's vertices, and they provide a convenient way to lin...
COMPGEOM
2007
ACM
13 years 8 months ago
2007
ACM
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...