CAGD
2005
14 years 10 days ago
2005
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 th...
CGF
2008
14 years 16 days 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...
CGF
2008
14 years 16 days ago
2008
In recent years, a wide range of generalized barycentric coordinates has been suggested. However, all of them lack control over derivatives. We show how the notion of barycentric ...
CG
2008
Springer
14 years 16 days ago
2008
Springer
Homogeneous coordinates are often used in computer graphics and computer vision applications especially for the representation of geometric transformations. The homogeneous coordi...
CGF
2010
14 years 17 days ago
2010
We propose a new family of barycentric coordinates that have closed-forms for arbitrary 2D polygons. These coordinates are easy to compute and have linear precision even for open ...
ADCM
2007
14 years 17 days ago
2007
In this paper we provide an extension of barycentric coordinates from simplices to arbitrary convex sets. Barycentric coordinates over convex 2D polygons have found numerous appli...