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CAGD
2005
89views more  CAGD 2005»
8 years 10 months ago
Mean value coordinates in 3D
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...
Michael S. Floater, Géza Kós, Martin...
CGF
2008
126views more  CGF 2008»
8 years 10 months ago
Maximum Entropy Coordinates for Arbitrary Polytopes
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...
K. Hormann, N. Sukumar
CGF
2008
107views more  CGF 2008»
8 years 10 months ago
Higher Order Barycentric Coordinates
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 ...
Torsten Langer, Hans-Peter Seidel
CG
2008
Springer
8 years 10 months ago
Barycentric coordinates computation in homogeneous coordinates
Homogeneous coordinates are often used in computer graphics and computer vision applications especially for the representation of geometric transformations. The homogeneous coordi...
Václav Skala
CGF
2010
128views more  CGF 2010»
8 years 10 months ago
Moving Least Squares Coordinates
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 ...
Josiah Manson, Scott Schaefer
ADCM
2007
134views more  ADCM 2007»
8 years 10 months ago
Barycentric coordinates for convex sets
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...
Joe D. Warren, Scott Schaefer, Anil N. Hirani, Mat...
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