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» Higher Order Barycentric Coordinates
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CGF
2008
107views more  CGF 2008»
13 years 5 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
ADCM
2007
134views more  ADCM 2007»
13 years 5 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...
VISUALIZATION
2005
IEEE
13 years 10 months ago
Rendering Tetrahedral Meshes with Higher-Order Attenuation Functions for Digital Radiograph Reconstruction
This paper presents a novel method for computing simulated x-ray images, or DRRs (digitally reconstructed radiographs), of tetrahedral meshes with higher-order attenuation functio...
Ofri Sadowsky, Jonathan D. Cohen, Russell H. Taylo...
CGF
2008
126views more  CGF 2008»
13 years 5 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
CAGD
2007
86views more  CAGD 2007»
13 years 4 months ago
A general geometric construction of coordinates in a convex simplicial polytope
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...
Tao Ju, Peter Liepa, Joe D. Warren