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» Barycentric coordinates for convex sets
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CGF
2008
126views more  CGF 2008»
13 years 4 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
WILF
2009
Springer
216views Fuzzy Logic» more  WILF 2009»
13 years 11 months ago
Barycentric Algebras and Gene Expression
Barycentric algebras have seen widespread application in the modeling of convex sets, semilattices, and quantum mechanics. Recently, they were developed further to encompass Boolea...
Anna B. Romanowska, Jonathan D. H. Smith
SMA
2010
ACM
219views Solid Modeling» more  SMA 2010»
13 years 5 months ago
Barycentric interpolation and mappings on smooth convex domains
In a recent paper, Warren, Schaefer, Hirani, and Desbrun proposed a simple method of interpolating a function defined on the boundary of a smooth convex domain, using an integral ...
Michael S. Floater, Jirí Kosinka
IMAMS
2007
151views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Discrete Harmonic Functions from Local Coordinates
Abstract. In this work we focus on approximations of continuous harmonic functions by discrete harmonic functions based on the discrete Laplacian in a triangulation of a point set....
Tom Bobach, Gerald E. Farin, Dianne Hansford, Geor...
VISUALIZATION
2000
IEEE
13 years 9 months ago
Constructing material interfaces from data sets with volume-fraction information
We present a new algorithm for material boundary interface reconstruction from data sets containing volume fractions. We transform the reconstruction problem to a problem that ana...
Kathleen S. Bonnell, Kenneth I. Joy, Bernd Hamann,...