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CG
2008
Springer
13 years 4 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»
13 years 4 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
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
JCAM
2010
108views more  JCAM 2010»
12 years 11 months ago
Lattices on simplicial partitions
In this paper, (d + 1)-pencil lattices on simplicial partitions in Rd are studied. The barycentric approach naturally extends the lattice from a simplex to a simplicial partition,...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
SMA
2010
ACM
219views Solid Modeling» more  SMA 2010»
13 years 4 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