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» A general construction of barycentric coordinates over conve...
101views more  ADCM 2006»
13 years 5 months ago
A general construction of barycentric coordinates over convex polygons
Barycentric coordinates are unique for triangles, but there are many possible generalizations to convex polygons. In this paper we derive sharp upper and lower bounds on all baryc...
Michael S. Floater, Kai Hormann, Géza K&oac...
85views more  ADCM 2010»
13 years 5 months ago
On the injectivity of Wachspress and mean value mappings between convex polygons
Wachspress and mean value coordinates are two generalizations of triangular barycentric coordinates to convex polygons and have recently been used to construct mappings between po...
Michael S. Floater, Jirí Kosinka
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...
89views more  CAGD 2005»
13 years 5 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...
86views more  CAGD 2007»
13 years 5 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