On Transfinite Barycentric Coordinates

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Date
2006
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
A general construction of transfinite barycentric coordinates is obtained as a simple and natural generalization of Floater's mean value coordinates [Flo03, JSW05b]. The Gordon-Wixom interpolation scheme [GW74] and transfinite counterparts of discrete harmonic and Wachspress-Warren coordinates are studied as particular cases of that general construction. Motivated by finite element/volume applications, we study capabilities of transfinite barycentric interpolation schemes to approximate harmonic and quasi-harmonic functions. Finally we establish and analyze links between transfinite barycentric coordinates and certain inverse problems of differential and convex geometry.
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@inproceedings{
:10.2312/SGP/SGP06/089-099
, booktitle = {
Symposium on Geometry Processing
}, editor = {
Alla Sheffer and Konrad Polthier
}, title = {{
On Transfinite Barycentric Coordinates
}}, author = {
Belyaev, Alexander
}, year = {
2006
}, publisher = {
The Eurographics Association
}, ISSN = {
1727-8384
}, ISBN = {
3-905673-24-X
}, DOI = {
/10.2312/SGP/SGP06/089-099
} }
Citation