English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Conference Paper

On Transfinite Barycentric Coordinates

MPS-Authors
/persons/resource/persons44112

Belyaev,  Alexander
Computer Graphics, MPI for Informatics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Belyaev, A. (2006). On Transfinite Barycentric Coordinates. In SGP 2006: Fourth Eurographics/ACM SIGGRAPH Symposium on Geometry Processing (pp. 89-99). Aire-la-Ville, Switzerland: Eurographics.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-23A7-D
Abstract
A general construction of trans_nite 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 trans_nite counterparts of discrete harmonic and Wachspress-Warren coordinates are studied as particular cases of that general construction. Motivated by _nite element/volume applications, we study capabilities of trans_nite barycentric interpolation schemes to approximate harmonic and quasi-harmonic functions. Finally we establish and analyze links between trans_nite barycentric coordinates and certain inverse problems of di_erential and convex geometry.