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  On Transfinite Barycentric Coordinates

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-23A7-D Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-23A8-B
Genre: Conference Paper

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 Creators:
Belyaev, Alexander1, Author           
Sheffer, Alla, Editor
Polthier, Konrad, Editor
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 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.

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Language(s): eng - English
 Dates: 2007-03-092006
 Publication Status: Issued
 Pages: -
 Publishing info: Aire-la-Ville, Switzerland : Eurographics
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 314456
Other: Local-ID: C125675300671F7B-3E72F6E139349206C125725900447037-Belyaev_sgp06b
 Degree: -

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Title: Untitled Event
Place of Event: Cagliari, Sardinia, Italy
Start-/End Date: 2006-06-26

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Title: SGP 2006 : Fourth Eurographics/ACM SIGGRAPH Symposium on Geometry Processing
Source Genre: Proceedings
 Creator(s):
Affiliations:
Publ. Info: Aire-la-Ville, Switzerland : Eurographics
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 89 - 99 Identifier: ISBN: 3-905673-36-3