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  Mean value coordinates for arbitrary spherical polygons and polyhedra in $\mathbb{R}^{3}$

Belyaev, A., Langer, T., & Seidel, H.-P.(2006). Mean value coordinates for arbitrary spherical polygons and polyhedra in $\mathbb{R}^{3}$ (MPI-I-2006-4-010). Saarbrücken: Max-Planck-Institut für Informatik.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-671C-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-7958-B
Genre: Report

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MPI-I-2006-4-010.pdf (Any fulltext), 205KB
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 Creators:
Belyaev, Alexander1, Author              
Langer, Torsten1, Author              
Seidel, Hans-Peter1, Author              
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, escidoc:40047              

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 Abstract: Since their introduction, mean value coordinates enjoy ever increasing popularity in computer graphics and computational mathematics because they exhibit a variety of good properties. Most importantly, they are defined in the whole plane which allows interpolation and extrapolation without restrictions. Recently, mean value coordinates were generalized to spheres and to $\mathbb{R}^{3}$. We show that these spherical and 3D mean value coordinates are well-defined on the whole sphere and the whole space $\mathbb{R}^{3}$, respectively.

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Language(s): eng - English
 Dates: 2006
 Publication Status: Published in print
 Pages: 19 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: URI: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2006-4-010
Report Nr.: MPI-I-2006-4-010
BibTex Citekey: BelyaevLangerSeidel2006
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Title: Research Report / Max-Planck-Institut für Informatik
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