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  Mean Value Coordinates for Arbitrary Spherical Polygons and Polyhedra in IR3

Langer, T., Belyaev, A., & Seidel, H.-P. (2007). Mean Value Coordinates for Arbitrary Spherical Polygons and Polyhedra in IR3. In P. Chenin, T. Lyche, & L. L. Schumaker (Eds.), Curve and Surface Design: Avignon 2006 (pp. 193-202). Brentwood, TN, USA: Nashboro Press.

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 Creators:
Langer, Torsten1, Author           
Belyaev, Alexander1, Author           
Seidel, Hans-Peter1, Author           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Abstract: Since their introduction, mean value coordinates have enjoyed 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: 2008-03-282007
 Publication Status: Issued
 Pages: -
 Publishing info: Brentwood, TN, USA : Nashboro Press
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 356602
Other: Local-ID: C12573CC004A8E26-371F4C8E05400F5FC125729100620364-LangerCS2007
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Title: Untitled Event
Place of Event: Avignon, France
Start-/End Date: 2006-06-29 - 2006-07-05

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Title: Curve and Surface Design: Avignon 2006
Source Genre: Proceedings
 Creator(s):
Chenin, Patrick, Editor
Lyche, Tom, Editor
Schumaker, Larry L., Editor
Affiliations:
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Publ. Info: Brentwood, TN, USA : Nashboro Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 193 - 202 Identifier: ISBN: 978-0-9728482-7-5

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Title: Modern Methods in Mathematics
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