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  Higher Order Barycentric Coordinates

Langer, T., & Seidel, H.-P. (2008). Higher Order Barycentric Coordinates. In G. Drettakis, & R. Scopigno (Eds.), The European Association for Computer Graphics 29th Annual Conference, EUROGRAPHICS 2008 (pp. 459-466). Oxford: Blackwell.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1BD9-D Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1BDA-B
Genre: Conference Paper

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

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 Abstract: In recent years, a wide range of generalized barycentric coordinates has been suggested. However, all of them lack control over derivatives. We show how the notion of barycentric coordinates can be extended to specify derivatives at control points. This is also known as Hermite interpolation. We introduce a method to modify existing barycentric coordinates to higher order barycentric coordinates and demonstrate, using higher order mean value coordinates, that our method, although conceptually simple and easy to implement, can be used to give easy and intuitive control at interactive frame rates over local space deformations such as rotations.

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Language(s): eng - English
 Dates: 2009-03-252008
 Publication Status: Issued
 Pages: -
 Publishing info: Oxford : Blackwell
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 428145
DOI: 10.1111/j.1467-8659.2008.01143.x
URI: http://dx.doi.org/10.1111/j.1467-8659.2008.01143.x
Other: Local-ID: C125756E0038A185-637FCBB7F3F5A70FC12573CC00458C99-LangerEG08
 Degree: -

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Title: Untitled Event
Place of Event: Crete, Greece
Start-/End Date: 2008-04-14 - 2008-04-18

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Title: The European Association for Computer Graphics 29th Annual Conference, EUROGRAPHICS 2008
Source Genre: Proceedings
 Creator(s):
Drettakis, George, Editor
Scopigno, Roberto, Editor
Affiliations:
-
Publ. Info: Oxford : Blackwell
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 459 - 466 Identifier: -

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Title: Computer Graphics Forum
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -