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Conference Paper

Higher Order Barycentric Coordinates

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44882

Langer,  Torsten
Computer Graphics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45449

Seidel,  Hans-Peter
Computer Graphics, MPI for Informatics, Max Planck Society;

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Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-1BD9-D
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.