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Conference Paper

Higher Order Barycentric Coordinates

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

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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.), EUROGRAPHICS 2008 (pp. 459-466). Oxford: Blackwell.


Cite as: https://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.