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Conference Paper

Mean Value Bézier Surfaces

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

/persons/resource/persons45449

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

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https://rdcu.be/dIMjy
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Citation

Langer, T., & Seidel, H.-P. (2007). Mean Value Bézier Surfaces. In R. Martin, M. Sabin, & J. Winkler (Eds.), Mathematics of Surfaces XII (pp. 263-274). Berlin, Germany: Springer.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-1FD0-1
Abstract
B\'ezier surfaces are an important design tool in Computer Aided Design.
They are parameterized surfaces where the parameterization can be represented
as a homogeneous polynomial in barycentric coordinates.
Usually, Wachspress coordinates are used to obtain tensor product B\'ezier
surfaces over rectangular domains.
Recently, Floater introduced mean value coordinates as an alternative to
Wachspress coordinates.
When used to construct B\'ezier patches, they offer additional control points
without
raising the polynomial degree. We investigate the potential of mean value
coordinates
to design mean value B\'ezier surfaces.