Mean Value Bézier Surfaces

Langer, Torsten; Seidel, Hans-Peter

doi:10.1007/978-3-540-73843-5_16

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Mean Value Bézier Surfaces

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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. (2007). Mean Value Bézier Surfaces. In R. Martin, M. Sabin, & J. Winkler (Eds.), Mathematics of Surfaces XII: 12th IMA International Conference (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.