Abstract
Bézier 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 Bézier surfaces over rectangular domains. Recently, Floater introduced mean value coordinates as an alternative to Wachspress coordinates. When used to construct Bézier patches, they offer additional control points without raising the polynomial degree. We investigate the potential of mean value coordinates to design mean value Bézier surfaces.
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© 2007 Springer-Verlag Berlin Heidelberg
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Langer, T., Seidel, HP. (2007). Mean Value Bézier Surfaces. In: Martin, R., Sabin, M., Winkler, J. (eds) Mathematics of Surfaces XII. Mathematics of Surfaces 2007. Lecture Notes in Computer Science, vol 4647. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73843-5_16
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DOI: https://doi.org/10.1007/978-3-540-73843-5_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73842-8
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