The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece

Authors :: Yisheng Lai
Ren-Hong Wang
Weiping Du
Source :: Science China Mathematics. 55:1269-1279
Publication Year :: 2012
Publisher :: Springer Science and Business Media LLC, 2012.
Abstract: This paper proposes a new method for the construction of Bernstein-Bezier algebraic hypersurface on a simplex with prescribed topology. The method is based on the combinatorial patchworking of Viro method. The topology of the Viro Bernstein-Bezier algebraic hypersurface piece is also described.

Subjects :: Algebra
Computer Science::Graphics
Mathematics::Algebraic Geometry
Hypersurface
Simplex
Mathematics::Quantum Algebra
General Mathematics
Bézier curve
Algebraic number
Topology
Mathematics::Geometric Topology
Topology (chemistry)
Mathematics

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