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 topolog...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.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos.11071031,60533060,11101366,10771189)the NSFC-Guangdong Joint Fund (Grant No. U0935004)the Zhejiang Provincial Natural Science Foundation (Grant Nos. Y7080068,Y6100126)
文摘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.
