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The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece |
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| Authors: | YiSheng Lai WeiPing Du RenHong Wang |
| Institution: | 1. Department of Information and Computing Science, Zhejiang Gongshang University, Hangzhou, 310018, China 2. Institute of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China |
| Abstract: | This paper proposes a new method for the construction of Bernstein-Bézier 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-Bézier algebraic hypersurface piece is also described. |
| Keywords: | Viro method Bernstein-Bézier polynomial Bernstein-Bézier algebraic hypersurface piece Newton polytope patchwork chart |
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