The Viro Method for Construction of C r Piecewise Algebraic Hypersurfaces

Yisheng Lai; Weiping Du; Renhong Wang

doi:10.1155/2013/690341

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI57 > Article

2013 The Viro Method for Construction of

{C}^{r}

Piecewise Algebraic Hypersurfaces

Yisheng Lai, Weiping Du, Renhong Wang

Abstr. Appl. Anal. 2013(SI57): 1-7 (2013). DOI: 10.1155/2013/690341

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Abstract

We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic hypersurface piece on a simplex.

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Yisheng Lai. Weiping Du. Renhong Wang. "The Viro Method for Construction of ${C}^{r}$ Piecewise Algebraic Hypersurfaces." Abstr. Appl. Anal. 2013 (SI57) 1 - 7, 2013. https://doi.org/10.1155/2013/690341