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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 690341, 7 pages
Research Article

The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

1Department of Information and Computing Science, Zhejiang Gongshang University, Hangzhou 310018, China
2Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

Received 30 July 2013; Accepted 22 August 2013

Academic Editor: Lawrence Narici

Copyright © 2013 Yisheng Lai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.