The Viro Method for Construction of  Piecewise Algebraic Hypersurfaces

Yisheng Lai; Weiping Du; Renhong Wang

doi:10.1155/2013/690341

Abstract and Applied Analysis (Jan 2013)

The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

Yisheng Lai,
Weiping Du,
Renhong Wang

Affiliations

Yisheng Lai: Department of Information and Computing Science, Zhejiang Gongshang University, Hangzhou 310018, China
Weiping Du: Department of Information and Computing Science, Zhejiang Gongshang University, Hangzhou 310018, China
Renhong Wang: Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China

DOI: https://doi.org/10.1155/2013/690341
Journal volume & issue: Vol. 2013

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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