The Viro Method for Construction of Piecewise Algebraic Hypersurfaces
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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/690341 |
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| _version_ | 1832551445669347328 |
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| author | Yisheng Lai Weiping Du Renhong Wang |
| author_facet | Yisheng Lai Weiping Du Renhong Wang |
| author_sort | Yisheng Lai |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2672c328c6f242cc8477a58a59b36ed2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2672c328c6f242cc8477a58a59b36ed22025-02-03T06:01:20ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/690341690341The Viro Method for Construction of Piecewise Algebraic HypersurfacesYisheng Lai0Weiping Du1Renhong Wang2Department of Information and Computing Science, Zhejiang Gongshang University, Hangzhou 310018, ChinaDepartment of Information and Computing Science, Zhejiang Gongshang University, Hangzhou 310018, ChinaInstitute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaWe 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.http://dx.doi.org/10.1155/2013/690341 |
| spellingShingle | Yisheng Lai Weiping Du Renhong Wang The Viro Method for Construction of Piecewise Algebraic Hypersurfaces Abstract and Applied Analysis |
| title | The Viro Method for Construction of Piecewise Algebraic Hypersurfaces |
| title_full | The Viro Method for Construction of Piecewise Algebraic Hypersurfaces |
| title_fullStr | The Viro Method for Construction of Piecewise Algebraic Hypersurfaces |
| title_full_unstemmed | The Viro Method for Construction of Piecewise Algebraic Hypersurfaces |
| title_short | The Viro Method for Construction of Piecewise Algebraic Hypersurfaces |
| title_sort | viro method for construction of piecewise algebraic hypersurfaces |
| url | http://dx.doi.org/10.1155/2013/690341 |
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