The Viro Method for Construction of Piecewise Algebraic Hypersurfaces
Author(s) -
Yisheng Lai,
Weiping Du,
Ren-Hong Wang
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/690341
Subject(s) - hypersurface , mathematics , piecewise , smoothness , simplex , algebraic number , pure mathematics , construct (python library) , degree (music) , algebraic surface , real algebraic geometry , topology (electrical circuits) , algebra over a field , mathematical analysis , combinatorics , computer science , physics , acoustics , programming language
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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