IMPLICITIZATION

作品数：8被引量：5H指数：1
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相关领域：理学更多>>
相关作者：王青蔺宏伟鲍虎军更多>>
相关机构：浙江大学更多>>
相关期刊：《Advances in Manufacturing》《Communications in Mathematics and Statistics》《Journal of Computational Mathematics》《Journal of Systems Science & Complexity》更多>>
相关基金：国家自然科学基金北京市自然科学基金国家重点基础研究发展计划更多>>
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An Algorithm to Compute the-Bases of Rational Parametric Surfaces with Respect to One Variable
《Communications in Mathematics and Statistics》2024年第3期523-541,共19页Bingru Huang Falai Chen 
supported by NSF of China(no.61972368).
The method of moving surfaces is an effective tool to implicitize rational parametric surfaces,and it has been extensively studied in the past two decades.An essential step in surface implicitization using the method ...
关键词：Rational surface IMPLICITIZATION μ-basis Polynomial matrix factorization 
A Survey of the Representations of Rational Ruled Surfaces
《Journal of Systems Science & Complexity》2021年第6期2357-2377,共21页YUAN Chun-Ming PEREZ-DIAZ Sonia SHEN Li-Yong 
supported by Beijing Natural Science Foundation under Grant No.Z190004;the National Natural Science Foundation of China under Grant No.61872332;the University of Chinese Academy of Sciences and by FEDER/Ministerio de Ciencia;Innovación y Universidades Agencia Estatal de Investigación/MTM2017-88796-P(Symbolic Computation:New challenges in Algebra and Geometry together with its applications);the Research Group ASYNACS(Ref.CCEE2011/R34)。
The rational ruled surface is a typical modeling surface in computer aided geometric design.A rational ruled surface may have different representations with respective advantages and disadvantages.In this paper,the au...
关键词：Birational transformation characterization IMPLICITIZATION PARAMETRIZATION rational ruled surface reparametrization 
An Improved Algorithm for Constructing Moving Quadrics from Moving Planes被引量：1
《Journal of Systems Science & Complexity》2017年第6期1483-1506,共24页LAI Yisheng CHEN Falai 
supported by the National Natural Science Foundation of China under Grant Nos.11271328and 11571338;the Zhejiang Provincial Natural Science Foundation under Grant No.Y7080068
This paper proposes an improved algorithm to construct moving quadrics from moving planes that follow a tensor product surface with no base points, assuming that there are no moving planes of low degree following the ...
关键词：IMPLICITIZATION moving plane moving quadric rational surface 
IMPLICITIZATION USING UNIVARIATE RESULTANTS被引量：2
《Journal of Systems Science & Complexity》2010年第4期804-814,共11页Liyong SHEN Chunming YUAN 
supported by the Natural Science Foundation of China under Grant No. 10901163;the Knowledge Innovation Program of the Chinese Academy of Sciences
Among several implicitization methods, the method based on resultant computation is a simple and direct one, but it often brings extraneous factors which are difficult to remove. This paper studies a class of rational...
关键词：IMPLICITIZATION rational space curves rational surfaces resultants. 
APPROXIMATE IMPLICITIZATION BASED ON RBF NETWORKS AND MQ QUASI-INTERPOLATION被引量：1
《Journal of Computational Mathematics》2007年第1期97-103,共7页Renhong Wang Jinming Wu 
Project supported by the National Natural Science Fbundation of China(No.10271022,No.60373093 and No.60533060).
In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness...
关键词：RBF networks MQ quasi-interpolation Approximate implicitization Rationalcurves 
IMPLICITIZATION OF PARTIAL DIFFERENTIAL RATIONAL PARAMETRIC EQUATIONS被引量：1
《Journal of Systems Science & Complexity》2006年第2期256-265,共10页Guangwei LI 
Research supported by the Foundation of Mathematics Mechanization;Its Applications in Information Technology(65432A0)of China.
In this paper, we propose algorithms for the following problems in the implicitization of a set of partial differential rational parametric equations P. （1）To find a characteristic set for the implicit prime ideal o...
关键词：IMPLICITIZATION partial differential rational parametric equations rational differential varieties unirational differential varieties. 
Quadratic Algebraic Curve Approximate Implicitization for Planar Parametric Curves
《Advances in Manufacturing》2000年第S1期16-20,共5页DING You-dong, LI Min, HUA Xuan-ji School of Computer Engineering and Shanghai University Shanghai 200072. China Department of Mathematics. Fudan University, Shanghai 200433, China 
the Younger Foundation of ShanghaiEducation Committee
In this paper, a type of preserving GC1 quadratic algebraic polynomial curve approximate implicitization method for parametric curves is presented The coefficients of the implicit polynomial are determined by the GC1...
关键词：parametric curve algebraic curve IMPLICITIZATION OPTIMIZATION 
VERIFYING THE IMPLICITIZATION FOR MULAE FORDEGREE n RATIONAL BEZIER CURVES
《Journal of Computational Mathematics》1999年第1期33-40,共8页Wang, GJ Sederberg, TW 
This is a continuation of short communication([1]). In [1] a verification of the implicitization equation for degree two rational Bezier curves is presented which does not require the use of resultants. This paper pre...
关键词：rational Bezier curve IMPLICITIZATION RESULTANT de Casteljau algorithm 
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