Using implicit equations of parametric curves and surfaces without computing them: Polynomial algebra by values-Reference-Cited by-同舟云学术

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Using implicit equations of parametric curves and surfaces without computing them: Polynomial algebra by values

Published:2013-01 Issue:1 Volume:30 Page:116-139
ISSN:0167-8396
Container-title:Computer Aided Geometric Design
language:en
Short-container-title:Computer Aided Geometric Design

Author:

Diaz-Toca Gema M.,Fioravanti Mario,Gonzalez-Vega Laureano,Shakoori Azar

Publisher

Elsevier BV

Subject

Computer Graphics and Computer-Aided Design,Aerospace Engineering,Automotive Engineering,Modelling and Simulation

Reference47 articles.

1. Algebraic Geometry for Scientists and Engineers;Abhyankar,1990

2. Amiraslani, A., 2006. Algorithms for matrices, polynomials, and matrix polynomials. PhD thesis. University of Western Ontario, London, Canada.

3. Amiraslani, A., Aruliah, D.A., Corless, R.M., 2006. The Rayleigh quotient iteration for generalized companion matrix pencils. Preprint.

4. Geometric applications of the Bézout matrix in the Lagrange basis;Aruliah,2007

5. Matrices: Methods and Applications;Barnett,1990

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1. Approximate GCD in Lagrange bases;2020 22nd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC);2020-09

2. Efficient computation of dual space and directional multiplicity of an isolated point;Computer Aided Geometric Design;2016-10

3. Implicitization of rational hypersurfaces via linear syzygies: A practical overview;Journal of Symbolic Computation;2016-05

4. Computing the common zeros of two bivariate functions via Bézout resultants;Numerische Mathematik;2014-05-09

5. Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”;Computer Aided Geometric Design;2013-10

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