Using Smith normal forms and μ-bases to compute all the singularities of rational planar curves-Reference-Cited by-同舟云学术

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Using Smith normal forms and μ-bases to compute all the singularities of rational planar curves

Published:2012-08 Issue:6 Volume:29 Page:296-314
ISSN:0167-8396
Container-title:Computer Aided Geometric Design
language:en
Short-container-title:Computer Aided Geometric Design

Author:

Jia Xiaohong,Goldman Ron

Publisher

Elsevier BV

Subject

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

Reference19 articles.

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

2. Regularity criteria for the topology of algebraic curves and surfaces;Alberti,2007

3. Visualisation of implicit algebraic curves;Alberti,2007

4. The μ-basis of a planar rational curve — properties and computation;Chen;Graphical Models,2003

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Algorithm to Compute the $$\mu $$-Bases of Rational Parametric Surfaces with Respect to One Variable;Communications in Mathematics and Statistics;2023-02-13

2. Singularity Computation for Rational Parametric Surfaces Using Moving Planes;ACM Transactions on Graphics;2022-10-03

3. Computing μ-Bases of Univariate Polynomial Matrices Using Polynomial Matrix Factorization;Journal of Systems Science and Complexity;2021-01-12

4. μ-Bases for rational canal surfaces;Computer Aided Geometric Design;2019-02

5. An in depth analysis, via resultants, of the singularities of a parametric curve;Computer Aided Geometric Design;2019-01

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