Using Smith normal forms and \(\mu\)-bases to compute all the singularities of rational planar curves
type: Item
instance of: scholarly article
title: Using Smith normal forms and \(\mu\)-bases to compute all the singularities of rational planar curves
zbMATH Open document ID: 1298.65028
author: Xiaohong Jia
author: Ron Goldman
published in: Computer Aided Geometric Design
publication date: 2012-09-11T00:00:00Z
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 14Q05
Mathematics Subject Classification ID: 14H20
zbMATH DE Number: 6080932
zbMATH Keywords: rational planar curve
zbMATH Keywords: singularities
zbMATH Keywords: infinitely near points
zbMATH Keywords: blow-up
zbMATH Keywords: intersection multiplicity
zbMATH Keywords: \(\mu\)-basis
MaRDI profile type: Publication
full work available at URL: j.cagd.2012.02.001
OpenAlex ID: W1819431723
cites work: Q3491708
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cites work: Barnett's theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices
cites work: Q4891079
cites work: \(\mu \)-bases and singularities of rational planar curves
cites work: Inertia characteristics of self-adjoint matrix polynomials
cites work: On the problem of proper reparametrization for rational curves and surfaces
cites work: Singular points of algebraic curves
cites work: An Inequality for Invariant Factors
cites work: Q5799167
cites work: Expansion of det(A+B) and robustness analysis of uncertain state space systems
DOI: 10.1016/J.CAGD.2012.02.001
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reviewed by: Costică Moroşanu
description: scientific article; zbMATH DE number 6080932