Using a bihomogeneous resultant to find the singularities of rational space curves

DOI10.1016/j.jsc.2012.09.005zbMath1268.14053OpenAlexW2092800559MaRDI QIDQ1946962

Xiaohong Jia, Xiaoran Shi, Ronald N. Goldman

Publication date: 10 April 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2012.09.005

zbMATH Keywords

singularitiesintersection numberresultant matrix\(\mu \)-basisrational space curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20)

Related Items (12)

Strong $\mu$-Bases for Rational Tensor Product Surfaces and Extraneous Factors Associated to Bad Base Points and Anomalies at Infinity ⋮ Using moving planes to implicitize rational surfaces generated from a planar curve and a space curve ⋮ Strata of rational space curves ⋮ Syzygies for translational surfaces ⋮ The T-function of a parametric curve ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ Role of moving planes and moving spheres following Dupin cyclides ⋮ Projective and affine symmetries and equivalences of rational curves in arbitrary dimension ⋮ The limit point and the T-function ⋮ Analysis and construction of rational curve parametrizations with non-ordinary singularities ⋮ An in depth analysis, via resultants, of the singularities of a parametric curve ⋮ Hybrid second order method for orthogonal projection onto parametric curve in \(n\)-dimensional Euclidean space

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