Analysis and construction of rational curve parametrizations with non-ordinary singularities

DOI10.1016/j.cagd.2018.08.002zbMath1439.14173OpenAlexW2890662175MaRDI QIDQ668991

Sonia Pérez-Díaz

Publication date: 20 March 2019

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2018.08.002

zbMATH Keywords

algebraic curvenon-ordinary singularityrational curve parametrizationsingularities of an algebraic curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

A simple formula for the computation of branches and asymptotes of curves and some applications

Uses Software

• CASA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Using Smith normal forms and \(\mu\)-bases to compute all the singularities of rational planar curves
• Computational approach to Riemann surfaces.
• \(\mu \)-bases and singularities of rational planar curves
• Matrix-based implicit representations of rational algebraic curves and applications
• Axial moving lines and singularities of rational planar curves
• Detecting real singularities of a space curve from a real rational parametrization
• Nonlinear computational geometry. Papers presented at the workshop, Minneapolis, MN, USA, May 29--June 2, 2007
• Parametric algebraic curves and applications. Session of the IMACS-ACA conference, University of New Mexico, Albuquerque, NM, USA, May 1995
• Computing all parametric solutions for blending parametric surfaces
• Effective computation of singularities of parametric affine curves
• Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces
• Singularities of plane rational curves via projections
• Singular factors of rational plane curves
• Normal parametrizations of algebraic plane curves
• Using a bihomogeneous resultant to find the singularities of rational space curves
• Computation of the singularities of parametric plane curves
• Computing singular points of plane rational curves
• On the problem of proper reparametrization for rational curves and surfaces
• The 𝐷-resultant, singularities and the degree of unfaithfulness
• $D$-resultant for rational functions
• Computing the singularities of rational surfaces

This page was built for publication: Analysis and construction of rational curve parametrizations with non-ordinary singularities