Asymptotes of space curves

DOI10.1016/j.cam.2014.10.013zbMath1306.14029arXiv1404.6380OpenAlexW1995985203MaRDI QIDQ475664

Angel Blasco, Sonia Pérez-Díaz

Publication date: 27 November 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6380

zbMATH Keywords

asymptotesinfinity branchesperfect curvesalgebraic space curveconvergent branches

Mathematics Subject Classification ID

Computational aspects of algebraic curves (14Q05) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

A simple formula for the computation of branches and asymptotes of curves and some applications ⋮ The T-function of a parametric curve ⋮ An effective algorithm for computing the asymptotes of an implicit curve ⋮ Computing branches and asymptotes of meromorphic functions ⋮ Design and implementation of symbolic algorithms for the computation of generalized asymptotes ⋮ Computing the form of highest degree of the implicit equation of a rational surface ⋮ Characterizing the finiteness of the Hausdorff distance between two algebraic curves ⋮ Numerical polynomial reparametrization of rational curves ⋮ A new approach for computing the asymptotes of a parametric curve ⋮ Determining the asymptotic family of an implicit curve

Uses Software

• CASA

Cites Work

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• Asymptotes and perfect curves
• Bounding and estimating the Hausdorff distance between real space algebraic curves
• Detecting symmetries of rational plane and space curves
• Computing the shapes arising in a family of space rational curves depending on one parameter
• Finding the topology of implicitly defined two algebraic plane curves
• Parametrization of approximate algebraic curves by lines
• Approximate parametrization of plane algebraic curves by linear systems of curves
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• Intersection of algebraic space curves
• Rational curves with polynomial parameterization
• An efficient method for analyzing the topology of plane real algebraic curves.
• Efficient topology determination of implicitly defined algebraic plane curves.
• A symbolic-numerical approach to approximate parameterizations of space curves using graphs of critical points
• Asymptotic behavior of an implicit algebraic plane curve
• An algorithm to parametrize approximately space curves
• Computation of the topology of real algebraic space curves
• Computing the asymptotes for a real plane algebraic curve

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