A predictor-corrector-type technique for the approximate parameterization of intersection curves

DOI10.1007/s00200-006-0031-8zbMath1192.65019OpenAlexW2025731534MaRDI QIDQ985367

Pavel Chalmovianský, Bert Jüttler

Publication date: 5 August 2010

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-006-0031-8

Mathematics Subject Classification ID

Plane and space curves (14H50) Approximation by rational functions (41A20) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17) Methods of successive quadratic programming type (90C55)

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Uses Software

• Axel

Cites Work

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• On the choice of pencils in the parametrization of curves
• Parametrization of algebraic curves over optimal field extensions
• Parameterization of algebraic space curves. Appendix
• Numerical mathematics 2. An introduction -- under consideration of lectures by F. L. Bauer.
• Normal parametrizations of algebraic plane curves
• Parameterization in finite precision
• Numerical parameterization of curves and surfaces
• Rational quadratic approximation to real algebraic curves
• Computation of the topology of real algebraic space curves
• Computing quadric surface intersections based on an analysis of plane cubic curves
• Numerical parameterization of affine varieties using
• Tracing index of rational curve parametrizations