An algorithm to parametrize approximately space curves

DOI10.1016/j.jsc.2013.04.002zbMath1282.14103OpenAlexW1970784436MaRDI QIDQ2437227

Juan Rafael Sendra, Sendra, Juana, Sonia L. Rueda

Publication date: 3 March 2014

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2013.04.002

zbMATH Keywords

space curveHausdorff distancerational parametrization

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05)

Related Items

Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form ⋮ Bounding and estimating the Hausdorff distance between real space algebraic curves ⋮ Numerical proper reparametrization of parametric plane curves ⋮ Isotopic meshing of a real algebraic space curve ⋮ Asymptotes of space curves ⋮ Characterizing the finiteness of the Hausdorff distance between two algebraic curves ⋮ Rational Hausdorff divisors: a new approach to the approximate parametrization of curves ⋮ Implicit representations of high-codimension varieties

Uses Software

• CASA

Cites Work

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• Parametrization of approximate algebraic curves by lines
• Approximate parametrization of plane algebraic curves by linear systems of curves
• Certified approximation of parametric space curves with cubic \(B\)-spline curves
• Gröbner bases and primary decomposition of polynomial ideals
• Irreducible decomposition of algebraic varieties via characteristic sets and Gröbner bases
• Quantifier elimination and cylindrical algebraic decomposition. Proceedings of a symposium, Linz, Austria, October 6--8, 1993
• Polynomial algorithms in computer algebra
• Parameterization in finite precision
• Numerical parameterization of curves and surfaces
• Radical parametrizations of algebraic curves by adjoint curves
• Approximate factorization of multivariate polynomials using singular value decomposition
• Distance bounds of \(\varepsilon\)-points on hypersurfaces
• Parametrization of approximate algebraic surfaces by lines
• A regularization method for computing approximate invariants of plane curves singularities
• Approximating Algebraic Space Curves by Circular Arcs
• A Global Lojasiewicz Inequality for Algebraic Varieties
• A formula for separating small roots of a polynomial
• Numerical Polynomial Algebra