The parametrization of canal surfaces and the decomposition of polynomials into a sum of two squares

DOI10.1006/jsco.2001.0453zbMath1079.12501OpenAlexW2038212473MaRDI QIDQ597118

Franz Winkler, Josef Schicho, Günter Landsmann

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1006/jsco.2001.0453

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Surfaces in Euclidean and related spaces (53A05)

Related Items (10)

Medial axis transforms yielding rational envelopes ⋮ Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces ⋮ Recognizing implicitly given rational canal surfaces ⋮ On the parameterization of rational ringed surfaces and rational canal surfaces ⋮ Determining surfaces of revolution from their implicit equations ⋮ Rational fixed radius rolling ball blends between natural quadrics ⋮ Analytic and algebraic properties of canal surfaces ⋮ Rational Offset Surfaces and their Modeling Applications ⋮ The Landau-Hall problem on canal surfaces ⋮ Rational surfaces with linear normals and their convolutions with rational surfaces

Cites Work

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• Symbolic parametrization of curves
• Rational parametrization of surfaces
• Parametrization of algebraic curves over optimal field extensions
• Computing rational parametrizations of canal surfaces
• Symbolic parametrization of pipe and canal surfaces
• Factoring Polynomials over Algebraic Number Fields
• Factoring Multivariate Polynomials over Algebraic Number Fields

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