Recognizing implicitly given rational canal surfaces

DOI10.1016/j.jsc.2015.08.003zbMath1359.14053arXiv1410.3628OpenAlexW2964326443MaRDI QIDQ898267

Jan Vršek, Miroslav Lávička

Publication date: 8 December 2015

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

Full work available at URL: https://arxiv.org/abs/1410.3628

zbMATH Keywords

algebraic surfacescyclicitycanal surfacesrational parameterizationsurface recognitionblending surfaces

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Surfaces in Euclidean and related spaces (53A05)

Related Items (1)

Symmetries of canal surfaces and Dupin cyclides

Cites Work

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• On the parameterization of rational ringed surfaces and rational canal surfaces
• Determining surfaces of revolution from their implicit equations
• The parametrization of canal surfaces and the decomposition of polynomials into a sum of two squares
• Blending of implicit surfaces with functional splines
• Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov
• Computing rational parametrizations of canal surfaces
• The multiple conical surfaces
• Automatic surface generation in computer aided design
• The implicit equation of a canal surface
• The displacement method for implicit blending surfaces in solid models
• \(G^{n}\)-continuous connections between normal ringed surfaces

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