On tubular vs. swung surfaces

DOI10.1016/j.jsc.2014.12.003zbMath1321.65025OpenAlexW1998918550MaRDI QIDQ492023

Carlos Villarino, Tomás Recio, Juan Rafael Sendra, Luis Felipe Tabera

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2014.12.003

zbMATH Keywords

symbolic algorithmswung surfacetubular surface

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)

Uses Software

• CASA

Cites Work

• Implicitizing rational surfaces of revolution using \(\mu \)-bases
• Reparametrizing swung surfaces over the reals
• Rational algebraic curves. A computer algebra approach
• Real reparametrizations of real curves
• A rational function decomposition algorithm by near-separated polynomials
• Proper parametrization of real tubular surfaces