Implicitizing ruled translational surfaces

DOI10.1016/j.cagd.2017.11.001zbMath1381.65017OpenAlexW2767209261MaRDI QIDQ1693681

Ronald N. Goldman, Hao Hao Wang

Publication date: 31 January 2018

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2017.11.001

zbMATH Keywords

ruled surface\(\mu\)-basissyzygyimplicit equationtranslational surfacerational tensor product surface

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Syzygies, resolutions, complexes in associative algebras (16E05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

A survey of the representations of rational ruled surfaces ⋮ Affine equivalences of surfaces of translation and minimal surfaces, and applications to symmetry detection and design

Uses Software

• Maple

Cites Work

• Unnamed Item
• Computing self-intersection curves of rational ruled surfaces
• A computational study of ruled surfaces
• Revisiting the \(\mu\)-basis of a rational ruled surface.
• Syzygies for translational surfaces
• Translation surfaces and isotropic transport nets on rational minimal surfaces
• Reparametrization of a rational ruled surface using the \(\mu\)-basis
• Singularities of ruled surfaces in ℝ³
• Parametrization of translational surfaces
• The \(\mu\)-basis of a rational ruled surface

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