On the parameterization of rational ringed surfaces and rational canal surfaces
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Publication:475418
DOI10.1007/s11786-014-0192-yzbMath1302.65047OpenAlexW2006084376WikidataQ56475184 ScholiaQ56475184MaRDI QIDQ475418
Miroslav Lávička, Zbyněk Šír, Bert Jüttler, Tino Schulz, Bohumír Bastl
Publication date: 27 November 2014
Published in: Mathematics in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11786-014-0192-y
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (4)
Medial axis transforms yielding rational envelopes ⋮ Surfaces that are covered by two pencils of circles ⋮ Recognizing implicitly given rational canal surfaces ⋮ \(\mu\)-bases for rational canal surfaces
Cites Work
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- Darboux cyclides and webs from circles
- Curvature line parametrized surfaces and orthogonal coordinate systems: discretization with Dupin cyclides
- The parametrization of canal surfaces and the decomposition of polynomials into a sum of two squares
- Pipe surfaces with rational spine curve are rational
- Rational curves and surfaces with rational offsets
- Minimal rational parametrizations of canal surfaces
- Blending two cones with Dupin cyclides
- A new intersection algorithm for cyclides and swept surfaces using circle decomposition
- Computing rational parametrizations of canal surfaces
- Parametric generalized offsets to hypersurfaces
- Applications of Laguerre geometry in CAGD
- Studying cyclides with Laguerre geometry
- The implicit equation of a canal surface
- Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
- Minimal families of curves on surfaces
- The Intersection of Two Ringed Surfaces and Some Related Problems
- Cyclides
- \(G^{n}\)-continuous connections between normal ringed surfaces
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