Unknots with highly knotted control polygons

DOI10.1016/j.cagd.2011.01.001zbMath1218.65016OpenAlexW1986838382MaRDI QIDQ543845

J. Bisceglio, Carlo H. Séquin, Thomas J. Peters, John A. Roulier

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.01.001

zbMATH Keywords

knotsBézier curvesisotopycontrol polygon

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Computational topology: isotopic convergence to a stick knot, Isotopic equivalence by Bézier curve subdivision for application to high performance computing, D3AdvM: A direct 3D adversarial sample attack inside mesh data, Subdivision of Bézier curves for ambient isotopy in molecular modeling, Exact Computation for Existence of a Knot Counterexample, Topological subtleties for molecular movies

Cites Work

• Preserving computational topology by subdivision of quadratic and cubic Bézier curves
• Modeling time and topology for animation and visualization with examples on parametric geometry
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