ISOTOPIC CONVERGENCE THEOREM

DOI10.1142/S0218216513500120zbMath1282.57029arXiv1210.1863OpenAlexW3098122359MaRDI QIDQ4922106

J. Li, Thomas J. Peters

Publication date: 28 May 2013

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1863

zbMATH Keywords

convergencevisualizationknotambient isotopyisotopytotal curvature

Mathematics Subject Classification ID

Isotopy and pseudo-isotopy (57N37) Discrete mathematics in relation to computer science (68R99) Isotopy in PL-topology (57Q37) Approximations in PL-topology (57Q55)

Related Items (4)

Computational topology: isotopic convergence to a stick knot ⋮ Computational topology for approximations of knots ⋮ Subdivision of Bézier curves for ambient isotopy in molecular modeling ⋮ Topological subtleties for molecular movies

Cites Work

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• Total curvature of graphs after Milnor and Euler
• Polyhedral perturbations that preserve topological form
• Preserving computational topology by subdivision of quadratic and cubic Bézier curves
• Modeling time and topology for animation and visualization with examples on parametric geometry
• An overview of offset curves and surfaces.
• Computational topology: Ambient isotopic approximation of 2-manifolds.
• Analysis and applications of pipe surfaces
• On the total curvature of knots
• On the smooth convergence of subdivision and degree elevation for Bézier curves

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