Computational topology: isotopic convergence to a stick knot

DOI10.1016/j.topol.2016.03.032zbMath1348.57011arXiv1603.08450OpenAlexW2963243711MaRDI QIDQ281736

J. Li, P. Zaffetti, Thomas J. Peters, Kirk E. Jordan

Publication date: 11 May 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08450

zbMATH Keywords

knotisotopymolecular simulationcomputer animation

Mathematics Subject Classification ID

Related Items

Subdivision of Bézier curves for ambient isotopy in molecular modeling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unknots with highly knotted control polygons
• Geometric inference for probability measures
• Polyhedral perturbations that preserve topological form
• Modeling time and topology for animation and visualization with examples on parametric geometry
• Computational topology: Ambient isotopic approximation of 2-manifolds.
• Analysis and applications of pipe surfaces
• Selfintersection of composite curves and surfaces
• Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
• Isotopic equivalence by Bézier curve subdivision for application to high performance computing
• Topological subtleties for molecular movies
• On the total curvature of knots
• EQUIVALENCE OF TOPOLOGICAL FORM FOR CURVILINEAR GEOMETRIC OBJECTS
• Topology and data
• Stick Numbers and Composition of Knots and Links
• Topology for Computing
• Computational Topology Counterexamples with 3D Visualization of Bezier Curves
• ISOTOPIC CONVERGENCE THEOREM
• A condition for isotopic approximation