Computational topology for approximations of knots

DOI10.4995/agt.2014.2281zbMath1300.57024arXiv1401.3370OpenAlexW2964071703MaRDI QIDQ2922057

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

Publication date: 9 October 2014

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3370

zbMATH Keywords

subdivisionambient isotopyBézier curvepiecewise linear approximationknot approximation

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) General geometric structures on low-dimensional manifolds (57M50) Spline approximation (41A15) Isotopy in PL-topology (57Q37) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Cites Work

• Unnamed Item
• Unnamed Item
• Adaptive isotopic approximation of nonsingular curves: The parameterizability and nonlocal isotopy approach
• Polyhedral perturbations that preserve topological form
• Preserving computational topology by subdivision of quadratic and cubic Bézier curves
• Topologically reliable approximation of composite Bézier curves
• Computational topology: Ambient isotopic approximation of 2-manifolds.
• Analysis and applications of pipe surfaces
• Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
• On the total curvature of knots
• Differential Topology
• Computational Topology Counterexamples with 3D Visualization of Bezier Curves
• ISOTOPIC CONVERGENCE THEOREM
• A condition for isotopic approximation
• On the smooth convergence of subdivision and degree elevation for Bézier curves

This page was built for publication: Computational topology for approximations of knots