Isotopic equivalence by Bézier curve subdivision for application to high performance computing
From MaRDI portal
Publication:1632292
DOI10.1016/j.cagd.2014.07.002zbMath1417.68239OpenAlexW2030337998MaRDI QIDQ1632292
J. Li, John A. Roulier, Thomas J. Peters, Kirk E. Jordan
Publication date: 14 December 2018
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2014.07.002
subdivisionambient isotopyhomeomorphismBézier curvepiecewise linear approximationnon-self-intersection
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (5)
Computational topology: isotopic convergence to a stick knot ⋮ Subdivision of Bézier curves for ambient isotopy in molecular modeling ⋮ \(\mathrm{G}^2\) Hermite interpolation with quartic regular linear normal curves ⋮ Exact Computation for Existence of a Knot Counterexample ⋮ Topological subtleties for molecular movies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive isotopic approximation of nonsingular curves: The parameterizability and nonlocal isotopy approach
- Unknots with highly knotted control polygons
- 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
- Topologically reliable approximation of composite Bézier curves
- 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
- On the total curvature of knots
- EQUIVALENCE OF TOPOLOGICAL FORM FOR CURVILINEAR GEOMETRIC OBJECTS
- Topological Integrity for Dynamic Spline Models During Visualization of Big Data
- A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
- A geometric characterization of parametric cubic curves
- Computational Topology Counterexamples with 3D Visualization of Bezier Curves
- A condition for isotopic approximation
- On the smooth convergence of subdivision and degree elevation for Bézier curves
This page was built for publication: Isotopic equivalence by Bézier curve subdivision for application to high performance computing
