Sample-based polynomial approximation of rational Bézier curves
From MaRDI portal
Publication:611829
DOI10.1016/j.cam.2010.08.008zbMath1204.65016OpenAlexW2063605283MaRDI QIDQ611829
Publication date: 14 December 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.08.008
convergenceiterationnumerical examplespolynomial approximationrational Bézier curvescontrol points\(L_p\)-error
Related Items (8)
Preconditioned progressive iterative approximation for tensor product Bézier patches ⋮ Polynomial approximation of rational Bézier curves with constraints ⋮ On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces ⋮ Constrained polynomial approximation of rational Bézier curves using reparameterization ⋮ An iterative algorithm for polynomial approximation of rational triangular Bézier surfaces ⋮ The use of Jacobi wavelets for constrained approximation of rational Bézier curves ⋮ High-quality point sampling for B-spline fitting of parametric curves with feature recognition ⋮ Polynomial accelerated iterative approximation for higher order and rational Bézier curves
Cites Work
- Unnamed Item
- Shape-preserving univariate cubic and higher-degree \(L_{1}\) splines with function-value-based and multistep minimization principles
- Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
- Surface fitting and registration of point clouds using approximations of the unsigned distance function
- Weighted progressive iteration approximation and convergence analysis
- Progressive iterative approximation and bases with the fastest convergence rates
- A simple method for approximating rational Bézier curve using Bézier curves
- Totally positive bases and progressive iteration approximation
- Constructing iterative non-uniform \(B\)-spline curve and surface to fit data points
- Geometric Hermite interpolation by cubic \(G^1\) splines
- High accuracy geometric Hermite interpolation
- Derivatives of rational Bézier curves
- On the convergence of polynomial approximation of rational functions
- Shape-preserving properties of univariate cubic \(L_{1}\) splines
- High order approximation of rational curves by polynomial curves
- Geometric Hermite interpolation -- in memoriam Josef Hoschek
- Parameterization for Curve Interpolation
This page was built for publication: Sample-based polynomial approximation of rational Bézier curves