Polynomial accelerated iterative approximation for higher order and rational Bézier curves
type: Item
instance of: scholarly article
title: Polynomial accelerated iterative approximation for higher order and rational Bézier curves
zbMATH Open document ID: 1468.42001
author: Chengzhi Liu
author: Lian Yang
author: Li Zhang
published in: Results in Mathematics
publication date: 2021-07-16T00:00:00Z
Mathematics Subject Classification ID: 42A10
zbMATH DE Number: 7372254
zbMATH Keywords: preconditioned progressive approximation
zbMATH Keywords: rational Bézier curves
zbMATH Keywords: degree reduction
zbMATH Keywords: curve approximation
zbMATH Keywords: adaptive sampling method
MaRDI profile type: Publication
full work available at URL: s00025-021-01453-y
OpenAlex ID: W3177117465
cites work: Iterative Solution Methods
cites work: Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
cites work: Constrained approximation of rational Bézier curves based on a matrix expression of its end points continuity condition
cites work: Degree reduction of Bézier curves
cites work: On the Runge Example
cites work: High order approximation of rational curves by polynomial curves
cites work: Degree reduction of composite Bézier curves
cites work: Constrained polynomial approximation of rational Bézier curves using reparameterization
cites work: A simple method for approximating rational Bézier curve using Bézier curves
cites work: Polynomial approximation of rational Bézier curves with constraints
cites work: Totally positive bases and progressive iteration approximation
cites work: The Chebyshev accelerating method for progressive iterative approximation
cites work: Sample-based polynomial approximation of rational Bézier curves
cites work: Note on multi-degree reduction of Bézier curves via modified Jacobi-Bernstein basis transformation
cites work: Curvature based sampling of curves and surfaces
cites work: The Bernstein polynomial basis: a centennial retrospective
cites work: Matrix representation for multi-degree reduction of Bézier curves
cites work: On the convergence of polynomial approximation of rational functions
cites work: Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
DOI: 10.1007/S00025-021-01453-Y
description: scientific article; zbMATH DE number 7372254