Iterative process for \(G^{2}\)-multi degree reduction of Bézier curves
type: Item
instance of: scholarly article
title: Iterative process for \(G^{2}\)-multi degree reduction of Bézier curves
zbMATH Open document ID: 1219.65025
author: Abedallah Rababah
author: Stephen Mann
published in: Applied Mathematics and Computation
publication date: 2011-06-28T00:00:00Z
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 5914125
zbMATH Keywords: Bézier curves
zbMATH Keywords: multi-degree reduction
zbMATH Keywords: iterative methods
zbMATH Keywords: geometric continuity
zbMATH Keywords: \(G^{2}\)-continuity
zbMATH Keywords: numerical examples
zbMATH Keywords: graphical examples
zbMATH Keywords: convergence
zbMATH Keywords: algorithm
MaRDI profile type: Publication
full work available at URL: j.amc.2011.03.016
OpenAlex ID: W2188103937
cites work: Constrained polynomial degree reduction in the \(L_2\)-norm equals best weighted Euclidean approximation of Bézier coefficients
cites work: Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
cites work: The geometry of optimal degree reduction of Bézier curves
cites work: Progressive iterative approximation and bases with the fastest convergence rates
cites work: Q4278198
cites work: Approximate conversion of spline curves
cites work: Degree reduction of Bézier curves
cites work: Algorithms for polynomials in Bernstein form
cites work: Chebyshev economization for parametric surfaces
cites work: Approximation by constrained parametric polynomials
cites work: Optimal multi-degree reduction of Bézier curves with \(G^2\)-continuity
cites work: Polynomial degree reduction in the \(L_2\)-norm equals best Euclidean approximation of Bézier coefficients
cites work: A simple matrix form for degree reduction of Bézier curves using Chebyshev-Bernstein basis transformations
cites work: Multiple Degree Reduction and Elevation of Bézier Curves Using Jacobi–Bernstein Basis Transformations
cites work: Distance for degree raising and reduction of triangular Bézier surfaces
cites work: L-2 DEGREE REDUCTION OF TRIANGULAR BÉZIER SURFACES WITH COMMON TANGENT PLANES AT VERTICES
cites work: Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
DOI: 10.1016/J.AMC.2011.03.016
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description: scientific article; zbMATH DE number 5914125