Approximation by constrained parametric polynomials

DOI10.1216/rmjm/1181073018zbMath0763.65008OpenAlexW2092610301MaRDI QIDQ1178598

Michael A. Lachance

Publication date: 26 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073018

zbMATH Keywords

Jacobi polynomialscurveCAD systemsultraspherical polynomialscomputer-aided designparametric surfacesconstrained approximationconstrained Chebyshev polynomials

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Application of degree reduction of polynomial Bézier curves to rational case ⋮ Using Jacobi polynomials for degree reduction of Bézier curves with \(C^k\)-constraints ⋮ Constrained polynomial degree reduction in the \(L_2\)-norm equals best weighted Euclidean approximation of Bézier coefficients ⋮ The geometry of optimal degree reduction of Bézier curves ⋮ Application of Chebyshev II-Bernstein basis transformations to degree reduction of Bézier curves ⋮ Constrained degree reduction of polynomials in Bernstein-Bézier form over simplex domain ⋮ Iterative process for \(G^{2}\)-multi degree reduction of Bézier curves ⋮ Degree reduction of Béezier curves using constrained Chebyshev polynomials of the second kind ⋮ Good degree reduction of Bézier curves using Jacobi polynomials ⋮ A unified approach for degree reduction of polynomials in the Bernstein basis. I: Real polynomials

Cites Work

• Chebyshev economization for parametric surfaces
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