Degree reduction of Bézier curves by \(L^ 1\)-approximation with endpoint interpolation

DOI10.1016/S0898-1221(97)00020-5zbMath0878.41006OpenAlexW1974157698MaRDI QIDQ1356855

O. Diekmann

Publication date: 15 December 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00020-5

zbMATH Keywords

Bézier curveendpoint interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Moment problems and interpolation problems in the complex plane (30E05) Spline approximation (41A15)

Related Items

Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights ⋮ Polynomial degree reduction in the discrete \(L_2\)-norm equals best Euclidean approximation of \(h\)-Bézier coefficients ⋮ Constrained multi-degree reduction with respect to Jacobi norms ⋮ Application of degree reduction of polynomial Bézier curves to rational case ⋮ Constrained polynomial degree reduction in the \(L_2\)-norm equals best weighted Euclidean approximation of Bézier coefficients ⋮ Approximating tensor product Bézier surfaces with tangent plane continuity ⋮ Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials ⋮ 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 ⋮ Degree reduction of Béezier curves using constrained Chebyshev polynomials of the second kind ⋮ Polynomial degree reduction in the \(\mathcal{L}^2\)-norm on a symmetric interval for the canonical basis ⋮ A unified approach for degree reduction of polynomials in the Bernstein basis. I: Real polynomials

Cites Work

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• Best \(L_ 1\)-approximation by polynomials
• Best \(L_ 1\)-approximation
• Best \(L^ 1\)-approximation by polynomials. II
• Chebyshev economization for parametric surfaces
• A survey of curve and surface methods in CAGD
• Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
• Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
• Practical L p Polynomial Approximation
• Degree reduction of Bézier curves
• Degree reduction of Bézier curves