Good degree reduction of Bézier curves using Jacobi polynomials

DOI10.1016/S0898-1221(00)00232-7zbMath0962.65011MaRDI QIDQ1591965

R. Smith

Publication date: 14 January 2001

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

zbMATH Keywords

error boundsdegree reductionsubdivision schemeBézier curveJacobi polynomial\(C^1\)-continuity

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Constrained multi-degree reduction with respect to Jacobi norms ⋮ 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 ⋮ Approximating tensor product Bézier surfaces with tangent plane continuity ⋮ Computing orthogonal polynomials on a triangle by degree raising ⋮ Rational Bézier curves approximated by Bernstein-Jacobi hybrid polynomial curves ⋮ Explicit \(G^2\)-constrained degree reduction of Bézier curves by quadratic optimization ⋮ 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 ⋮ A unified approach for degree reduction of polynomials in the Bernstein basis. I: Real polynomials

Cites Work

• The geometry of optimal degree reduction of Bézier curves
• Chebyshev economization for parametric surfaces
• Approximation by constrained parametric polynomials
• Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
• Degree reduction of Bézier curves
• Degree reduction of Bézier curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item