Constrained multi-degree reduction with respect to Jacobi norms
From MaRDI portal
Publication:1632400
DOI10.1016/j.cagd.2015.12.003zbMath1417.65074OpenAlexW2228942392MaRDI QIDQ1632400
Rachid Ait-Haddou, Michael Bartoň
Publication date: 14 December 2018
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10754/592755
Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (6)
Curve construction based on quartic Bernstein-like basis ⋮ Finite alternation theorems and a constructive approach to piecewise polynomial approximation in Chebyshev norm ⋮ Degree reduction of composite Bézier curves ⋮ Note on multi-degree reduction of Bézier curves via modified Jacobi-Bernstein basis transformation ⋮ Modeling of free-form complex curves using SG-Bézier curves with constraints of geometric continuities ⋮ Degree reduction of \(S-\lambda\) curves using a genetic simulated annealing algorithm
Cites Work
- Unnamed Item
- 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 of Bézier surfaces using Jacobi polynomials
- Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
- Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials
- The geometry of optimal degree reduction of Bézier curves
- Degree reduction of Bézier curves by \(L^ 1\)-approximation with endpoint interpolation
- Least squares approximation of Bézier coefficients provides best degree reduction in the \(L_2\)-norm
- Good degree reduction of Bézier curves using Jacobi polynomials
- Polynomial degree reduction in the \(L_2\)-norm equals best Euclidean approximation of Bézier coefficients
- 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
- Distance for Bézier curves and degree reduction
- Perturbing Béziercoefficients for best constrained degree reduction in the L2-norm
- Degree reduction of Bézier curves
- Degree reduction of Bézier curves
This page was built for publication: Constrained multi-degree reduction with respect to Jacobi norms
