Least squares approximation of Bézier coefficients provides best degree reduction in the \(L_2\)-norm
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Publication:1567424
DOI10.1006/jath.1999.3443zbMath1047.41007OpenAlexW2018970480WikidataQ60060309 ScholiaQ60060309MaRDI QIDQ1567424
Publication date: 2000
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1999.3443
Multidimensional problems (41A63) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (11)
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 ⋮ Distance for degree raising and reduction of triangular Bézier surfaces ⋮ Explicit \(G^2\)-constrained degree reduction of Bézier curves by quadratic optimization ⋮ Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials ⋮ Constrained degree reduction of polynomials in Bernstein-Bézier form over simplex domain ⋮ Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis
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