Approximate merging of B-spline curves and surfaces

DOI10.1007/S11766-010-2169-1zbMath1240.65047OpenAlexW2033423516MaRDI QIDQ716532

Jun Chen, Guo-Jin Wang

Publication date: 29 September 2011

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-010-2169-1

zbMATH Keywords

quadratic programmingnumerical examplescontrol pointscomputer aided geometric designB-spline curvesB-spline surfacesapproximate mergingNURBS curves

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

Piecewise linear approximation methods with stochastic sampling sites

Cites Work

• Unnamed Item
• Unnamed Item
• Approximate merging of a pair of Bézier curves
• Multi-degree reduction of triangular Bézier surfaces with boundary constraints
• Approximate conversion of surface representations with polynomial bases
• Approximate conversion of spline curves
• Polynomial degree reduction in the \(L_2\)-norm equals best Euclidean approximation of Bézier coefficients
• Constrained Bézier curves' best multi-degree reduction in the \(L_2\)-norm
• Optimal multi-degree reduction of triangular Bézier surfaces with corners continuity in the norm \(L_{2}\)

This page was built for publication: Approximate merging of B-spline curves and surfaces