The construction of \({\lambda}{\mu}\)-B-spline curves and its application to rotational surfaces

DOI10.1016/j.amc.2015.05.056zbMath1410.65031OpenAlexW620013932MaRDI QIDQ669347

Suxia Zhang, Gang Hu, Xiaomin Ji, Guo Wei, Xin-Qiang Qin

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.056

zbMATH Keywords

extensionblending functionsrotational surface\({\lambda}{\mu}\)-B-spline curveslocal shape parametertransfinite vector valued rational interpolation function

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Approximation by rational functions (41A20) Spline approximation (41A15)

Related Items (9)

Geometric modeling of some engineering GBT-Bézier surfaces with shape parameters and their applications ⋮ Shape-adjustable generalized Bézier surfaces: construction and it is geometric continuity conditions ⋮ Offset approximation of hybrid hyperbolic polynomial curves ⋮ Cubic B-spline curves with shape parameter and their applications ⋮ Continuity conditions for Q-Bézier curves of degree \(n\) ⋮ Cubic trigonometric nonuniform spline curves and surfaces ⋮ Approximate multidegree reduction of \(\lambda\)-Bézier curves ⋮ Degree elevation of changeable degree spline ⋮ Construction of generalized hybrid trigonometric Bézier surfaces with shape parameters and their applications

Cites Work

• Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator
• Vector valued rational interpolants. I
• On the stability of normalized Powell--Sabin B-splines
• Increasing the degree of closed B-spline curves
• A class of algebraic-trigonometric blended splines
• A quartic \(B\)-spline for second-order singular boundary value problems
• A novel extension to the polynomial basis functions describing Bézier curves and surfaces of degree \(n\) with multiple shape parameters
• Changeable degree spline basis functions
• C-curves: An extension of cubic curves
• Quadratic trigonometric polynomial curves with a shape parameter
• \(GB\)-splines of arbitrary order
• A class of generalized B-spline curves
• Curves and surfaces construction based on new basis with exponential functions

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