Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions

DOI10.1016/j.cam.2014.06.014zbMath1295.65016OpenAlexW2152070617MaRDI QIDQ2510007

Yuanpeng Zhu, Shengjun Liu, Xu-li Han

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.06.014

zbMATH Keywords

B-spline curvecontrol polygonBernstein basisSaid-Ball basisshape parameterBézier-like curvestotally positive propertycorner cutting algorithmquasi extended Chebyshev space

Mathematics Subject Classification ID

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

Related Items (11)

A class of blending functions with \(C^{\infty}\) smoothness ⋮ Curve construction based on quartic Bernstein-like basis ⋮ Shape modification for \(\lambda\)-Bézier curves based on constrained optimization of position and tangent vector ⋮ Curve and surface construction based on the generalized toric-Bernstein basis functions ⋮ New trigonometric basis possessing denominator shape parameters ⋮ New cubic rational basis with tension shape parameters ⋮ A NURBS transition between a Bézier curve and its control polygon ⋮ Cubic trigonometric nonuniform spline curves and surfaces ⋮ Degree elevation of changeable degree spline ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions ⋮ Trigonometric B

Uses Software

• CONSURF

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