Piecewise quartic polynomial curves with a local shape parameter

DOI10.1016/j.cam.2005.07.016zbMath1102.65017OpenAlexW2079184891MaRDI QIDQ2497537

Xu-li Han

Publication date: 4 August 2006

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.2005.07.016

zbMATH Keywords

local interpolationB-spline curveshape parameterspline curvepolynomial curve

Mathematics Subject Classification ID

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

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The convergence properties of a type II complete deficient quartic spline ⋮ A class of algebraic-trigonometric blended splines ⋮ A class of spline curves with four local shape parameters ⋮ New rational cubic trigonometric B-spline curves with two shape parameters ⋮ Curves and surfaces construction based on new basis with exponential functions ⋮ A control point based curve with two exponential~shape parameters ⋮ On the quartic curve of Han ⋮ Curve construction based on five trigonometric blending functions ⋮ A class of general quartic spline curves with shape parameters ⋮ Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions ⋮ Cubic trigonometric nonuniform spline curves and surfaces

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