New Trigonometric Basis Possessing Exponential Shape Parameters

DOI10.4208/jcm.1509-m4414zbMath1349.65069OpenAlexW2290524128MaRDI QIDQ2992644

Yuanpeng Zhu, Xu-li Han

Publication date: 10 August 2016

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

Full work available at URL: https://semanticscholar.org/paper/2b47ee3277984382bf6af07fb20faca7f983ba60

zbMATH Keywords

shape parameterscontrol polygonde Casteljau-type algorithmtriangular domaincorner cutting algorithmcubic Bézier curvestrigonometric B-spline-like basistrigonometric Bernstein-like basistrigonometric Bézier-like curves

Mathematics Subject Classification ID

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

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A class of blending functions with \(C^{\infty}\) smoothness ⋮ Apollonian de Casteljau-type algorithms for complex rational Bézier curves ⋮ New rational cubic trigonometric B-spline curves with two shape parameters ⋮ New trigonometric basis possessing denominator shape parameters ⋮ A class of sextic trigonometric Bézier curve with two shape parameters ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ New cubic trigonometric Bézier-like functions with shape parameter: curvature and its spiral segment ⋮ Quasi-quintic trigonometric Bézier curves with two shape parameters ⋮ Trigonometric B

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