A Class of Spline Curves with Four Local Shape Parameters

被引：3
|
作者：
Zhu, Yuan-peng [1 ,2 ]
Han, Xu-li [2 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2017年 / 33卷 / 04期
基金：
中国国家自然科学基金;
关键词：
B-spline curve; quartic spline curve; interpolation curve; shape control; shape parameter; TRIGONOMETRIC POLYNOMIAL CURVES;
D O I：
10.1007/s10255-017-0712-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of spline curves with four local shape parameters, which includes the quartic spline curves with three local shape parameters given in Han [Xuli Han. A class of general quartic spline curves with shape parameters. Comput. Aided Geom. Design, 28: 151-163 (2011)], is proposed. Without solving a linear system, the spline curves can be used to interpolate sets of points with C-2 continuity partly or entirely. The shape parameters have a predictable adjusting role on the spline curves.
引用
收藏
页码：979 / 988
页数：10
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