C3 cubic trigonometric B-spline curves with a real parameter

被引：6
|
作者：
Xie, Wei [1 ]
Li, Juncheng [2 ]
机构：
[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China
[2] Hunan Univ Humanities Sci & Technol, Coll Math & Finance, Loudi 417000, Peoples R China
来源：
JOURNAL OF THE NATIONAL SCIENCE FOUNDATION OF SRI LANKA | 2018年 / 46卷 / 01期
基金：
中国国家自然科学基金;
关键词：
B-spline curve; C-3; continuity; shape adjustment; trigonometric polynomial; 2; SHAPE-PARAMETERS; BEZIER CURVE; SURFACES;
D O I：
10.4038/jnsfsr.v46i1.8268
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper presents a class of cubic trigonometric B-spline curves with a real parameter alpha, which are called alpha-B-spline curves. The alpha-B-spline curves have properties similar to those of the standard cubic uniform B-spline curves. In particular, the alpha-B-spline curves are C-3 and can achieve shape adjustment by altering the value of the parameter alpha even if the control points are kept unchanged. With proper conditions, the alpha-B-spline curves also can exactly represent arcs of ellipses and parabolas. In order to obtain smooth alpha-B-spline curves, a method for determining the value of parameter alpha is presented.
引用
收藏
页码：89 / 94
页数：6
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