C3 cubic trigonometric B-spline curves with a real parameter

被引：7

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

页码：89 / 94

页数：6

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