A Class of Cubic B-Spline Interpolation Curves with a Shape Parameter

被引：0

作者：

Yang, Lian ^{[1
]}

Li, Juncheng ^{[1
]}

机构：

[1] Hunan Inst Humanities Sci & Technol, Dept Math, Loudi, Hunan, Peoples R China

来源：

2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3 | 2010年

关键词：

B-spline curves; interpolation; C-2; continuity; circular helix;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A class of cubic B-spline base functions with a shape parameter is presented, the corresponding curves are defined by the introduced base functions. The curves inherit some characteristics with traditional cubic B-spline curves and can interpolate some control points without solving system of equations. The curves can be used to represent exactly straight line segments, circular arcs, ellipse arcs, parabola and some transcendental curves such as circular helix. Theirs shape can be adjusted totally through changing the values of the parameters. Moreover, the curves are C-2 continuous in proper condition. Examples are given to illustrate that the curves can be used as an efficient new model for geometric design in the fields of CAGD.

引用

页码：1008 / 1011

页数：4

共 6 条

[1] Uniform trigonometric polynomial B-spline curves [J].

Lü, YG ;

Wang, GZ ;

Yang, XN .

SCIENCE IN CHINA SERIES F, 2002, 45 (05) :335-343

[2] Shape preserving alternatives to the rational Bezier model [J].

Mainar, E ;

Peña, JM ;

Sánchez-Reyes, J .

COMPUTER AIDED GEOMETRIC DESIGN, 2001, 18 (01) :37-60

[3]

PIEG L, 1997, NURBS BOOK, P289

[4] NUAT B-spline curves [J].

Wang, GZ ;

Chen, QY ;

Zhou, MH .

COMPUTER AIDED GEOMETRIC DESIGN, 2004, 21 (02) :193-205

[5] C-curves: An extension of cubic curves [J].

Zhang, JW .

COMPUTER AIDED GEOMETRIC DESIGN, 1996, 13 (03) :199-217

[6] Extending cubic uniform B-splines by unified trigonometric and hyperbolic basis [J].

Zhang, JW ;

Krause, FL .

GRAPHICAL MODELS, 2005, 67 (02) :100-119

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