The redefinition of B-spline curve

被引：0

作者：

Jung, Hyung Bae ^{[1
]}

Kim, Kwangsoo ^{[2
]}

机构：

[1] Mokpo Natl Univ, Dept Naval Architecture & Ocean Engn, Chungnam 534729, South Korea

[2] Pohang Univ Sci & Technol, Dept Ind & Management Engn, Pohang 790784, South Korea

来源：

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY | 2011年 / 57卷 / 1-4期

关键词：

B-spline; Knot vector; Basis functions; SURFACE INTERPOLATION;

D O I：

10.1007/s00170-010-3128-y

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper proposes a new formula of B-spline curve. The new formula generates exact same shape as that of the original B-spline curve formula but has different basic functions and knot vector. This formula requires the number of knots to be the same as the number of control points. This property of the new formula enables us to select the knot vector automatically even in case of nonuniform and to generate spline with relative constant speed. Some experimental results demonstrate its usefulness and quality.

引用

页码：265 / 270

页数：6

共 15 条

[1]

[Anonymous], 1978, A Practical Guide to Splines

[2] A real-time scheme of cubic parametric curve interpolations for CNC systems [J].

Bahr, B ;

Xiao, XM ;

Krishnan, K .

COMPUTERS IN INDUSTRY, 2001, 45 (03) :309-317

[3]

de Boor C., 1972, Journal of Approximation Theory, V6, P50, DOI 10.1016/0021-9045(72)90080-9

[4]

Farin G., 1993, Curves and Surfaces for Computer Aiaded Geometric Design, V3

[5]

Farin GeraldE., 1991, NURBS for Curve and Surface Design, DOI [10.5555/531858, DOI 10.5555/531858]

[6]

Gallier J., 2000, CURVES SURFACES GEOM

[7]

Hoschek J., 1993, Fundamentals of computer aided geometric design

[8] B-spline tool offset of a free-form curve in the shoe last high-speed machining CNC system [J].

Hu, Jun ;

Shen, Hong ;

Zeng, Shuishen ;

Wang, Yuhan .

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2006, 30 (9-10) :864-869

[9] A new parameterisation method for NURBS surface interpolation [J].

Jung, HB ;

Kim, K .

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2000, 16 (11) :784-790

[10] CNC tool path in terms of B-spline curves [J].

Lartigue, C ;

Thiebaut, F ;

Maekawa, T .

COMPUTER-AIDED DESIGN, 2001, 33 (04) :307-319

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