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
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
收藏
页码:265 / 270
页数:6
相关论文
共 50 条
  • [31] A universal parametrization in B-spline curve and surface interpolation
    Lim, CG
    COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (05) : 407 - 422
  • [32] Digital Curve Length Calculation by Using B-spline
    Alojz Suhadolnik
    Jože Petrišič
    Franc Kosel
    Journal of Mathematical Imaging and Vision, 2010, 38 : 132 - 138
  • [33] Universal parametrization in B-spline curve and surface interpolation
    Department of Computer Science, Louisiana State University, Baton Rouge, LA 70803, United States
    不详
    Comput Aided Geom Des, 5 (407-422):
  • [34] B-spline curve approximation using feature points
    Cheng, Xianguo
    ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY III, PTS 1-4, 2013, 397-400 : 1093 - 1098
  • [35] B-spline curve fitting using dominant points
    Park, Hyungjun
    Lee, Joo-Haeng
    COMPUTATIONAL SCIENCE - ICCS 2006, PT 2, PROCEEDINGS, 2006, 3992 : 362 - 366
  • [36] Adaptive knot placement in B-spline curve approximation
    Li, WS
    Xu, SH
    Zhao, G
    Goh, LP
    COMPUTER-AIDED DESIGN, 2005, 37 (08) : 791 - 797
  • [37] B-spline curve fitting with invasive weed optimization
    Uyar, Kubra
    Ulker, Erkan
    APPLIED MATHEMATICAL MODELLING, 2017, 52 : 320 - 340
  • [38] Shape modification of B-spline curve with geometric constraints
    Cheng, Siyuan
    Zhang, Xiangwei
    Tang, Kelun
    CIS: 2007 INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY, PROCEEDINGS, 2007, : 325 - +
  • [39] Modification algorithm of Cubic B-spline curve interpolation
    Zhang, Wan-Jun
    Gao, Shan-Ping
    Zhang, Su-Jia
    Zhang, Feng
    PROCEEDINGS OF THE 2016 4TH INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS AND INFORMATION TECHNOLOGY APPLICATIONS, 2016, 71 : 507 - 512
  • [40] Extended cubic uniform B-spline and α-B-spline
    Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China
    Zidonghua Xuebao, 2008, 8 (980-983):