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
  • [21] Shape modification of B-spline surface-stitch of B-spline surfaces based on isoparametric curve
    Wang, Zhiguo
    Zhou, Laishui
    Tan, Changbai
    Bao, Yidong
    [J]. Nanjing Hangkong Hangtian Daxue Xuebao/Journal of Nanjing University of Aeronautics and Astronautics, 2009, 41 (05): : 570 - 575
  • [22] Extending Ball B-spline by B-spline
    Liu, Xinyue
    Wang, Xingce
    Wu, Zhongke
    Zhang, Dan
    Liu, Xiangyuan
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2020, 82
  • [23] The Quadratic Trigonometric B-Spline Curve with a Shape Parameter
    Li, Juncheng
    Chen, Guohua
    Yang, Lian
    [J]. AUTOMATION EQUIPMENT AND SYSTEMS, PTS 1-4, 2012, 468-471 : 2463 - 2466
  • [24] A universal parametrization in B-spline curve and surface interpolation
    Lim, CG
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (05) : 407 - 422
  • [25] CURVATURE BOUNDS FOR PLANAR B-SPLINE CURVE SEGMENTS
    WALTON, DJ
    MEEK, DS
    [J]. COMPUTER-AIDED DESIGN, 1988, 20 (03) : 146 - 150
  • [26] B-spline curve approximation with transformer neural networks
    Saillot, Mathis
    Michel, Dominique
    Zidna, Ahmed
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 223 : 275 - 287
  • [27] Digital Curve Length Calculation by Using B-spline
    Suhadolnik, Alojz
    Petrisic, Joze
    Kosel, Franc
    [J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2010, 38 (02) : 132 - 138
  • [28] Universal parametrization in B-spline curve and surface interpolation
    Department of Computer Science, Louisiana State University, Baton Rouge, LA 70803, United States
    不详
    [J]. Comput Aided Geom Des, 5 (407-422):
  • [29] B-spline curve approximation using feature points
    Cheng, Xianguo
    [J]. ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY III, PTS 1-4, 2013, 397-400 : 1093 - 1098
  • [30] Control point adjustment for B-spline curve approximation
    Yang, HP
    Wang, WP
    Sun, JG
    [J]. COMPUTER-AIDED DESIGN, 2004, 36 (07) : 639 - 652