Modification algorithm of Cubic B-spline curve interpolation

被引：0
|
作者：
Zhang, Wan-Jun [1 ,2 ,3 ]
Gao, Shan-Ping [1 ]
Zhang, Su-Jia [1 ]
Zhang, Feng [2 ]
机构：
[1] Quanzhou Inst Informat Engn, Guangzhou 510000, Guangdong, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Mech Engn, Xian 7410049, Peoples R China
[3] Lanzhou Ind & Equipment Co Ltd, Lanzhou 730050, Peoples R China
来源：
PROCEEDINGS OF THE 2016 4TH INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS AND INFORMATION TECHNOLOGY APPLICATIONS | 2016年 / 71卷
关键词：
Cubic B-Spline curve; CNC system; Interpolation algorithm;
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：
Based on cubic B-Spline curve mathematical properties, theoretical analysis the cubic B-Spline curve recursive formula of Taylor development of first-order, derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed, change the interpolation increments can be amended cubic times B-Spline curves purpose. So this paper presents such a modified interpolation algorithm, which is combined with specific examples of matlab7.0 verifies that the algorithm is correct; it is consistent with a cubic B-Spline curve interpolation requirements.
引用
收藏
页码：507 / 512
页数：6
相关论文
共 50 条
  • [31] SHAPE CLASSIFICATION OF THE PARAMETRIC CUBIC CURVE AND PARAMETRIC B-SPLINE CUBIC CURVE
    WANG, CY
    COMPUTER-AIDED DESIGN, 1981, 13 (04) : 199 - 206
  • [32] GPU Prefilter for Accurate Cubic B-spline Interpolation
    Ruijters, Daniel
    Thevenaz, Philippe
    COMPUTER JOURNAL, 2012, 55 (01): : 15 - 20
  • [33] Prediction-Correction Algorithm of Cubic B-Spline Curve Interpolation in Industrial Robot Control System Based on LinuxCNC
    Shi Bu-Hai
    Lin Hai-Ming
    Ding Chuan
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 5201 - 5206
  • [34] Euler B-spline for curve interpolation and data fitting
    Zhang, Huimin
    Yang, Xunnian
    Journal of Information and Computational Science, 2014, 11 (10): : 3307 - 3317
  • [35] A universal parametrization in B-spline curve and surface interpolation
    Lim, CG
    COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (05) : 407 - 422
  • [36] 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):
  • [37] High-speed real-time interpolation of cubic uniform B-spline curve
    Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology, Tsinghua University, Beijing 100084, China
    Jisuanji Jicheng Zhizao Xitong, 2008, 9 (1830-1836):
  • [38] Jacobi-PIA algorithm for bi-cubic B-spline interpolation surfaces
    Liu, Chengzhi
    Li, Juncheng
    Hu, Lijuan
    GRAPHICAL MODELS, 2022, 120
  • [39] GS-PIA Algorithm for Bi-cubic B-spline Interpolation Surfaces
    Xiang, Yuchen
    Liu, Chengzhi
    IAENG International Journal of Applied Mathematics, 2024, 54 (06) : 1157 - 1162
  • [40] Algorithm to fill closed B-spline curve
    CISE of SDUST Shandong, Qingdao 266510, China
    Xitong Fangzhen Xuebao, 2006, SUPPL. (12-13+17):
12345