CMM measurement error model based on high-order Lagrange interpolation

被引:0
|
作者
Zhang, Mei [1 ]
机构
[1] College of Electrical Engineering and Automation, Anhui University, Hefei, 230601, China
关键词
Interpolation - Lagrange multipliers - Coordinate measuring machines;
D O I
10.3923/itj.2013.3457.3461
中图分类号
学科分类号
摘要
Most scholars were committed to study the low-dimensional measurement error of CMM, few to research the high-dimensional model. In this study, the idea of dimension reduction is found from the derivational process of Lagrange interpolation formula, which is from one-dimension to two-dimension. High-dimension and high orders Lagrange interpolation formula is analogized by using the rule. Then apply the formula to the fields of the CMM measurement error models and get the better results. © 2013 Asian Network for Scientific Information.
引用
收藏
页码:3457 / 3461
相关论文
共 50 条
  • [1] High-order shape interpolation
    Huang, Zhaobin
    Liu, Shibo
    Fu, Xiao-Ming
    COMPUTER AIDED GEOMETRIC DESIGN, 2024, 111
  • [2] New coning algorithm based on high-order error compensation model
    Huang, Lei
    Liu, Jian-Ye
    Zeng, Qing-Hua
    Zhongguo Guanxing Jishu Xuebao/Journal of Chinese Inertial Technology, 2013, 21 (01): : 37 - 41
  • [3] NUMERICAL DIFFERENTIATION BY HIGH-ORDER INTERPOLATION
    HOFFMAN, P
    REDDY, KC
    SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (06): : 979 - 987
  • [4] Stepping into high-order interpolation in space
    Rapetti, Francesca
    Aubry, Erwann
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2025, 18 (01): : 311 - 325
  • [5] Harmonic Vector Error Analysis Based on Lagrange Interpolation
    Zhang, Zhaoyun
    Wang, Qitong
    Zhang, Zhi
    IEEE ACCESS, 2021, 9 : 57464 - 57474
  • [6] An approach of signal analysis based on high-order spline interpolation
    Li Jianjun
    Li Xibing
    You Hong
    Liu Cheng
    SPORTS, ARTS MATERIALS AND MANAGEMENT SCIENCE, 2012, 507 : 226 - +
  • [7] A lagrange interpolation based error correction coding for the images
    Ajorloo, Hossein
    Manzuri-Shalmani, Mohammad-Taghi
    Lakdashti, Abolfazl
    PROCEEDINGS OF THE 5TH INTERNATIONAL SYMPOSIUM ON IMAGE AND SIGNAL PROCESSING AND ANALYSIS, 2007, : 293 - +
  • [8] Stepping into high-order interpolation in spaceStepping into high-order interpolation in spaceF. Rapetti, E. Aubry
    Francesca Rapetti
    Erwann Aubry
    Bollettino dell'Unione Matematica Italiana, 2025, 18 (1) : 311 - 325
  • [9] High Order Interpolation Error Analysis Based on Triangular Interpolations
    Luo, Wen
    Liu, Jinbo
    Li, Zengrui
    Song, Jiming
    PROCEEDINGS OF THE 2020 IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL ELECTROMAGNETICS (ICCEM 2020), 2020, : 79 - 80
  • [10] Calibrating method for high-order coefficients in accelerometer error model
    Chen, Xi-Jun
    Ren, Shun-Qing
    Li, Wei
    Zhongguo Guanxing Jishu Xuebao/Journal of Chinese Inertial Technology, 2010, 18 (04): : 508 - 512