影像科学与光化学2024，Vol.42Issue(5)：407-415,9.DOI:10.7517/issn.1674-0475.2024.05.01
基于Lagrange插值的数字图像相关亚像素位移测量算法
A Sub-pixel Displacement Measurement Algorithm Based on Lagrange Interpolation in Digital Image Correlation
摘要
Abstract
It aims to optimize the computational efficiency of sub-pixel displacement measurement in digital image correlation by improving the interpolation method in the classic Newton-Raphson algorithm in this paper.The bicubic spline interpolation algorithm is used in the classic Newton-Raphson algorithm,which increases computational complexity,especially when calculating the grayscale gradient of boundary points(i.e.the first derivative of grayscale values).Therefore,an improved algorithm based on Lagrange interpolation is proposed.The Lagrange interpolation algorithm successfully avoids the calculation of grayscale gradients at boundary points without increasing the number of calculation nodes,resulting in an interpolation efficiency improvement of nearly 1/3.The performance of the algorithm proposed in this paper is verified through numerical simulation experiments and real rigid body translation experiments.The results show that the algorithm proposed in this paper has significantly improved measurement efficiency compared to the traditional Newton-Raphson algorithm while maintaining solution accuracy.The average efficiency of single point interpolation has increased by nearly 30％.The average measurement efficiency of single point has increased by nearly 20％.The Lagrange interpolation algorithm is used in sub-pixel displacement measurement of digital image correlation(DIC)for the first time,solving the problem of high computational complexity in the bicubic spline interpolation algorithm.It provides a more optimized deformation measurement method for related fields.This study provides new ideas and references for the further development and application of sub-pixel displacement measurement technology of DIC,and is expected to be widely applied in practical engineering,promoting progress and development in related fields.关键词
数字图像相关/Lagrange插值/Newton-Raphson算法/亚像素位移测量Key words
digital image correlation/Lagrange interpolation/Newton-Raphson algorithm/sub-pixel displacement measurement分类
数理科学引用本文复制引用
刘小勇,郑晓林,李荣丽,黄远泽,徐哲,李凯凯,裴晓日,张晓伟..基于Lagrange插值的数字图像相关亚像素位移测量算法[J].影像科学与光化学,2024,42(5):407-415,9.基金项目
吉林省科技厅发展计划项目中央引导地方科技发展资金(YDZJ202201ZYTS604) （YDZJ202201ZYTS604）
吉林省教育厅"十三五"科学技术研究项目(JJKH20210719KJ) （JJKH20210719KJ）
吉林大学数控装备可靠性教育部重点实验室开放基金项目(202103) （202103）
