影像科学与光化学 ›› 2024, Vol. 42 ›› Issue (1): 9-15.DOI: 10.7517/issn.1674-0475.230804

• 综述与论文 • 上一篇    下一篇

数字图像相关方法中基于改进IC-GN算法高精度形变测量研究

孙泽刚1, 张奎1, 蒋强2, 黎军华3   

  1. 1. 四川轻化工大学机械工程学院, 四川 宜宾 644002;
    2. 乐山师范学院电子信息与人工智能学院, 四川 乐山 614000;
    3. 乐山一拉得电网自动化有限公司, 四川 乐山 614000
  • 收稿日期:2023-08-07 修回日期:2023-12-11 发布日期:2024-02-21
  • 通讯作者: 张奎
  • 基金资助:
    四川省科技计划项目(2022YFG0075)

Research on High-precision Deformation Measurement Based on Improved IC-GN Algorithm in Digital Image Correlation Methods

SUN Zegang1, ZHANG Kui1, JIANG Qiang2, LI Junhua3   

  1. 1. School of Mechanical Engineering, Sichuan University of Science & Engineering, Yibin 644002, Sichuan, P.R. China;
    2. School of Electronic Information and Artificial Intelligence, Leshan Normal University, Leshan 614000, Sichuan, P.R. China;
    3. Leshan ELECT Electrified Wire Neting Automation Co., Ltd., Leshan 614000, Sichuan, P.R. China
  • Received:2023-08-07 Revised:2023-12-11 Published:2024-02-21

摘要: 在数字图像相关方法对物体形变测量中,FA-NR算法实现了高精度测量,IC-GN算法在此基础上提高了测量效率。为进一步提升测量精度,提出了一种基于IC-GN的改进算法(GIC-GN)。在已知整像素初始位置上,通过梯度法求得更准确的亚像素位移,减小Hessian矩阵计算过程中产生的误差,同时加快迭代的收敛速度,有效提高了测量精度和效率。仿真实验验证结果表明,GIC-GN算法误差能够稳定在10-4~10-3 pixel之间,对比IC-GN算法精度提升了10%~60%,耗时是FA-NR算法的0.1倍、IC-GN算法的0.8倍,能够实现对物体形变信息的高精度、高效率测量。

关键词: 数字图像相关, IC-GN算法, Hessian矩阵, 高精度, 高效率

Abstract: In the measurement of object deformation using digital image correlation methods, the FA-NR algorithm achieves high-precision measurement, while the IC-GN algorithm improves measurement efficiency on this basis. To further improve measurement accuracy, an improved algorithm based on IC-GN (GIC-GN) was proposed. By using the gradient method to obtain a more accurate sub pixel displacement at the known initial position of the entire pixel, the error generated in the Hessian matrix calculation process is reduced, and the convergence speed of the iteration is accelerated, effectively improving measurement accuracy and efficiency. The simulation experiment verification results show that the error of GIC-GN algorithm can be stable between 10-4-10-3 pixel, and the accuracy of IC-GN algorithm is improved by 10%-60% compared to FA-NR algorithm. The time consumption is 0.1 times that of FA-NR algorithm and 0.8 times that of IC-GN algorithm, which can achieve high-precision and efficient measurement of object deformation information.

Key words: digital image correlation, IC-GN algorithm, Hessian matrix, high precision, high efficiency