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| 一种改进的数字图像相关欠匹配优化方法 |
| An Improved Undermatched Systematic Error Compensation Method in Digital Image Correlation |
| 投稿时间：2024-04-13 修订日期：2024-05-22 |
| DOI： |
| 中文关键词: 复杂变形场测量 数字图像相关方法 欠匹配系统误差 准高斯点方法 |
| 英文关键词:complex deformation calculation digital image correlation undermatched systematic errors Quasi-Gauss Point Method |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| 在非均匀复杂变形场的数字图像相关方法测量中，形函数欠匹配问题导致的系统误差与随机噪声、灰度插值等误差相比常常是最主要的误差来源。传统的准高斯点欠匹配优化方法是基于一维位移假设的，而实际测量中的非均匀复杂变形场一般是二维的。基于此，提出了一种改进的准高斯点优化算法。该方法基于二维位移下的子集欠匹配系统误差场函数，推导了二维情况下的更具普适性的子集内零欠匹配系统误差点位置，并将这些点位作为子集的计算点位。实验表明，该方法与传统的准高斯点法相比，在对于二维复杂变形场的欠匹配系统误差的优化中具有较好的稳定性与可靠性。 |
| 英文摘要: |
| In using subset-based digital image correlation (DIC) to detect non-uniform deformation, systematic errors caused by undermatched shape functions have always been the primary source of error compared with other factors like noise and grey-level interpolation. The current Quasi-Gauss Point Method is based on one-dimensional displacement assumption, whereas the heterogeneous complex deformation field in the real case is generally two-dimensional. Based on this situation, the Improved Quasi-Gauss Point Method is proposed. Based on the undermatched systematic error function in the subset under two-dimensional displacement, the method deduces the more universal zero-undermatched-systematic-error locations inside subsets, and uses these points as the calculation points of subsets. The results of experiments show that the proposed method has better stability and reliability than the traditional Quasi-Gauss Point Method in the compensation of undermatched systematic errors in two-dimensional complex deformation fields. |
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