A strain mode spectral digital image correlation method for displacement field analysis

A spectral image correlation method considering the effect of displacement gradients upon displacement analysis in the Fourier frequency domain is proposed. A spectral image correlation criterion is studied and established to match the target subset image with the reference subset image in the frequ...

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Published in:	Acta mechanica Sinica Vol. 39; no. 5; p. 422430
Main Authors:	Han, Shihao, He, Yuming, Lei, Jian, Xie, Yuyang, Yang, Yongbo
Format:	Journal Article
Language:	English
Published:	Beijing The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01.05.2023 Springer Nature B.V
Edition:	English ed.
Subjects:	Accuracy Classical and Continuum Physics Computational Intelligence Correlation Correlation analysis Digital imaging Displacement Engineering Engineering Fluid Dynamics Error analysis Fast Fourier transformations Fourier transforms Frequency domain analysis Hessian matrices Interpolation Iterative algorithms Iterative methods Mathematical analysis Pixels Resampling Research Paper Silicone rubber Strain distribution Tensile tests Theoretical and Applied Mechanics Fourier transform Strain measurement Digital image correlation Inverse compositional image alignment algorithm
ISSN:	0567-7718, 1614-3116
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Abstract	A spectral image correlation method considering the effect of displacement gradients upon displacement analysis in the Fourier frequency domain is proposed. A spectral image correlation criterion is studied and established to match the target subset image with the reference subset image in the frequency domain. An iterative algorithm for calculating displacement and strain is then derived, and the Hessian matrix remains unchanged within an iterative process. During the formation of the Hessian matrix, the greyscale gradients of the reference subset image can be calculated using the fast Fourier transform with high computational efficiency and accuracy. An accurate Fourier transform resampling technique, instead of the traditional interpolation method, is used to reconstruct or up-date the target image at a subpixel position in the deformed subset image. To verify the validity and accuracy of the proposed method, a series of images (2D-Challenge 1.0, sample 6) provided by the International DIC Challenge Committee (IDCC) was used for displacement analysis. The analyzed error results show that the proposed method is better than the published literature in accuracy. The second simulation experimental result with a strain of 50% is performed and the corresponding displacement accuracy is about 0.0032 pixel under the condition of 41 × 41 subset. Finally, a 14.85% uniaxial tensile test of a silicone rubber specimen is performed, and the analyzed displacement and strain distribution are given.
AbstractList	A spectral image correlation method considering the effect of displacement gradients upon displacement analysis in the Fourier frequency domain is proposed. A spectral image correlation criterion is studied and established to match the target subset image with the reference subset image in the frequency domain. An iterative algorithm for calculating displacement and strain is then derived, and the Hessian matrix remains unchanged within an iterative process. During the formation of the Hessian matrix, the greyscale gradients of the reference subset image can be calculated using the fast Fourier transform with high computational efficiency and accuracy. An accurate Fourier transform resampling technique, instead of the traditional interpolation method, is used to reconstruct or up-date the target image at a subpixel position in the deformed subset image. To verify the validity and accuracy of the proposed method, a series of images (2D-Challenge 1.0, sample 6) provided by the International DIC Challenge Committee (IDCC) was used for displacement analysis. The analyzed error results show that the proposed method is better than the published literature in accuracy. The second simulation experimental result with a strain of 50% is performed and the corresponding displacement accuracy is about 0.0032 pixel under the condition of 41 × 41 subset. Finally, a 14.85% uniaxial tensile test of a silicone rubber specimen is performed, and the analyzed displacement and strain distribution are given. A spectral image correlation method considering the effect of displacement gradients upon displacement analysis in the Fourier frequency domain is proposed. A spectral image correlation criterion is studied and established to match the target subset image with the reference subset image in the frequency domain. An iterative algorithm for calculating displacement and strain is then derived, and the Hessian matrix remains unchanged within an iterative process. During the formation of the Hessian matrix, the greyscale gradients of the reference subset image can be calculated using the fast Fourier transform with high computational efficiency and accuracy. An accurate Fourier transform resampling technique, instead of the traditional interpolation method, is used to reconstruct or up-date the target image at a subpixel position in the deformed subset image. To verify the validity and accuracy of the proposed method, a series of images (2D-Challenge 1.0, sample 6) provided by the International DIC Challenge Committee (IDCC) was used for displacement analysis. The analyzed error results show that the proposed method is better than the published literature in accuracy. The second simulation experimental result with a strain of 50% is performed and the corresponding displacement accuracy is about 0.0032 pixel under the condition of 41 × 41 subset. Finally, a 14.85% uniaxial tensile test of a silicone rubber specimen is performed, and the analyzed displacement and strain distribution are given. 本文提出了一种在频域中考虑应变对位移影响的频域数字图像相关方法. 研究并建立了一个在频域中评价参考图像子区与目标图像子区之间匹配的评价标准, 并在此基础之上, 提出了可用于位移和应变计算的频域迭代算法, 其中, Hessian矩阵在迭代过程中保持不变. 在Hessian矩阵的形成过程中, 参考图像子区中灰度的梯度可以通过快速傅里叶变换进行计算, 具有很高的计算效率和精度.同时, 一种离散傅里叶变换重采样技术被用于代替传统的插值方法对变形图像子区中亚像素位置的灰度进行重建和更新. 为了验证所提方法的有效性和准确性, 使用了国际DIC挑战委员会(IDCC)提供的系列图像(2D-Challenge 1.0, 样本6)进行位移分析. 分析的误差结果表明, 在子区大小为41 × 41像素的条件下, 对变形为50%的模拟实验进行了计算, 位移分析结果的精度约为0.0032像素(最大绝对值误差), 在精度上优于已发表的文献. 最后, 对硅橡胶试件进行了14.85%的单轴拉伸试验, 通过相关系数分布检验了本文所提方法在实际应用中的有效性, 并给出了分析的位移和应变分布.
ArticleNumber	422430
Author	Lei, Jian Yang, Yongbo Xie, Yuyang Han, Shihao He, Yuming
Author_xml	– sequence: 1 givenname: Shihao surname: Han fullname: Han, Shihao organization: Department of Mechanics, Huazhong University of Science and Technology, Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment – sequence: 2 givenname: Yuming surname: He fullname: He, Yuming email: ymhe@hust.edu.cn organization: Department of Mechanics, Huazhong University of Science and Technology, Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment – sequence: 3 givenname: Jian surname: Lei fullname: Lei, Jian email: swordlei@hust.edu.cn organization: Department of Mechanics, Huazhong University of Science and Technology, Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment – sequence: 4 givenname: Yuyang surname: Xie fullname: Xie, Yuyang organization: Department of Mechanics, Huazhong University of Science and Technology, Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment – sequence: 5 givenname: Yongbo surname: Yang fullname: Yang, Yongbo organization: Wuhan Sinorock Technology Co., Ltd
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Snippet	A spectral image correlation method considering the effect of displacement gradients upon displacement analysis in the Fourier frequency domain is proposed. A...
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SubjectTerms	Accuracy Classical and Continuum Physics Computational Intelligence Correlation Correlation analysis Digital imaging Displacement Engineering Engineering Fluid Dynamics Error analysis Fast Fourier transformations Fourier transforms Frequency domain analysis Hessian matrices Interpolation Iterative algorithms Iterative methods Mathematical analysis Pixels Resampling Research Paper Silicone rubber Strain distribution Tensile tests Theoretical and Applied Mechanics
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Title	A strain mode spectral digital image correlation method for displacement field analysis
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