Accelerating spectral digital image correlation computation with Taylor series image reconstruction
韩世豪 1何玉明 1胡轶宇 1雷剑 1杨永波2
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作者信息
1. Department of Mechanics,Huazhong University of Science and Technology,Wuhan 430074,China;Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment,Wuhan 430074,China
In this paper,we introduce an accelerating algorithm based on the Taylor series for reconstructing target images in the spectral digital image correlation method(SDIC).The Taylor series image reconstruction method is employed instead of the previous direct Fourier transform(DFT)image reconstruction method,which consumes the majority of the computational time for target image reconstruction.The partial derivatives in the Taylor series are computed using the fast Fourier transform(FFT)of the entire image,following the principles of Fourier transform theory.To examine the impact of different orders of Taylor series expansion on accuracy and efficiency,we employ third-and fourth-order Taylor series image reconstruction methods and compare them with the DFT image reconstruction method through simulated experiments.As a result of these en-hancements,the computational efficiency using the third-and fourth-order Taylor series improves by factors of 57 and 46,respectively,compared to the previous method.In terms of analysis accuracy,within a strain range of 0-0.1 and without the addition of image noise,the accuracy of the proposed method increases with higher expansion orders,surpassing that of the DFT image reconstruction method when the fourth order is utilized.However,when different levels of Gaussian noise are applied to simulated images individually,the accuracy of the third-or fourth-order Taylor series expansion method is superior to that of the DFT reconstruction method.Finally,we present the analyzed experimental results of a silicone rubber plate specimen with bilateral cracks under uniaxial tension.
关键词
Digital image correlation/Taylor series expansion/Image reconstruction/Strain measurement
Key words
Digital image correlation/Taylor series expansion/Image reconstruction/Strain measurement
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基金项目
National Natural Science Foundation of China(12272145)
National Natural Science Foundation of China(11972013)
Ministry of Science and Technology of China(2018YFF01014200)
Hubei Provincial Natural Science Foundation of China(2022CFB288)
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