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Instrumentation, Measurement, and Metrology

Full-field strain measurement using a two-dimensional Savitzky-Golay digital differentiator in digital image correlation

[+] Author Affiliations
Bing Pan

Tsinghua University, Department of Engineering Mechanics, Beijing, China 100084

Huimin Xie

Tsinghua University, Department of Engineering Mechanics, Beijing, China 100084

Zhiqing Guo

Tsinghua University, Department of Engineering Mechanics, Beijing, China 100084

Tao Hua

Tsinghua University, Department of Engineering Mechanics, Beijing, China 100084

Opt. Eng. 46(3), 033601 (March 29, 2007). doi:10.1117/1.2714926
History: Received March 20, 2006; Revised July 23, 2006; Accepted September 26, 2006; Published March 29, 2007
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Many published research works regarding digital image correlation (DIC) have been focused on the improvements of the accuracy of displacement estimation. However, the original displacement fields calculated at discrete locations using DIC are unavoidably contaminated by noises. If the strain fields are directly computed by differentiating the original displacement fields, the noises will be amplified even at a higher level, and the resulting strain fields are untrustworthy. Based on the principle of local least-square fitting using two-dimensional (2D) polynomials, a 2D Savitzky-Golay (SG) digital differentiator is deduced and used to calculate strain fields from the original displacement fields obtained by DIC. The calculation process can be easily implemented by convolving the SG digital differentiator with the estimated displacement fields. Both homogeneous and inhomogeneous deformation images are employed to verify the proposed technique. The calculated strain fields clearly demonstrate that the proposed technique is simple and effective.

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© 2007 Society of Photo-Optical Instrumentation Engineers

Citation

Bing Pan ; Huimin Xie ; Zhiqing Guo and Tao Hua
"Full-field strain measurement using a two-dimensional Savitzky-Golay digital differentiator in digital image correlation", Opt. Eng. 46(3), 033601 (March 29, 2007). ; http://dx.doi.org/10.1117/1.2714926


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