In order to obtain reliable information about the stress-strain state of the structure, subjected to loading, it is necessary to determine deformations` distribution. In some cases, it is almost impossible to assess stress-strain state with the traditional approaches. However, the DIC methods provide reliable information about the fields of displacement and deformation almost without limitations. Such approaches are rather effective for determination of the stress-strain state on smooth surfaces and in zones with stress concentrators. The DIC method is based on the comparison of the intensity of speckle pictures` distribution of optically rough surfaces. The combination of the intensities of correlation peaks with the corresponding calculation algorithms at the subpixel level makes it possible to obtain high measurement accuracy with simpler hardware compared to electronic interferometry technologies. The main purpose of this work is the detailed analysis of techniques and methods for determination of deformations with the use of digital image correlation. The article includes detailed review of existing studies of this topic and description of main principles for analytical computation of the optical data.

Blikharskyy Ya.Z. & Kopiika N.S. Digital image correlation method for analysis of reinforced concrete structures (2020). Bulletin of Odessa State Academy of Civil Engineering and Architecture, 2020, 78, 27-33 doi: 10.31650/2415-377X-2020-78-27-33.

Bomarito, G. F., Hochhalter, J. D., Ruggles, T. J., & Cannon, A. H. (2017). Increasing accuracy and precision of digital image correlation through pattern optimization. Optics and Lasers in Engineering, 91, 73-85. doi: 10.1016/j.optlaseng.2016.11.005.

Bomarito, G. F., Ruggles, T. J., Hochhalter, J. D., & Cannon, A. H. (2017). Investigation of optimal digital image correlation patterns for deformation measurement. In International Digital Imaging Correlation Society (pp. 217-218). Springer, Cham. doi: 10.1007/978-3-319-51439-0_51.

Bracewell, R. N., & Bracewell, R. N. (1986). The Fourier transform and its applications (Vol. 31999, pp. 267-272). New York: McGraw-Hill.

Buljac, A., Jailin, C., Mendoza, A., Neggers, J., Taillandier-Thomas, T., Bouterf, A., & Roux, S. (2020). Digital volume correlation: progress and challenges. In Advancements in Optical Methods & Digital Image Correlation in Experimental Mechanics, Volume 3 (pp. 113-115). Springer, Cham. doi: 10.1007/978-3-030-30009-8_17

Cannon, A. H., Hochhalter, J. D., Bomarito, G. F., & Ruggles, T. (2017). Micro speckle stamping: High contrast, no basecoat, repeatable, well-adhered. In International Digital Imaging Correlation Society (pp. 141-143). Springer, Cham. doi: 10.1007/978-3-319-51439-0_34.

Carter, J. L., Uchic, M. D., & Mills, M. J. (2015). Impact of speckle pattern parameters on DIC strain resolution calculated from in-situ SEM experiments. In Fracture, Fatigue, Failure, and Damage Evolution, Volume 5 (pp. 119-126). Springer, Cham. doi: 10.1007/978-3-319-06977-7_16

Chen D.J. Chiang F.P. Computer speckle interferometry// Proc. Of Intern. Confer. On Hologram interferometry and Speckle Metrology.- Baltimore: Society for Experimental Mechanics, 1990.- P.49-58.

Chen, D. J., & Chiang, F. P. (1993). Computer-aided speckle interferometry using spectral amplitude fringes. Applied Optics, 32(2), 225-236. doi: 10.1364/AO.32.000225.

Chen, D. J., Chiang, F. P., Tan, Y. S., & Don, H. S. (1993). Digital speckle-displacement measurement using a complex spectrum method. Applied optics, 32(11), 1839-1849. doi:

Chen, Z., Quan, C., Zhu, F., & He, X. (2015). A method to transfer speckle patterns for digital image correlation. Measurement science and technology, 26(9), 095201. doi: 10.1088/0957-0233/26/9/095201.

Chen, Z., Xu, X., Wu, J., & He, X. (2017). Optimization of speckle pattern for digital image correlation. In International Digital Imaging Correlation Society (pp. 29-31). Springer, Cham. doi: 10.1007/978-3-319-51439-0_7.

Cintrón, R., & Saouma, V. (2008). Strain measurements with the digital image correlation system Vic-2D. System, 106, 2D.

Denys, K., Coppieters, S., & Debruyne, D. (2017). Identification of a 3D Anisotropic Yield Surface Using a Multi-DIC Setup. In International Digital Imaging Correlation Society (pp. 101-104). Springer, Cham.. doi: 10.1007/978-3-319-51439-0_24.

Greivenkamp, J. E. (1992). Phase shifting interferometers. Optical shop testing, 501-598.

Jones, E. M. C., Carroll, J. D., Karlson, K. N., Kramer, S. L. B., Lehoucq, R. B., Reu, P. L., & Turner, D. Z. (2017). Combining Full-Field Measurements and Inverse Techniques for Smart Material Testing. In International Digital Imaging Correlation Society (pp. 37-39). Springer, Cham. doi: 10.1007/978-3-319-51439-0_9

Jones, R., Wykes, C., & Wykes, J. (1989). Holographic and speckle interferometry (No. 6). Cambridge university press.

Kramer, S., Reu, P., & Bonk, S. (2017). A speckle patterning study for laboratory-scale DIC experiments. In International Digital Imaging Correlation Society (pp. 33-35). Springer, Cham. doi: 10.1007/978-3-319-51439-0_8.

Kumar, B. V., & Hassebrook, L. (1990). Performance measures for correlation filters. Applied optics, 29(20), 2997-3006.doi: 10.1364/AO.29.002997.

Lee, J., Kim, E. J., Gwon, S., Cho, S., & Sim, S. H. (2019). Uniaxial static stress estimation for concrete structures using digital image correlation. Sensors, 19(2), 319.doi: 10.3390/s19020319.

Majumder, S., Gupta, S., & Dubey, S. (2020). Spectral imaging using compressive sensing-based single-pixel modality. Electronics Letters, 56(19), 1013-1016. doi: 10.1049/el.2020.0757

Mazzoleni, P., Zappa, E., Matta, F., & Sutton, M. A. (2015). Thermo-mechanical toner transfer for high-quality digital image correlation speckle patterns. Optics and Lasers in Engineering, 75, 72-80. doi: 10.1016/j.optlaseng.2015.06.009.

Optical 3D Deformation Analysis. ARAMIS Manual (GOM Company) Retrieved from:

Poozesh, P., Sarrafi, A., Niezrecki, C., Mao, Z., & Avitabile, P. (2017). Extracting high frequency operating shapes from 3D DIC measurements and phased-based motion magnified images. In International Digital Imaging Correlation Society (pp. 81-83). Springer, Cham. doi: 10.1007/978-3-319-51439-0_20.

Rossi, M., Cortese, L., Genovese, K., Lattanzi, A., Nalli, F., & Pierron, F. (2018). Evaluation of volume deformation from surface DIC measurement. Experimental Mechanics, 58(7), 1181-1194. doi: 10.1007/s11340-018-0409-0.

Saldaña, H.A., Márquez Aguilar, P.A. & Molina, O.A. (2015) Concrete Stress-Strain Characterization by Digital Image Correlation, Journal of Applied Mechanical Engineering, 4 (189), 6,1-5. doi: 10.4172/2168-9873.1000189.

Schreier, H. W., Braasch, J. R., & Sutton, M. A. (2000). Systematic errors in digital image correlation caused by intensity interpolation. Optical engineering, 39(11), 2915-2921. doi: 10.1117/1.1314593

Segouin, V., Domenjoud, M., Bernard, Y., & Daniel, L. (2017). Development of a 2D DIC experimental tool for piezoelectric strains measurements. In International Digital Imaging Correlation Society (pp. 45-50). Springer, Cham. doi: 10.1007/978-3-319-51439-0_11.

Sjodahl M. (2001) Digital speckle pattern interferometry and related techniques. Digital Speckle Photography/ Ed. By P.K. Rastogi.- Chichester; John Wiley and Sons, -P.289-336.

Sjödahl, M. (1994). Electronic speckle photography: increased accuracy by nonintegral pixel shifting. Applied Optics, 33(28), 6667-6673.doi: 10.1364/AO.33.006667.

Sjödahl, M. (1998). Some recent advances in electronic speckle photography. Optics and lasers in engineering, 29(2-3), 125-144.doi: 10.1016/S0143-8166(97)00081-X.

Sjödahl, M., & Benckert, L. R. (1993). Electronic speckle photography: analysis of an algorithm giving the displacement with subpixel accuracy. Applied Optics, 32(13), 2278-2284.doi:

Sutton, M. A., Wolters, W. J., Peters, W. H., Ranson, W. F., & McNeill, S. R. (1983). Determination of displacements using an improved digital correlation method. Image and vision computing, 1(3), 133-139.doi: 10.1016/0262-8856(83)90064-1.

VIC-2D. Refrence Manual. Correlated Solutions. Retrieved from:

Yamaguchi, I. (2003, May). Fundamentals and applications of speckle. In Speckle Metrology 2003 (Vol. 4933, pp. 1-8). International Society for Optics and Photonics. doi: 10.1117/12.516567.

Yasmeen, F., Rajan, S., Sutton, M. A., & Schreier, H. W. (2017). Experimental study of measurement errors in 3D-DIC due to out-of-plane specimen rotation. In International Digital Imaging Correlation Society (pp. 211-215). Springer, Cham. doi: 10.1007/978-3-319-51439-0_50.

Zappa, E., & Hasheminejad, N. (2017). Digital image correlation technique in dynamic applications on deformable targets. Experimental Techniques, 41(4), 377-387. doi: 10.1007/s40799-017-0184-3.