Abstract
The bi-prism-based single lens 3D digital image correlation (BSL 3D DIC) technique is a 3D DIC method developed in recent years. The BSL 3D DIC is able to reconstruct the morphology of an object and track its 3D displacements using only a single camera, which significantly improves the integration level of the 3D DIC system and simplifies the system calibration process. In this paper, a novel and practical shape retrieval method is proposed to improve the measurement accuracy of the BSL 3D DIC technique and expand its applicability to strain measurement. The proposed method is based on a geometrical optics analysis using the reverse ray tracing method, which is performed in 3D space and takes into account the possible model errors induced by the system misalignment and the lens distortion. Experimental results demonstrate that the proposed method suffers from only a small error in morphology reconstruction (less than 0.3 %) and is able to measure the in-plane elastic strains with an accuracy of 95 με.
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References
Sutton MA, Orteu JJ, Schreier HW (2009) Image correlation for shape, motion and deformation measurements. Springer
Wang ZY, Kieu H, Nguyen H, Le M (2015) Digital image correlation in experimental mechanics and image registration in computer vision: similarities, differences and complements. Opt Laser Eng 65:18–27
Pan B, Qian KM, Xie HM, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20:062001
Pan B, Yu LP, Wu DF (2013) High-accuracy 2D digital image correlation measurements with bilateral telecentric lenses: error analysis and experimental verification. Exp Mech 53:1719–1733
Liu ZW, Gao JX (2011) Deformation-pattern-based digital speckle correlation for coefficient of thermal expansion evaluation of film. Opt Express 19(18):17469–17479
Gao JX, Shang HX (2009) Deformation-pattern-based digital image correlation method and its application to residual stress measurement. Appl Opt 48(7):1371–1381
Sutton MA, Yana JH, Tiwari V, Schreier HW, Orteu JJ (2008) The effect of out-of-plane motion on 2D and 3D digital image correlation measurements. Opt Laser Eng 46:746–757
Lava P, Coppieters S, Wang Y, Houtte PV, Debruyne D (2011) Error estimation in measuring strain fields with DIC on planar sheet metal specimens with a non-perpendicular camera alignment. Opt Laser Eng 49:57–65
Luo PF, Chao YJ, Sutton MA, Peters WH III (1993) Accurate measurement of three-dimensional deformations in deformable and rigid bodies using computer vision. Exp Mech 33(2):123–132
Hu ZX, Xie HM, Lu J, Hua T, Zhu JG (2010) Study of the performance of different subpixel image correlation methods in 3D digital image correlation. Appl Opt 49(21):4044–4051
Chen FX, Chen X, Xie X, Feng X, Yang LX (2013) Full-field 3D measurement using multi-camera digital image correlation system. Opt Laser Eng 51:1044–1052
Chen X, Yang LX, Xu N, Xie X, Sia B, Xu R (2014) Cluster approach based multi-camera digital image correlation: methodology and its application in large area high temperature measurement. Opt Laser Eng 57:318–326
Kieu H, Pan TY, Wang ZY, Le M, Nguyen H, Vo M (2014) Accurate 3D shape measurement of multiple separate objects with stereo vision. Meas Sci Technol 25:035401
Chen X, Xu N, Yang LX, Xiang D (2012) High temperature displacement and strain measurement using a monochromatic light illuminated stereo digital image correlation system. Meas Sci Technol 23:125603
Pan B, Wu DF, Yu LP (2012) Optimization of a three-dimensional digital image correlation system for deformation measurements in extreme environments. Appl Opt 51(19):4409–4419
Hu ZX, Xie HM, Lu J, Zhu JG, Wang HX (2013) Residual stresses measurement by using ring-core method and 3D digital image correlation technique. Meas Sci Technol 24:085604
Genovese K, Casaletto L, Rayas JA, Flores V, Martinez A (2013) Stereo-digital image correlation (DIC) measurements with a single camera using a biprism. Opt Lasers Eng 51(3):278–285
Lee DH, Kweon I, Cipolla R (1999) A biprism-stereo camera system. Proc IEEE Conf Comput Vision Pattern Recognition (IEEE, 1999):82–87
Lee DH, Kweon I (2000) A novel stereo camera system by a biprism. IEEE Trans Rob Autom 16(5):528–541
Lim KB, Xiao Y (2005) Virtual stereovision system: new understanding on single-lens stereovision using a biprism. J Electron Imaging 14(4):043020
Xiao Y, Lim KB (2007) A prism-based single-lens stereovision system: from trinocular to multi-ocular. Image Vision Comput 25:1725–1736
Lim KB, Wang DL, Kee WL (2012) Virtual camera rectification with geometrical approach on single-lens stereovision using a biprism. J Electron Imaging 21(2):023003
Lim KB, Kee WL, Wang DL (2013) Virtual camera calibration and stereo correspondence of single-lens bi-prism stereovision system using geometrical approach. Signal Process-Image 28:1059–1071
Cui XY, Lim KB, Guo QY, Wang DL (2012) Accurate geometrical optics model for single-lens stereovision system using a prism. J Opt Soc Am A 29(9):1828–1837
Cui XY, Lim KB, Zhao Y, Kee WL (2014) Single-lens stereovision system using a prism: position estimation of a multi-ocular prism. J Opt Soc Am A 31(5):1074–1082
Cui XY, Zhao Y, Lim KB, Wu T (2015) Perspective projection model for prism-based stereovision. Opt Express 23(21):27542–27557
Reu PL, Sweatt W, Miller T, Fleming D (2015) Camera system resolution and its influence on digital image correlation. Exp Mech 55:9–25
Wu LF, Zhu JG, Xie HM (2014) A modified virtual point model of the 3D DIC technique using a single camera and a bi-prism. Meas Sci Technol 25(11):115008
Wu LF, Zhu JG, Xie HM (2015) Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: validation and application. Appl Opt 54(26):7842–7850
Wu LF, Zhu JG, Xie HM, Zhou MM (2016) Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: systematic error analysis and correction. Opt Laser Eng. doi:10.1016/j.optlaseng.2016.02.006
Rodney WS, Spindler RJ (1954) Index of refraction of fused-quartz glass for ultraviolet, visible, and infrared wavelengths. J Res Natl Bur Stand 53(3):185–189
Lava P, Paepegem WV, Coppieters S, Baere ID, Wang Y, Debruyne D (2013) Impact of lens distortions on strain measurements obtained with 2D digital image correlation. Opt Lasers Eng 51:576–584
Pan B, Yu LP, Wu DF, Tang LQ (2013) Systematic errors in two-dimensional digital image correlation due to lens distortion. Opt Lasers Eng 51:140–147
Acknowledgments
The authors are grateful to the financial support from the National Natural Science Foundation of China (Grant Nos. 11232008, 91216301, 11227801, 11372118), Tsinghua University Initiative Scientific Research Program (Grant no. 20121087942).
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Wu, L.F., Zhu, J.G., Xie, H.M. et al. An Accurate Method for Shape Retrieval and Displacement Measurement Using Bi-Prism-Based Single Lens 3D Digital Image Correlation. Exp Mech 56, 1611–1624 (2016). https://doi.org/10.1007/s11340-016-0193-7
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DOI: https://doi.org/10.1007/s11340-016-0193-7