Skip to main content
Log in

Mirror-assisted Multi-view Digital Image Correlation with Improved Spatial Resolution

  • Research paper
  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

Accurate measurements of panoramic/dual-surface kinematic fields are essential to elastoplastic mechanics for the determination of true stress-strain curves, through-thickness strain and the identification of 3D anisotropic parameters. Recently, a novel mirror-assisted multi-view digital image correlation (DIC) method that uses only a two-camera stereo-DIC system and two auxiliary planar mirrors was proposed. It has been convincingly demonstrated to be a cost-efficient and effective technique for measuring 360-deg panoramic/dual-surface kinematic fields. Nevertheless, in this method, the mirrors need to be partly decorated with speckle patterns and the latter clearly captured by the cameras to estimate the reflection transformation of both mirrors. Capturing the speckle patterns on the two mirrors occupies a part of the precious spatial resolution of the cameras, considerably reducing the effective spatial resolution left for the DIC measurement. In this work, an alternative method for estimating the reflection transformation is proposed to improve the spatial resolution of the mirror-assisted multi-view DIC. This method estimates the reflection transformation of the two mirrors by adjusting the mirrors to three or more diverse poses, thus eliminating the need of speckling the mirrors. A set of real tests were carried out, and the results well demonstrated the accuracy and effectiveness of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Luo PF, Chao YJ, Sutton MA, Peters WH (1993) Accurate measurement of three-dimensional deformations in deformable and rigid bodies using computer vision. Exp Mech 33:123–132

    Article  Google Scholar 

  2. Schreier H, Orteu J-J, Sutton MA (2009) Image correlation for shape, motion and deformation measurements. Springer, Boston

    Book  Google Scholar 

  3. Pan B (2018) Digital image correlation for surface deformation measurement: historical developments, recent advances and future goals. Meas Sci Technol 29:082001

    Article  Google Scholar 

  4. Genovese K, Casaletto L, Rayas JA et al (2013) Stereo-digital image correlation (DIC) measurements with a single camera using a biprism. Opt Lasers Eng 51:279–285

    Article  Google Scholar 

  5. Pan B, Yu LP, Zhang QB (2018) Review of single-camera stereo-digital image correlation techniques for full-field 3D shape and deformation measurement. Sci China Technol Sci 61:2–20

    Article  Google Scholar 

  6. Chen B, Pan B (2018) Full-field surface 3D shape and displacement measurements using an unfocused plenoptic camera. Exp Mech 58:831–845

    Article  Google Scholar 

  7. Pan B, Li K, Tong W (2013) Fast, robust and accurate digital image correlation calculation without redundant computations. Exp Mech 53:1277–1289

    Article  Google Scholar 

  8. Huang JW, Zhang LQ, Jiang ZY et al (2018) Heterogeneous parallel computing accelerated iterative subpixel digital image correlation. Sci China Technol Sci 61:74–85

    Article  Google Scholar 

  9. Yu L, Pan B (2017) Single-camera high-speed stereo-digital image correlation for full-field vibration measurement. Mech Syst Signal Process 94:374–383

    Article  Google Scholar 

  10. Dong Y, Pan B (2019) In-situ 3D shape and recession measurements of ablative materials in an arc-heated wind tunnel by UV stereo-digital image correlation. Opt Lasers Eng 116:75–81

    Article  Google Scholar 

  11. Chen B, Pan B (2019) Calibration-free single camera stereo-digital image correlation for small-scale underwater deformation measurement. Opt Express 27:10509

    Article  Google Scholar 

  12. Hu ZX, Xu TG, Wang XM et al (2018) Fluorescent digital image correlation techniques in experimental mechanics. Sci China Technol Sci 61:21–36

    Article  Google Scholar 

  13. Genovese K, Chi Y, Pan B (2019) Stereo-camera calibration for large-scale DIC measurements with active phase targets and planar mirrors. Opt Express 27:9040

    Article  Google Scholar 

  14. Zhang H, Coppieters S, Jiménez-Peña C, Debruyne D (2019) Inverse identification of the post-necking work hardening behaviour of thick HSS through full-field strain measurements during diffuse necking. Mech Mater 129:361–374

    Article  Google Scholar 

  15. Langford W F, Snyder S C, Bausch J (1950) New criteria for predicting the press performance of deep drawing sheets. Trans ASM

    Google Scholar 

  16. Orteu JJ, Bugarin F, Harvent J et al (2011) Multiple-camera instrumentation of a single point incremental forming process pilot for shape and 3D displacement measurements: methodology and results. Exp Mech 51:625–639

    Article  Google Scholar 

  17. Wang Y, Lava P, Coppieters S et al (2013) Application of a multi-camera stereo DIC set-up to assess strain fields in an Erichsen test: methodology and validation. Strain 49:190–198

    Article  Google Scholar 

  18. Herr HM, Solav D, Genovese K et al (2018) MultiDIC: an open-source toolbox for multi-view 3D digital image correlation. IEEE Access 6:30520–30535

    Article  Google Scholar 

  19. Siebert T, Tran V (2015) Multi-camera DIC offers new dimensions in material testing. Springer, Berlin

    Book  Google Scholar 

  20. Li J, Yang G, Siebert T et al (2018) A method of the direct measurement of the true stress–strain curve over a large strain range using multi-camera digital image correlation. Opt Lasers Eng 107:194–201

    Article  Google Scholar 

  21. Genovese K, Cortese L, Rossi M, Amodio D (2016) A 360-deg digital image correlation system for materials testing. Opt Lasers Eng 82:127–134

    Article  Google Scholar 

  22. Badel P, Genovese K, Avril S (2012) 3D residual stress field in arteries: novel inverse method based on optical full-field measurements. Strain 48:528–538

    Article  Google Scholar 

  23. Chen B, Pan B (2019) Mirror-assisted panoramic-digital image correlation for full-surface 360-deg deformation measurement. Meas J Int Meas Confed 132:350–358

    Article  Google Scholar 

  24. Chen B, Pan B (2019) Through-thickness strain field measurement using the mirror-assisted multi-view digital image correlation. Mech Mater 137:103104

    Article  Google Scholar 

  25. Pan B, Chen B (2019) A novel mirror-assisted multi-view digital image correlation for dual-surface shape and deformation measurements of sheet samples. Opt Lasers Eng 121:512–520

    Article  Google Scholar 

  26. Takahashi K, Nobuhara S, Matsuyama T (2012) A new mirror-based extrinsic camera calibration using an orthogonality constraint. Proc IEEE Comput Soc Conf Comput Vis Pattern Recognit:1051–1058

  27. Zhang Z (1999) Flexible camera calibration by viewing a plane from unknown orientations. Proc Seventh IEEE Int Conf Comput Vis 1:666–673

    Article  Google Scholar 

  28. Hartley R, Zisserman A (2004) Multiple view geometry in computer vision. Cambridge University Press, Cambridge

    Book  Google Scholar 

  29. Pan B (2009) Reliability-guided digital image correlation for image deformation measurement. Appl Opt 48:1535

    Article  Google Scholar 

  30. Pan B, Asundi A, Xie H, Gao J (2009) Digital image correlation using iterative least squares and pointwise least squares for displacement field and strain field measurements. Opt Lasers Eng 47:865–874

    Article  Google Scholar 

  31. Pan B, Shi W, Lubineau G et al (2015) Effect of camera temperature variations on stereo-digital image correlation measurements. Appl Opt 54:10089

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by National Key Research and Development Program of China (2018YFB0703500), the National Natural Science Foundation of China (NSFC) (11925202, 11872009, 11632010), National Major Science and Technology Projects of China (CN) (ZX069), and the Academic Excellence Foundation of BUAA for PhD Students.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Pan.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Electronic supplementary material

ESM 1

(PDF 241 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, B., Zhao, J. & Pan, B. Mirror-assisted Multi-view Digital Image Correlation with Improved Spatial Resolution. Exp Mech 60, 283–293 (2020). https://doi.org/10.1007/s11340-019-00563-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-019-00563-7

Keywords

Navigation