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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 24 — Aug. 20, 2010
  • pp: 4545–4553

Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation

Chen Tang, Linlin Wang, Si Yan, Jian Wu, Liyan Cheng, and Cancan Li  »View Author Affiliations


Applied Optics, Vol. 49, Issue 24, pp. 4545-4553 (2010)
http://dx.doi.org/10.1364/AO.49.004545


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Abstract

The digital speckle correlation method (DSCM) has been widely used to resolve displacement and deformation gradient fields. The computational time and the computational accuracy are still two challenging problems faced in this area. In this paper, we introduce the radial basis function (RBF) interpolation method to DSCM and propose a method for displacement field analysis based on the combination of DSCM with RBF interpolation. We test the proposed method on two computer-simulated and two experimentally obtained deformation measurements and compare it with the widely used Newton– Raphson iteration (NR method). The experimental results demonstrate that our method performs better than the NR method in terms of both quantitative evaluation and visual quality. In addition, the total computational time of our method is considerably shorter than that of the NR method. Our method is particularly suitable for displacement field analysis of large regions.

© 2010 Optical Society of America

OCIS Codes
(120.6150) Instrumentation, measurement, and metrology : Speckle imaging
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: April 9, 2010
Revised Manuscript: August 1, 2010
Manuscript Accepted: August 4, 2010
Published: August 13, 2010

Citation
Chen Tang, Linlin Wang, Si Yan, Jian Wu, Liyan Cheng, and Cancan Li, "Displacement field analysis based on the combination digital speckle correlation method with radial basis function interpolation," Appl. Opt. 49, 4545-4553 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-24-4545


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References

  1. W. H. Peters and W. F. Ranson, “Digital imaging techniques in experimental stress analysis,” Opt. Eng. 21, 427–431 (1982).
  2. T. F. Begemann, “Three-dimensional deformation field measurement with digital speckle correlation,” Appl. Opt. 42, 6783–6796 (2003). [CrossRef]
  3. E. B. Li, A. K. Tieu, and W. Y. D. Yuen, “Application of digital image correlation technique to dynamic measurement of the velocity field in the deformation zone in cold rolling,” Opt. Lasers Eng. 39, 479–488 (2003). [CrossRef]
  4. M. A. Sutton, J. J. Orteu, and H. Schreier, Image Correlation for Shape, Motion and Deformation Measurements (Springer, 2009).
  5. M. Bornert, F. Brémand, P. Doumalin, J. C. Dupré, M. Fazzini, M. Grédiac, F. Hild, S. Mistou, J. Molimard, J. J. Orteu, L. Robert, Y. Surrel, P. Vacher, and B. Wattrisse, “Assessment of digital image correlation measurement errors: methodology and results,” Exp. Mech. 49, 353–370 (2009). [CrossRef]
  6. S. Roux, J. Réthoré, and F. Hild, “Digital image correlation and fracture: an advanced technique for estimating stress intensity factors of 2D and 3D cracks,” J. Phys. D 42, 214004 (2009). [CrossRef]
  7. B. Wattrisse, A. Chrysochoos, J. M. Muracciole, and M. Némoz-Gaillard, “Analysis of strain localization during tensile tests by digital image correlation,” Exp. Mech. 41, 29–39(2001). [CrossRef]
  8. H. A. Bruck, S. R. McNeil, M. A. Sutton, and W. H. Peters, “Digital image correlation using Newton–Raphson method of partial differential correction,” Exp. Mech. 29, 261–267 (1989). [CrossRef]
  9. C. Q. Davis and D. M. Freeman, “Statistics of subpixel registration algorithms based on spatiotemporal gradients or block matching,” Opt. Eng. 37, 1290–1298 (1998). [CrossRef]
  10. P. Zhou and K. E. Goodson, “Subpixel displacement and deformation gradient measurement using digital image/speckle correlation,” Opt. Eng. 40, 1613–1620 (2001). [CrossRef]
  11. D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, “Digital speckle-displacement measurement using a complex spectrum method,” Appl. Opt. 32, 1839–1849 (1993). [CrossRef] [PubMed]
  12. H. Jin and H. Bruck, “Pointwise digital image correlation using genetic algorithms,” Exp. Tech. 29, 36–39 (2005). [CrossRef]
  13. M. C. Pitter, C. W. See, and M. G. Somekh, “Subpixel microscopic deformation analysis using correlation and artificial neural networks,” Opt. Express 8, 322–327 (2001). [CrossRef] [PubMed]
  14. B. Pan, H. M. Xie, B. Q. Xu, and F. L. Dai, “Performance of sub-pixel registration algorithms in digital image correlation,” Meas. Sci. Technol. 17, 1615–1621 (2006). [CrossRef]
  15. J. Zhang, G. Jin, S. Ma, and L. Meng, “Application of an improved subpixel registration algorithm on digital speckle correlation measurement,” Opt. Laser Technol. 35, 533–542(2003). [CrossRef]
  16. Z. Feng and R. E. Rowlands, “Continuous full-field representation and differentiation of three-dimensional experimental vector data,” Comput. Struct. 26, 979–990 (1987). [CrossRef]
  17. X. Dai, Y. C. Chan, and A. C. K. So, “Digital speckle correlation method based on wavelet-packet noise-reduction processing,” Appl. Opt. 38, 3474–3482 (1999). [CrossRef]
  18. M. D. Buhmann, Radial Basis Functions: Theory and Implementations (Cambridge U. Press, 2003). [CrossRef]
  19. G. B. Wright, “Radial basis function interpolation: numerical and analytical developments,” Ph.D. dissertation (University of Colorado, 2003).
  20. J. Duchon,  “Splines minimizing rotation-invariant semi-norms in Sobolev spaces,” Laboratoire de Mathematiques Appliquees. (Springer-Verlag, 1977), pp. 85–100.

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