A digital volume correlation technique for 3-D deformation measurements of soft gels

International Journal of Applied Mechanics

Volumn 3, Issue 2, 2011, Pages 335-354

  Huang, Jianyong ^a   Pan, Xiaochang ^a   Li, Shanshan ^a   Peng, Xiaoling ^a   Xiong, Chunyang ^a   Fang, Jing ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

3 D deformation measurements; confocal microscopy; Digital volume correlation; soft materials

Indexed keywords

3-D DEFORMATION; 3-D DISPLACEMENT; AGAROSE GEL; CORRELATION COMPUTATIONS; CROSS CORRELATIONS; DIGITAL IMAGE CORRELATIONS; DIGITAL VOLUME CORRELATION TECHNIQUE; FAST ALGORITHMS; FLUORESCENT PARTICLE; GRADIENT BASED ALGORITHM; LASER SCANNING CONFOCAL MICROSCOPY; NEWTON-RAPHSON ALGORITHM; SOFT GELS; SOFT MATERIAL; STRAIN FIELDS; SUB-VOXEL REGISTRATION; VOLUME CORRELATIONS; VOLUME IMAGE;

ALGORITHMS; CONFOCAL MICROSCOPY; CORRELATION METHODS; DEFORMATION; FAST FOURIER TRANSFORMS; GELS; STRAIN MEASUREMENT;

THREE DIMENSIONAL;

EID: 79959970467     PISSN: 17588251     EISSN: 1758826X     Source Type: Journal    
DOI: 10.1142/S1758825111001019     Document Type: Article

References (57)

1. Barron, J. L., Fleet, D. J. and Beauchemin, S. S. [1994] "Performance of optical-flow techniques," Int. J. Comput. Vis. 12(1), 43-77.
2. Bay, B. K., Smith, T. S. Fyhrie, D. P. and Saad M. [1999] "Digital volume correlation: Three-dimensional strain mapping using X-ray tomography," Exp. Mech. 39(3), 217-226. (Pubitemid 29524573)
3. Bloom, R. J., George, J. P., Celedon, A., Sun, S. X. and Wirtz, D. [2008] "Mapping local matrix remodeling induced by a migrating tumor cell using three-dimensional multiple-particle tracking," Biophys. J. 95(8), 4077-4088.
4. Briechle, K. and Hanebeck, U. D. [2001] "Template matching using fast normalized cross correlation," Proc. SPIE 4387, 95-102. (Pubitemid 32638472)
5. Bruck, H. A., Mcneillm, S. R., Sutton, M. A. and Peters, W. H. [1989] "Digital image correlation using Newton-Raphson method of partial-differential correction," Exp. Mech. 29(3), 261-267. (Pubitemid 20612785)
6. Butler, J. P., Tolic-Norrelykke, I. M., Fabry, B. and Fredberg, J. J. [2002] "Traction fields, moments, and strain energy that cells exert on their surroundings," Am. J. Physiol. Cell Physiol. 282(3), C595-C605. (Pubitemid 34663176)
7. Davis, C. Q. and Freeman, D. M. [1998] "Statistics of subpixel registration algorithms based on spatiotemporal gradients or block matching," Opt. Eng. 37(4), 1290-1298. (Pubitemid 128493259)
8. del Alamo, J. C., Meili, R., Alonso-Latorre, B., Rodriguez-Rodriguez, J., Aliseda, A., Firtel, R. A. and Lasheras, J. C. [2007] "Spatio-temporal analysis of eukaryotic cell motility by improved force cytometry," Proc. Natl. Acad. Sci. USA 104(33), 13,343-13,348. (Pubitemid 47293947)
9. Dembo, M. and Wang, Y. L. [1999] "Stresses at the cell-to-substrate interface during locomotion of fibroblasts," Biophys. J. 76(4), 2307-2316. (Pubitemid 29266384)
10. Digman, M. A.,Wiseman, P. W., Horwitz, A. R. and Gratton, E. [2009] "Detecting protein complexes in living cells from laser scanning confocal image sequences by the cross correlation raster image spectroscopy method," Biophys. J. 96(2), 707-716.
11. Discher, D., Dong, C., Fredberg, J. J., Guilak, F., Ingber, D., Janmey, P., Kamm, R. D., Schmid-Schonbein, G. W. and Weinbaum, S. [2009] "Biomechanics: Cell research and applications for the next decade," Ann. Biomed. Eng. 37(5), 847-859.
12. Engler, A. J., Sen, S., Sweeney, H. L. and Discher, D. E. [2006] "Matrix elasticity directs stem cell lineage specification," Cell 126(4), 677-689. (Pubitemid 44233625)
13. Forsberg, F., Mooser, R., Arnold, M., Hack, E. and Wyss, P. [2008] "3D micro-scale deformations of wood in bending: Synchrotron radiation μCT data analyzed with digital volume correlation," J. Struct. Biol. 164(3), 255-262.
14. Forsberg, F., Sjodahl, M., Mooser, R., Hack, E. andWyss, P. [2010] "Full three-dimensional strain measurements on wood exposed to three-point bending: Analysis by use of digital volume correlation applied to synchrotron radiation micro-computed tomography image data," Strain 46(1), 47-60.
15. Franck, C., Hong, S., Maskarinec, S. A., Tirrell, D. A. and Ravichandran, G. [2007] "Threedimensional full-field measurements of large deformations in soft materials using confocal microscopy and digital volume correlation," Exp. Mech. 47(3), 427-438. (Pubitemid 46767428)
16. Geiger, B., Bershadsky, A., Pankov, R. and Yamada, K. M. [2001] "Transmembrane extracellular matrix-cytoskeleton crosstalk," Nat. Rev. Mol. Cell Biol. 2(11), 793-805. (Pubitemid 33674080)
17. Geiger, B., Spatz, J. P. and Bershadsky, A. D. [2009] "Environmental sensing through focal adhesions," Nat. Rev. Mol. Cell Biol. 10(1), 21-33.
18. Germaneau, A., Doumalin, P. and Dupre, J. C. [2007] "3D strain field measurement by correlation of volume images using scattered light: Recording of images and choice of marks," Strain 43(3), 207-218. (Pubitemid 47103016)
19. Hii, A., Hann, C. E., Chase, J. G. and Van Houten, E. [2006] "Fast normalized cross correlation for motion tracking using basis functions," Comput. Meth. Programs Biomed. 82(2), 144-156.
20. Hild, F. and Roux, S. [2006] "Digital image correlation: From displacement measurement to identification of elastic properties - A review," Strain 42(2), 69-80.
21. Huang, J. Y., Peng, X. L., Qin, L., Zhu, T., Xiong, C. Y., Zhang, Y. Y. and Fang, J. [2009a] "Determination of cellular tractions on elastic substrate based on an integral Boussinesq solution," J. Biomech. Eng. Trans. ASME 131(6), 061009.
22. Huang, J. Y., Qin, L., Peng, X. L., Zhu, T., Xiong, C. Y., Zhang, Y. Y. and Fang, J. [2009b] "Cellular traction force recovery: An optimal filtering approach in two-dimensional Fourier space," J. Theor. Biol. 259(4), 811-819.
23. Huang, J. Y., Zhu, T., Qin, L., Peng, X. L., Xiong, C. Y. and Fang, J. [2009c] "Study on mechanical interactions between single cardiac myocyte and elastic substrate," Acta Mech. Solida Sin. 22(6), 563-570.
24. Huang, J. Y., Zhu, T., Pan, X. C., Qin, L., Peng, X. L., Xiong, C. Y. and Fang, J. [2010a] "A high-efficiency digital image correlation method based on a fast recursive scheme," Meas. Sci. Technol. 21(3), 035101.
25. Huang, J. Y., Pan, X. C., Peng, X. L., Zhu, T., Qin, L., Xiong, C. Y. and Fang, J. [2010b] "High-efficiency cell-substrate displacement acquisition via digital image correlation method using basis functions," Opt. Lasers Eng. 48(11), 1058-1066.
26. Knight, M. M., Toyoda, T., Lee, D. A. and Bader, D. L. [2006] "Mechanical compression and hydrostatic pressure induce reversible changes in actin cytoskeletal organisation in chondrocytes in agarose," J. Biomech. 39(8), 1547-1551.
27. Lenoir, N., Bornert, M., Desrues, J., Besuelle, P. and Viggiani, G. [2007] "Volumetric digital image correlation applied to X-ray microtomography images from triaxial compression tests on argillaceous rock," Strain 43(3), 193-205. (Pubitemid 47103015)
28. Lutolf, M. P. [2009] "Integration column: Artificial ECM: Expanding the cell biology toolbox in 3D," Integr. Biol. 1(3), 235-241.
29. Marganski, W. A., Dembo, M. and Wang, Y. L. [2003] "Measurements of cell-generated deformations on flexible substrata using correlation-based optical flow," Methods Enzymol. 361, 197-211. (Pubitemid 36241000)
30. Orteu, J. J. [2009] "3-D computer vision in experimental mechanics," Opt. Lasers Eng. 47(3-4), 282-291.
31. Pan, B., Xie, H. M., Xu, B. Q. and Dai, F. L. [2006] "Performance of sub-pixel registration algorithms in digital image correlation," Meas. Sci. Technol. 17(6), 1615-1621. (Pubitemid 43787587)
32. Pan, B., Qian, K. M., Xie, H. M. and Asundi, A. [2009] "Two-dimensional digital image correlation for in-plane displacement and strain measurement: A review," Meas. Sci. Technol. 20(6), 062001.
33. Pedersen, J. A. and Swartz, M. A. [2005] "Mechanobiology in the third dimension," Ann. Biomed. Eng. 33(11), 1469-1490. (Pubitemid 41801636)
34. Peters, W. H. and Ranson, W. F. [1982] "Digital imaging techniques in experimental stress analysis," Opt. Eng. 21(3), 427-431. (Pubitemid 12551631)
35. Press, W. H., Teukolsky, S. A., Vetterling W. T. and Flannery, B. P. [2007] Numerical Recipes: The Arts of Scientific Computing (Cambridge University Press, Cambridge).
36. Qin, L., Huang, J. Y., Xiong, C. Y., Zhang, Y. Y. and Fang, J. [2007] "Dynamical stress characterization and energy evaluation of single cardiac myocyte actuating on flexible substrate," Biochem. Biophys. Res. Commun. 360(2), 352-356. (Pubitemid 47030352)
37. Raffel, M., Willert, C. and Kompenhans, J. [1998] Particle Image Velocimetry: A Practical Guide (Springer-Verlag, Berlin).
38. Rethore, J., Tinnes, J. P., Roux, S., Buffiere, J. Y. and Hild, F. [2008] "Extended threedimensional digital image correlation (X3D-DIC)," C. R. Mec. 336(8), 643-649.
39. Robert, L., Nazaret, F., Cutard, T. and Orteu, J. J. [2007] "Use of 3-D digital image correlation to characterize the mechanical behavior of a fiber reinforced refractory castable," Exp. Mech. 47(6), 761-773. (Pubitemid 350238460)
40. Roeder, B. A., Kokini, K., Sturgis, J. E., Robinson, J. P. and Voytik-Harbin, S. L. [2002] "Tensile mechanical properties of three-dimensional type I collagen extracellular matrices with varied microstructure," J. Biomech. Eng. Trans. ASME 124(2), 214-222. (Pubitemid 34407065)
41. Roeder, B. A., Kokini, K., Robinson, J. P. and Voytik-Harbin, S. L. [2004] "Local, threedimensional strain measurements within largely deformed extracellular matrix constructs," J. Biomech. Eng. Trans. ASME 126(6), 699-708. (Pubitemid 40293719)
42. Roux, S., Hild, F., Viot, P. and Bernard, D. [2008] "Three- dimensional image correlation from X-ray computed tomography of solid foam," Compos. Pt. A Appl. Sci. Manuf. 39(8), 1253-1265.
43. Sabass, B., Gardel, M. L., Waterman, C. M. and Schwarz, U. S. [2008] "High resolution traction force microscopy based on experimental and computational advances," Biophys. J. 94(1), 207-220.
44. Smith, T. S., Bay, B. K. and Rashid, M. M. [2002] "Digital volume correlation including rotational degrees of freedom during minimization," Exp. Mech. 42(3), 272-278. (Pubitemid 35288931)
45. Sun, W., Quan, C. G., Tay, C. J. and He, X. Y. [2007] "Global and local coordinates in digital image correlation," Appl. Optics 46(7), 1050-1056. (Pubitemid 46515999)
46. Tolic-Norrelykke, I. M., Butler, J. P., Chen, J. X. and Wang, N. [2002] "Spatial and temporal traction response in human airway smooth muscle cells," Am. J. Physiol. Cell Physiol. 283(4), C1254-C1266.
47. Tsai, D. M. and Lin, C. T. [2003] "Fast normalized cross correlation for defect detection," Pattern Recogn. Lett. 24(15), 2625-2631.
48. Ulrich, T. A., Jain, A., Tanner, K., MacKay, J. L. and Kumar, S. [2010] "Probing cellular mechanobiology in three-dimensional culture with collagen-agarose matrices," Biomaterials 31(7), 1875-1884.
49. Vendroux, G. and Knauss, W. G. [1998] "Submicron deformation field measurements: Part 2. Improved digital image correlation," Exp. Mech. 38(2), 86-92. (Pubitemid 128720818)
50. Vogel, V. and Sheetz, M. [2006] "Local force and geometry sensing regulate cell functions," Nat. Rev. Mol. Cell Biol. 7(4), 265-275.
51. Wattrisse, B., Chrysochoos, A., Muracciole, J. M. and Nemoz-Gaillard, M. [2001] "Analysis of strain localization during tensile tests by digital image correlation," Exp. Mech. 41(1), 29-39. (Pubitemid 32337750)
52. Yang, F. J., He, X. Y. and Quan, C. G. [2006] "Characterization of dynamic microgyroscopes by use of temporal digital image correlation," Appl. Optics 45(30), 7785-7790.
53. Yang, Z. C., Lin, J. S., Chen, J. X. and Wang, J. [2006] "Determining substrate displacement and cell traction fields - A new approach," J. Theor. Biol. 242(3), 607-616. (Pubitemid 44308479)
54. Zanella, C., Campana, M., Rizzi, B., Melani, C., Sanguinetti, G., Bourgine, P., Mikula, K., Peyrieras, N. and Sarti, A. [2010] "Cells segmentation from 3-D confocal images of early zebrafish embryogenesis," IEEE Trans. Image Process. 19(3), 770-781.
55. Zauel, R., Yeni, Y. N., Bay, B. K., Dong, X. N. and Fyhrie, D. P. [2006] "Comparison of the linear finite element prediction of deformation and strain of human cancellous bone to 3D digital volume correlation measurements," J. Biomech. Eng. Trans. ASME 128(1), 1-6.
56. Zhang, J., Jin, G. C., Ma, S. P. and Meng, L. B. [2003] "Application of an improved subpixel registration algorithm on digital speckle correlation measurement," Opt. Laser Technol. 35(7), 533-542.
57. Zhou, P. and Goodson, K. E. [2001] "Subpixel displacement and deformation gradient measurement using digital image/speckle correlation (DISC)," Opt. Eng. 40(8), 1613-1620. (Pubitemid 33013399)