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A Fast Iterative Digital Volume Correlation Algorithm for Large Deformations


Digital volume correlation (DVC), the three-dimensional (3D) extension of digital image correlation (DIC), measures internal 3D material displacement fields by correlating intensity patterns within interrogation windows. In recent years DVC algorithms have gained increased attention in experimental mechanics, material science, and biomechanics. In particular, the application of DVC algorithms to quantify cell-induced material deformations has generated a demand for user-friendly, and computationally efficient DVC approaches capable of detecting large, non-linear deformation fields. We address these challenges by presenting a fast iterative digital volume correlation method (FIDVC), which can be run on a personal computer with computation times on the order of 1–2 min. The FIDVC algorithm employs a unique deformation-warping scheme capable of capturing any general non-linear finite deformation. The validation of the FIDVC algorithm shows that our technique provides a unique, fast and effective experimental approach for measuring non-linear 3D deformations with high spatial resolution.

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This work is in part supported by NIH R21 Al101469-01 and an NSF Graduate Research Fellowship to E.B.K. The authors wish to thank Dr. Allan Bower for his helpful discussions regarding the algorithm’s convergence, Dr. Gabriel Taubin for his valuable input on numerical gradient techniques, and Ronnie Bar-Kochba for help with the GPU implementation of the code.

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Corresponding author

Correspondence to C. Franck.

Additional information

Eyal Bar-Kochba and Jennet Toyjanova contributed equally to this work.

Erik Andrews is a posthumous author.

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Bar-Kochba, E., Toyjanova, J., Andrews, E. et al. A Fast Iterative Digital Volume Correlation Algorithm for Large Deformations. Exp Mech 55, 261–274 (2015).

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  • Digital volume correlation
  • Large deformations
  • 3D strain measurements
  • GPU
  • Laser scanning confocal microscopy