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Digital volume correlation: what are the limits to the spatial resolution?

Published online by Cambridge University Press:  22 November 2012

Hugo Leclerc
Affiliation:
LMT-Cachan, ENS Cachan/CNRS/UPMC/UniverSud Paris, 61 avenue du Président Wilson, 94235 Cachan Cedex, France
Jean-Noël Périé
Affiliation:
Université de Toulouse; INSA, UPS, Mines Albi, ISAE, ICA (Institut Clément Ader), 133 avenue de Rangueil, 31077 Toulouse, France
François Hild*
Affiliation:
LMT-Cachan, ENS Cachan/CNRS/UPMC/UniverSud Paris, 61 avenue du Président Wilson, 94235 Cachan Cedex, France
Stéphane Roux
Affiliation:
LMT-Cachan, ENS Cachan/CNRS/UPMC/UniverSud Paris, 61 avenue du Président Wilson, 94235 Cachan Cedex, France
*
a Corresponding author: hild@lmt.ens-cachan.fr
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Abstract

Most of the norms used in the field of digital image (and volume) correlation to register two images (or volumes) lead to ill-posed problems. One of the frequent solutions is to enforce a restricted kinematics requiring a compromise between the richness of the solution (i.e., the spatial resolution) and the measurement uncertainty. An alternative route is to use a displacement norm that permits to alleviate this compromise by the means of a mechanical regularization used when the gray levels do not give enough information. It is then possible to compute a displacement vector for each pixel or voxel, inducing lower residuals (in terms of experimental data) while decreasing the noise sensitivity. The resolution performance of these different approaches is discussed, and compared for the analysis of a tensile test on a cast iron specimen based on a pair of tomographic images. As representative reconstructed volumes lead to a large number of degrees of freedom, a dedicated GPU computational strategy has been developed and implemented.

Type
Research Article
Copyright
© AFM, EDP Sciences 2012

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