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Towards deconvolution to enhance the grid method for in-plane strain measurement

Frédéric Sur 1, * Michel Grediac 2
* Corresponding author
1 MAGRIT - Visual Augmentation of Complex Environments
LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry, Inria Nancy - Grand Est
Abstract : The grid method is one of the available techniques to measure in-plane displacement and strain components on a deformed material. A periodic grid is first transferred on the specimen surface, and then images of the grid are compared before and after deformation. Windowed Fourier analysis-based techniques then permits to estimate the in-plane displacement maps and the strain components. In this report, we give a precise analysis of this estimation process. We show that the retrieved displacement maps and strain components are actually a tight approximation of the convolution of the actual displacements and strains with the analysis window. We also characterize the effect of digital image noise on the retrieved quantities and we prove that the resulting noise can be approximated by a stationary spatially correlated noise. These results are of utmost importance to enhance the metrological performance of the grid method, as shown in a separate report.
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Submitted on : Thursday, November 8, 2012 - 1:58:42 PM
Last modification on : Tuesday, May 18, 2021 - 3:44:10 PM
Long-term archiving on: : Saturday, February 9, 2013 - 3:45:30 AM


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  • HAL Id : hal-00749804, version 1


Frédéric Sur, Michel Grediac. Towards deconvolution to enhance the grid method for in-plane strain measurement. [Research Report] RR-8126, INRIA. 2012, pp.37. ⟨hal-00749804⟩



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