Abstract
The grid method is one of the techniques available to measure in-plane displacement and strain components on a deformed material.A periodic grid is firsttransferred on the specimen surface, and images of the grid arecompared before and after deformation. Windowed Fourier analysis-basedtechniques permit toestimate the in-plane displacement and strainmaps. The aim of this article is to give aprecise analysis of this estimation process.It is shown that the retrieveddisplacement and strain maps are actually a tightapproximation of the convolution of the actual displacements andstrains with theanalysis window.The effect ofdigital image noise on the retrieved quantities is also characterizedand it is proved that theresulting noise canbe approximated by a stationary spatially correlated noise.These results are of utmost importance to enhance the metrologicalperformance of the grid method, as shown in a separatearticle.
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