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Stabilizing Heteroscedastic Noise With the Generalized Anscombe Transform. Application to Accurate Prediction of the Resolution in Displacement and Strain Maps Obtained With the Grid Method.

Michel Grediac 1 Frédéric Sur 2
2 MAGRIT - Visual Augmentation of Complex Environments
LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry, Inria Nancy - Grand Est
Abstract : The objective of this paper is to show that it is possible to predict the noise level in displacement and strain maps obtained with the grid method, but that actual noise of camera sensors being heteroscedastic, it is necessary to stabilize this noise in grid images prior to employing the predicting formulas. The procedure used for this purpose relies on the Generalized Anscombe Transform. This transform is first described. It is then shown that experimental and theoretical resolutions in strain maps obtained with the grid method are in good agreement when this transform is employed.
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https://hal.inria.fr/hal-01001869
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Submitted on : Friday, September 12, 2014 - 2:27:11 PM
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Michel Grediac, Frédéric Sur. Stabilizing Heteroscedastic Noise With the Generalized Anscombe Transform. Application to Accurate Prediction of the Resolution in Displacement and Strain Maps Obtained With the Grid Method.. SEM Annual Conference & Exposition on Experimental and Applied Mechanics - 2014, Jun 2014, Greenville, SC, United States. pp.225-230, ⟨10.1007/978-3-319-06986-9_25⟩. ⟨hal-01001869⟩

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