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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

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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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Correspondence to M. Grédiac .

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© 2015 The Society for Experimental Mechanics, Inc.

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Grédiac, M., Sur, F. (2015). 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. In: Jin, H., Sciammarella, C., Yoshida, S., Lamberti, L. (eds) Advancement of Optical Methods in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-06986-9_25

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  • DOI: https://doi.org/10.1007/978-3-319-06986-9_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06985-2

  • Online ISBN: 978-3-319-06986-9

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