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15 April 2005 Gradient-based estimators for one- and two-dimensional speckle motion
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Demonstrated herein is the performance of gradient-based estimators for assessing small motions in speckle patterns. Such estimators are important in a variety of speckle techniques used in non-destructive evaluation. These speckle patterns can be two-dimensional (one spatial dimension and one temporal dimension) as obtained in objective speckle techniques or three-dimensional (two spatial dimensions and one temporal dimension) as typically seen in subjective (imaged) speckle methods. Both theoretical and experimental performance estimates are presented. Through a series of numerical simulations, performance (velocity bias and RMS variation) is characterized in terms of the signal-to-noise ratio. This SNR parameter is a convenient surrogate for the decorrelation of sequential speckle patterns such as those observed in biological tissues. Experimental evaluations are performed on an optically rough metal coupon. We demonstrate that under easily met experimental conditions, estimates of speckle motions on the order of one tenth of a pixel can be obtained reliably.
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Donald D. Duncan and Sean J. Kirkpatrick "Gradient-based estimators for one- and two-dimensional speckle motion", Proc. SPIE 5695, Optical Interactions with Tissue and Cells XVI, (15 April 2005);

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