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Correlation of two dimensional (2D) images using photorefractive materials are first reviewed. The performance of a joint transform correlator based on photorefractive beam coupling is analyzed by determining the dependence of typical figures of merit such as the discrimination ratio, peak-to-correlation plane energy ratio, peak-to-noise ratio, etc. on the photorefractive gain coefficient and beam power ratio using typical reference and signal images. Furthermore, correlation of three dimensional (3D) images is introduced as the correlation of their 2D digital holograms. Critical figures of merit used for assessment of 2D correlation of images are applied to the correlation of holograms.
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P. P. Banerjee, U. Abeywickrema, H. Zhou, B. Bordbar, M. Alam, G. Nehmetallah, J. Khoury, L. Cao, "Taking correlation from 2D to 3D: optical methods and performance evaluation," Proc. SPIE 10995, Pattern Recognition and Tracking XXX, 109950B (13 May 2019); https://doi.org/10.1117/12.2520309