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In this paper, we review correlation filters as an approach to pattern recognition with a special emphasis on the consequences of normalizing the correlation to achieve intensity invariance. Intensity invariance is effected using the Cauchy-Schwarz inequality to normalize the correlation integral. We discuss the implications of this criterion for the application of correlation filters to the pattern recognition problem. It is shown that normalized phase-only and synthetic discriminate functions do not provide the recognition/discrimination obtained with the classical matched filter.
Fred M. Dickey andLouis A. Romero
"Pattern recognition, inner products, and correlation filters", Proc. SPIE 10262, Optical Pattern Recognition: A Critical Review, 102620E (1 April 1992); https://doi.org/10.1117/12.59858
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Fred M. Dickey, Louis A. Romero, "Pattern recognition, inner products, and correlation filters," Proc. SPIE 10262, Optical Pattern Recognition: A Critical Review, 102620E (1 April 1992); https://doi.org/10.1117/12.59858