Optical pattern recognition with nonlinearly transformed matched filters

Bahram Javidi; Guanshen Zhang

doi:10.1117/12.59859

1 April 1992 Optical pattern recognition with nonlinearly transformed matched filters

Bahram Javidi, Guanshen Zhang

Proceedings Volume 10262, Optical Pattern Recognition: A Critical Review; 102620F (1992) https://doi.org/10.1117/12.59859
Event: Critical Reviews, 1991, San Jose, CA, United States

Abstract

Nonlinearly transformed matched filters including the k^th law nonlinear filters for optical correlation are reviewed. The interesting property of the k^th law nonlinear filters is that the nonlinear transformation modifies the amplitude of the conventional matched filter by a power of k. Various types of filters may be produced by varying the severity of the nonlinearity. Correlation results for the images tested indicate that nonlinear matched filters produce good correlation performance in the terms of correlation peak intensity, signal-to-noise ratio, and peak-to-sidelobe ratio. The sensitivity of the k^th law nonlinearly transformed filter to rotational changes of the input signal is investigated. The rotational sensitivity of the k^th law nonlinearly transformed filter increases for higher degrees of nonlinearity. However, for a given input signal rotation, a highly k^th law nonlinearly transformed filter could produce a better peak-to-sidelobe ratio and better SNR compared with a moderately k^th law nonlinearly transformed filter and/or a conventional matched filter.

Citation Download Citation

Bahram Javidi and Guanshen Zhang "Optical pattern recognition with nonlinearly transformed matched filters", Proc. SPIE 10262, Optical Pattern Recognition: A Critical Review, 102620F (1 April 1992); https://doi.org/10.1117/12.59859

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