28 August 1995 Fast algorithm for calculating optical binary amplitude filters
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Abstract
A new geometric viewpoint is presented for optimizing a binary amplitude filter based on finding an ordered set of phasors, the uncoiled phasor set (UPS), from the filter object's discrete Fourier transform that determines a convex polygon. The maximum distance across the polygon determines the value of the correlation peak and the set of frequencies that the optimal filter should pass. Algorithms are presented for finding the UPS and the maximum distance across the polygon that are competititve with optimization approaches that use the binning (Farn and Goodman). The new viewpoint provides a simple way to establish a bound on binning error.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Jerome Knopp, Mustafa M. Matalgah, "Fast algorithm for calculating optical binary amplitude filters", Proc. SPIE 2565, Optical Implementation of Information Processing, (28 August 1995); doi: 10.1117/12.217648; https://doi.org/10.1117/12.217648
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