We present a simple method of constructing synthetic discriminant function filters optimized to take into account the modulation of liquid-crystal devices. This relaxation algorithm, a generalization of the Jared and Ennis method, is an iterative method that includes arbitrary modulations for both scene and filter, extending the problem to the complex plane. Simulated and experimental results obtained in a VanderLugt correlator are presented for a two-class recognition problem. The optimal number of images needed to describe an object in a filter generated in this way is discussed, and the influence of the spatial light modulation resolution on the correlation is studied.
© 2004 Optical Society of America
(070.4550) Fourier optics and signal processing : Correlators
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.6740) Image processing : Synthetic discrimination functions
(230.3720) Optical devices : Liquid-crystal devices
Encarnación Pleguezuelos, Ignasi Labastida, Mario Montes-Usategui, Santiago Vallmitjana, and Artur Carnicer, "Generalization of the Jared and Ennis Method of Complex Transmittance Objects for the Generation of Synthetic Discriminant Function Filters," Appl. Opt. 43, 5647-5654 (2004)