Abstract

We describe generalized projection procedures for the design of arbitrary filter functions for correlators. More specifically, serial and parallel implementations of projection-based algorithms are employed. The novelty of this procedure lies in its generality and its ability to handle wide varieties of constraints by the same procedure. The procedure is demonstrated by the design of filters for the 4-f linear correlator, the phase-extraction correlator, and variants thereof. The filters are subject to a variety of constraints, including rotation-invariant pattern recognition and class discrimination. Examples are given to show the versatility, flexibility, and applicability of the design process to a variety of pattern-recognition tasks. Satisfactory results are also obtained because of the combination with the special nonlinear correlators proposed for pattern recognition.

© 1995 Optical Society of America

Tutorial survey of composite filter designs for optical correlators

B. V. K. Vijaya Kumar
Appl. Opt. 31(23) 4773-4801 (1992)

Adaptive pattern recognition with rotation, scale, and shift invariance

Ezra Silvera, Tuvia Kotzer, and Joseph Shamir
Appl. Opt. 34(11) 1891-1900 (1995)

Composite harmonic filters for scale-, projection-, and shift-invariant pattern recognition

David Mendlovic, Zeev Zalevsky, Irena Kiryuschev, and Guy Lebreton
Appl. Opt. 34(2) 310-316 (1995)

Synthetic circular-harmonic phase-only filter for shift, rotation, and scaling-invariant correlation

Ping Zi-Liang and Erik Dalsgaard
Appl. Opt. 34(32) 7527-7531 (1995)

Multilevel phase- and amplitude-encoded modified-filter synthetic-discriminant-function filters

RuiKang Wang and Chris R. Chatwin
Appl. Opt. 34(20) 4094-4104 (1995)