Abstract

We introduce a new approach for shift-, scale-, and projection-invariant pattern recognition that combines the harmonic expansion and the synthetic discriminant function approaches by use of a synthetic discriminant function filter with equal-order one-dimensional logarithmic harmonic components. Because projection invariance in one direction is guaranteed by the harmonics, the required number of training images is much fewer than with classical synthetic discriminant function filters.

© 1998 Optical Society of America

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)

Shift and projection invariant pattern recognition using logarithmic harmonics

David Mendlovic, Naim Konforti, and Emanuel Marom
Appl. Opt. 29(32) 4784-4789 (1990)

Projection-invariant pattern recognition with a phase-only logarithmic-harmonic-derived filter

A. Moya, D. Mendlovic, J. García, and C. Ferreira
Appl. Opt. 35(20) 3862-3867 (1996)

Shift- and scale-invariant recognition of contour objects with logarithmic radial harmonic filters

Antonio Moya, José J. Esteve-Taboada, Javier García, and Carlos Ferreira
Appl. Opt. 39(29) 5347-5352 (2000)

Projection-slice synthetic discriminant functions for optical pattern recognition

Vahid R. Riasati and Mustafa A. G Abushagur
Appl. Opt. 36(14) 3022-3034 (1997)