Abstract

Optical implementation of a three-dimensional (3-D) Fourier transform is proposed and demonstrated. A spatial 3-D object, as seen from the paraxial zone, is transformed to the 3-D spatial frequency space. Based on the new procedure, a 3-D joint transform correlator is described that is capable of recognizing targets in the 3-D space.

© 1997 Optical Society of America

Three-dimensional electro-optical correlation

Joseph Rosen
J. Opt. Soc. Am. A 15(2) 430-436 (1998)

Three-dimensional joint transform correlator

Joseph Rosen
Appl. Opt. 37(32) 7538-7544 (1998)

Three-dimensional object recognition by use of digital holography

Bahram Javidi and Enrique Tajahuerce
Opt. Lett. 25(9) 610-612 (2000)

Three-dimensional optical correlator with general complex filters

Youzhi Li and Joseph Rosen
Appl. Opt. 39(35) 6561-6572 (2000)

Three-dimensional object recognition by Fourier transform profilometry

José J. Esteve-Taboada, David Mas, and Javier García
Appl. Opt. 38(22) 4760-4765 (1999)