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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 14 — May. 10, 2000
  • pp: 2300–2309

Hilbert transform and mirror-image optical correlators

Alastair D. McAulay  »View Author Affiliations


Applied Optics, Vol. 39, Issue 14, pp. 2300-2309 (2000)
http://dx.doi.org/10.1364/AO.39.002300


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Abstract

An optical correlator, believed to be novel, adds an x–y mirror image to the input and filter images to perform convolution involving amplitude and phase. The resulting real Fourier transform filters can be loaded into a liquid-crystal device (LCD). In contrast, a complex filter would require high-resolution film. A Hilbert transform and a point source are applied at the filter plane to reduce filter storage and LCD loading time by a factor of 2. An optional spatial filter removes an offset intensity and squares the result. Filters have only twice the number of pixels of the images. Analysis is verified by computer simulation, and performance is discussed.

© 2000 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4550) Fourier optics and signal processing : Correlators
(070.5010) Fourier optics and signal processing : Pattern recognition
(100.1160) Image processing : Analog optical image processing
(200.4740) Optics in computing : Optical processing

History
Original Manuscript: November 29, 1999
Published: May 10, 2000

Citation
Alastair D. McAulay, "Hilbert transform and mirror-image optical correlators," Appl. Opt. 39, 2300-2309 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-14-2300

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