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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 6 — Jun. 1, 2014
  • pp: 1259–1272

Incorporation of polar Mellin transform in a hybrid optoelectronic correlator for scale and rotation invariant target recognition

Mehjabin Sultana Monjur, Shih Tseng, Renu Tripathi, and M. S. Shahriar  »View Author Affiliations

JOSA A, Vol. 31, Issue 6, pp. 1259-1272 (2014)

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In this paper, we show that our proposed hybrid optoelectronic correlator (HOC), which correlates images using spatial light modulators (SLMs), detectors, and field-programmable gate arrays (FPGAs), is capable of detecting objects in a scale and rotation invariant manner, along with the shift invariance feature, by incorporating polar Mellin transform (PMT). For realistic images, we cut out a small circle at the center of the Fourier transform domain, as required for PMT, and illustrate how this process corresponds to correlating images with real and imaginary parts. Furthermore, we show how to carry out shift, rotation, and scale invariant detection of multiple matching objects simultaneously, a process previously thought to be incompatible with PMT-based correlators. We present results of numerical simulations to validate the concepts.

© 2014 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.4550) Fourier optics and signal processing : Correlators
(100.0100) Image processing : Image processing
(130.0130) Integrated optics : Integrated optics
(130.0250) Integrated optics : Optoelectronics
(100.3005) Image processing : Image recognition devices

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: February 12, 2014
Revised Manuscript: April 15, 2014
Manuscript Accepted: April 16, 2014
Published: May 16, 2014

Mehjabin Sultana Monjur, Shih Tseng, Renu Tripathi, and M. S. Shahriar, "Incorporation of polar Mellin transform in a hybrid optoelectronic correlator for scale and rotation invariant target recognition," J. Opt. Soc. Am. A 31, 1259-1272 (2014)

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  18. Recall that a PMT image is plotted as a function of ρ and θ. In the θ direction, any image will cover the whole range from θ to 2π. As a result, two PMT images in two boxes adjacent in the vertical direction will tend to merge into each other. This problem is circumvented by scaling each PMT image to 90% of its actual size, thus creating a guard band. This step does not affect the outcome of the correlator process.

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