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  • Vol. 25, Iss. 2 — Jan. 15, 2000
  • pp: 99–101

Image processing with the radial Hilbert transform: theory and experiments

Jeffrey A. Davis, Dylan E. McNamara, Don M. Cottrell, and Juan Campos  »View Author Affiliations


Optics Letters, Vol. 25, Issue 2, pp. 99-101 (2000)
http://dx.doi.org/10.1364/OL.25.000099


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Abstract

The Hilbert transform is useful for image processing because it can select which edges of an input image are enhanced and to what degree the edge enhancement occurs. However, the transform operation is one dimensional and is not applicable for arbitrarily shaped two-dimensional objects. We introduce a radially symmetric Hilbert transform that permits two-dimensional edge enhancement. We implement one-dimensional, two-dimensional, and radial Hilbert transforms with a programmable phase-only liquid-crystal spatial light modulator. Experimental results are presented.

© 2000 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.0100) Image processing : Image processing
(120.2440) Instrumentation, measurement, and metrology : Filters
(200.3050) Optics in computing : Information processing
(230.3720) Optical devices : Liquid-crystal devices
(230.6120) Optical devices : Spatial light modulators

Citation
Jeffrey A. Davis, Dylan E. McNamara, Don M. Cottrell, and Juan Campos, "Image processing with the radial Hilbert transform: theory and experiments," Opt. Lett. 25, 99-101 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-2-99


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References

  1. R. B. Bracewell, The Fourier Transform and Its Application (McGraw-Hill, New York, 1965), Chap. 12.
  2. A. W. Lohmann, D. Mendlovic, and Z. Zalevsky, Opt. Lett. 21, 281 (1996).
  3. A. W. Lohmann, E. Tepichin, and J. G. Ramirez, Appl. Opt. 36, 6620 (1997).
  4. J. A. Davis, D. E. McNamara, and D. M. Cottrell, Appl. Opt. 37, 6911 (1999).
  5. A. Jaroszewicz and A. Kolodziejczyk, Opt. Commun. 102, 391 (1993).
  6. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1970), p. 480.
  7. T. Sonehara and J. Amako, in Spatial Light Modulators, G. Burdge and S. Esener, eds., Vol. 14 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1997), pp. 165–168.
  8. J. A. Davis, P. S. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).

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