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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 23 — Aug. 10, 1994
  • pp: 5275–5278

Optical wavelet transforms from computer-generated holography

Peter G. Block, Steven K. Rogers, and Dennis W. Ruck  »View Author Affiliations


Applied Optics, Vol. 33, Issue 23, pp. 5275-5278 (1994)
http://dx.doi.org/10.1364/AO.33.005275


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Abstract

An optical implementation of a wavelet transform is presented. Optical Haar wavelets are created by the use of computer-generated holography. Two different holographic techniques are explored: (1) interferogram and (2) detour-phase. A discrete representation of a continuous wavelet transform is obtained by the optical correlation of an image with a Haar mother wavelet. Experimental results are compared with their digital simulations.

© 1994 Optical Society of America

History
Original Manuscript: April 20, 1993
Revised Manuscript: December 2, 1993
Published: August 10, 1994

Citation
Peter G. Block, Steven K. Rogers, and Dennis W. Ruck, "Optical wavelet transforms from computer-generated holography," Appl. Opt. 33, 5275-5278 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-23-5275


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References

  1. T. J. Burns, K. H. Fielding, S. K. Rogers, S. D. Pinski, D. W. Ruck, “Optical Haar wavelet transform,” Opt. Eng. 31, 1852–1857 (1992). [CrossRef]
  2. S. G. Mallat, “A theory for multi-frequency signal decomposition,” IEEE Trans. Pattern Anal. Mach. Intell. 11, 674–693 (1989). [CrossRef]
  3. C. K. Chui, Wavelets: A Tutorial in Theory and Application (Academic, San Diego, Calif., 1992), pp. 53–87.
  4. J. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 141–184.
  5. H. H. Szu, B. Hefler, A. Lohmann, “Causal analytical wavelet transform,” Opt. Eng. 31, 1825–1829 (1992). [CrossRef]
  6. X. Yang, H. H. Szu, Y. Sheng, H. J. Caufield, “Optical Haar wavelet transforms of binary images,” Opt. Eng. 31, 1846–1851 (1992). [CrossRef]
  7. W. H. Lee, “Computer-generated holograms: techniques and applications,” Prog. Opt. 16, 121–232 (1978).

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