OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 32, Iss. 32 — Nov. 10, 1993
  • pp: 6542–6546

Optical realization of the wavelet transform for two-dimensional objects

David Mendlovic and Naim Konforti  »View Author Affiliations


Applied Optics, Vol. 32, Issue 32, pp. 6542-6546 (1993)
http://dx.doi.org/10.1364/AO.32.006542


View Full Text Article

Enhanced HTML    Acrobat PDF (1062 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Real-time wavelet transformations of two-dimensional objects are implemented by use of the conventional coherent correlator with a multireference matched filter. The different daughter wavelets are spatially multiplexed with different reference-beam directions. Two experiments are described, one of them with a spatial light modulator at the input plane in order to enable the real-time property.

© 1993 Optical Society of America

History
Original Manuscript: February 17, 1993
Published: November 10, 1993

Citation
David Mendlovic and Naim Konforti, "Optical realization of the wavelet transform for two-dimensional objects," Appl. Opt. 32, 6542-6546 (1993)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-32-32-6542


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. J. Caufield, “Wavelet transforms and their relatives,” Photon. Spectra (August1992), p. 73.
  2. H. Szu, Y. Sheng, J. Chen, “Wavelet transform as a bank of the matched filters,” Appl. Opt. 31, 3267–3277 (1992). [CrossRef] [PubMed]
  3. X. J. Lu, A. Katz, E. G. Katerakis, N. P. Caviris, “Joint transform correlation using wavelet transforms,” Opt. Lett. 18, 1700–1703.
  4. E. Freysz, B. Pouligny, F. Argoul, A. Arneodo, “Optical wavelet transform of fractal aggregates,” Phys. Rev. Lett. 64, 7745–7748 (1990). [CrossRef]
  5. H. Szu, J. Caulfield, “The mutual time-frequency content of two signals,” Proc. IEEE 72, 902–908 (1984). [CrossRef]
  6. J. Caulfield, H. Szu, “Parallel discrete and continuous wavelet transforms,” Opt. Eng. 31, 1835–1839 (1992). [CrossRef]
  7. D. Gabor, “Theory of communication,” Proc. Inst. Electr. Eng. 93, 429–457 (1946).
  8. A. Grossmann, J. Morlet, “Decomposing of Hardy function into square integrable wavelets of constant shape,” SIAM J. Math. Anal. 15, 723–736 (1984). [CrossRef]
  9. I. Daubechies, “The wavelet transform time-frequency localization and signal analysis,” IEEE Trans. Inf. Theory 36, 961–1005 (1990). [CrossRef]
  10. J. M. Combes, A. Grossmann, Ph. Tchamitchian, eds., Wavelets: Time-Frequency Methods and Phase Space (Springer-Verlag, Berlin, 1989).
  11. H. H. Szu, B. Telfer, A. W. Lohmann, “Causal analytical wavelet transform,” Opt. Eng. 31, 1825–1829 (1992). [CrossRef]
  12. M. O. Freeman, K. A. Duell, A. Fedor, “Multi-scale optical image processing,” presented at the IEEE International Symposium on Circuits and Systems, Singapore, June 1991.
  13. A. Haar, “Zur thorie der orthogonalen Funktionen-systeme,” Math. Anal. 69, 331–371 (1910). [CrossRef]
  14. I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure Appl. Math. 41, 909–996 (1988). [CrossRef]
  15. S. G. Mallat, “A theory for multiresolution signal decomposition: the wavelet decomposition,” IEEE Trans. Pattern Anal. Mach. Intell. 31, 674–693 (1989). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited