OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 1 — Jan. 1, 2001
  • pp: 157–163

Two-dimensional optical wavelet decomposition with white-light illumination by wavelength multiplexing

José J. Esteve-Taboada, Javier García, Carlos Ferreira, David Mendlovic, and Zeev Zalevsky  »View Author Affiliations

JOSA A, Vol. 18, Issue 1, pp. 157-163 (2001)

View Full Text Article

Acrobat PDF (517 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a novel method for achieving in real time a two-dimensional optical wavelet decomposition with white-light illumination. The underlying idea of the suggested method is wavelength multiplexing. The information in the different wavelet components of an input object is transmitted simultaneously in different wavelengths and summed incoherently at the output plane. Experimental results show the utility of the new proposed method.

© 2001 Optical Society of America

OCIS Codes
(060.4230) Fiber optics and optical communications : Multiplexing
(070.4550) Fourier optics and signal processing : Correlators
(070.4560) Fourier optics and signal processing : Data processing by optical means
(100.7410) Image processing : Wavelets

José J. Esteve-Taboada, Javier García, Carlos Ferreira, David Mendlovic, and Zeev Zalevsky, "Two-dimensional optical wavelet decomposition with white-light illumination by wavelength multiplexing," J. Opt. Soc. Am. A 18, 157-163 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. D. Gabor, “Theory of communication,” J. Inst. Electr. Eng. 93, 429–457 (1946).
  2. H. Szu, Y. Sheng, and J. Chen, “Wavelet transform as a bank of matched filters,” Appl. Opt. 31, 3267–3277 (1992).
  3. J. M. Combes, A. Grossmann, and Ph. Tchamitchian, eds., Wavelets: Time Frequency Methods and Phase Space, 2nd ed. (Springer-Verlag, Berlin, 1990).
  4. J. Caulfield and H. Szu, “Parallel discrete and continuous wavelet transforms,” Opt. Eng. 31, 1835–1839 (1992).
  5. X. J. Lu, A. Katz, E. G. Kanterakis, and N. P. Caviris, “Joint transform correlation using wavelet transforms,” Opt. Lett. 17, 1700–1703 (1992).
  6. R. A. Maestre, J. García, and C. Ferreira, “Pattern recognition using sequential matched filtering of wavelet coefficients,” Opt. Commun. 133, 401–414 (1997).
  7. R. K. Martinet, J. Morlet, and A. Grossmann, “Analysis of sound patterns through wavelet transforms,” Int. J. Pattern Recogn. Artif. Intell. 1, 273–302 (1987).
  8. E. Freysz, B. Pouligny, F. Argoul, and A. Arneodo, “Optical wavelet transform of fractal aggregates,” Phys. Rev. Lett. 64, 7745–7748 (1990).
  9. I. Daubechies, “The wavelet transform time–frequency localization and signal analysis,” IEEE Trans. Inf. Theory 36, 961–1005 (1990).
  10. D. Mendlovic, I. Ouzieli, I. Kiryuschev, and E. Marom, “Two-dimensional wavelet transform achieved by computer-generated multireference matched filter and Dammann grating,” Appl. Opt. 34, 8213–8219 (1995).
  11. D. Mendlovic and N. Konforti, “Optical realization of the wavelet transform for two-dimensional objects,” Appl. Opt. 32, 6542–6546 (1993).
  12. M. O. Freeman, A. Fedor, B. Bock, and K. A. Duell, “Optical wavelet processor for producing spatially-localized, ring-wedge-type information,” in Optical Information Processing Systems and Architectures IV, B. Javidi, ed., Proc. SPIE 1772, 241–250 (1992).
  13. J. García, Z. Zalevsky, and D. Mendlovic, “Two-dimensional wavelet transform by wavelength multiplexing,” Appl. Opt. 35, 7019–7024 (1996).
  14. D. Mendlovic, “Continuous two-dimensional on-axis optical wavelet transformer and wavelet processor with white-light illumination,” Appl. Opt. 37, 1279–1282 (1998).
  15. Z. Zalevsky, “Experimental implementation of a continuous two-dimensional on-axis optical wavelet transformer with white-light illumination,” Opt. Eng. 37, 1372–1375 (1998).
  16. J. W. Goodman, Introduction to Fourier Optics, 2nd ed., Electrical Engineering Series (McGraw-Hill, Singapore, 1996).

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