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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 2 — Jan. 10, 2001
  • pp: 257–260

Filtering theory and application of wavelet optics at the spatial-frequency domain

Liying Tan, Jing Ma, Qi Wang, and Qiwen Ran  »View Author Affiliations


Applied Optics, Vol. 40, Issue 2, pp. 257-260 (2001)
http://dx.doi.org/10.1364/AO.40.000257


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Abstract

We propose a wave-front filtering concept of wavelet optics and present its associated theory of wavelet optics. We analyze the filtering phenomenon of wavelet optics at the spatial-frequency domain—multiscale edge detection and multiscale feature recognition—using the theory, and we also perform the analysis with the Mexican-hat wavelet and the Haar wavelet. By use of our theory, information is obtained from an optical image that is processed multiscalely and delicately by stretching and translation of the factors. With this technique it is possible to perform real-time programming in information processing in a mixed optical system.

© 2001 Optical Society of America

OCIS Codes
(070.4560) Fourier optics and signal processing : Data processing by optical means
(100.7410) Image processing : Wavelets

History
Original Manuscript: February 4, 2000
Revised Manuscript: July 7, 2000
Published: January 10, 2001

Citation
Liying Tan, Jing Ma, Qi Wang, and Qiwen Ran, "Filtering theory and application of wavelet optics at the spatial-frequency domain," Appl. Opt. 40, 257-260 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-2-257


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References

  1. Y. Li, H. H. Szu, Y. Sheng, H. J. Caufield, “Wavelet and optics,” IEEE Proc. 84, 720–732 (1996). [CrossRef]
  2. Y. Sheng, D. Roberge, H. H. Szu, “Optical wavelet transform,” Opt. Eng. 31, 1840–1845 (1992). [CrossRef]
  3. J. Ma, L. Tan, Q. Ran, “The elementary theory of optical wavelet filtering,” Chin. J. Lasers A26, 343–346 (1999) (in Chinese).
  4. J. Ma, L. Tan, Q. Ran, “The application of wavelet analysis to optical information processing,” Acta Physica Sin. 48, 1223–1229 (1999) (in Chinese).
  5. S. Mallat, W. L. Hwang, “Singularity detection and processing with wavelets,” IEEE Trans. Inf. Theory 38, 617–643 (1992). [CrossRef]

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