OSA's Digital Library

Applied Optics

Applied 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (75 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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]

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.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited