Skip to main content
Log in

Rotational-InVariant pattern recognition using circular optical wavelet transform

  • Published:
Optical Review Aims and scope Submit manuscript

Abstract

An improved shift- and rotational-invariant filter using wavelet transform and circular harmonic filtering at the same time is proposed. Computer simulation has shown that this is better than using a phase-only circular harmonic filter in peak sharpness, discriminating ability, SNR and tolerance of position error of the filter. Furthermore, this filter possesses moderate diffraction efficiency.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Y.N. Hsu, H.H. Arsenault and G. April: Appl. Opt. 21 (1982) 4012.

    Article  ADS  Google Scholar 

  2. Y.N. Hsu and H.H. Arsenault: Appl. Opt. 21 (1982) 4016.

    Article  ADS  Google Scholar 

  3. H.F. Yau and C.C. Chang: Appl. Opt. 28 (1989) 2070.

    Article  ADS  Google Scholar 

  4. J. Rosen and J. Shamir: Appl. Opt. 27 (1988) 2895.

    Article  ADS  Google Scholar 

  5. L. Leclerc, Y. Sheng and H.H. Arsenault: Appl. Opt. 28 (1989) 1251.

    Article  ADS  Google Scholar 

  6. S.G. Mallat: IEEE Trans. Acoust. Speech Signal Process. 37 (1989) 2091.

    Article  Google Scholar 

  7. X.J. Lu. A. Katz, E.G. Kanterakis, Y. Li, Y. Zhang and N.P. Caviris: Opt. Commun. 92 (1992) 337.

    Article  ADS  Google Scholar 

  8. Y. Sheng, D. Roberge. H. Szu and T. Lu: Opt. Lett. 18 (1993) 299.

    Article  ADS  Google Scholar 

  9. B. Javidi and Q. Tang: Appl. Opt. 31 (1992) 4034.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, TC., Cheng, YS. Rotational-InVariant pattern recognition using circular optical wavelet transform. Optical Review 1, 198–201 (1994). https://doi.org/10.1007/BF03254861

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03254861

Key words

Navigation