OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 5 — Feb. 10, 2001
  • pp: 656–661

Hybrid order statistic filter and its application to image restoration

Elizabeth A. Thompson, Russell C. Hardie, and Kenneth E. Barner  »View Author Affiliations


Applied Optics, Vol. 40, Issue 5, pp. 656-661 (2001)
http://dx.doi.org/10.1364/AO.40.000656


View Full Text Article

Enhanced HTML    Acrobat PDF (1712 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We introduce a new nonlinear filter for signal and image restoration, the hybrid order statistic (HOS) filter. Because it exploits both rank- and spatial-order information, the HOS realizes the advantages of nonlinear filters in edge preservation and reduction of impulsive noise components while retaining the ability of the linear filter to suppress Gaussian noise. We show that the HOS filter exhibits improved performance over both the linear Wiener and the nonlinear L filters in reducing mean-squared error in the presence of contaminated Gaussian noise. In many cases it also performs favorably compared with the Ll and rank-conditioned rank selection filters.

© 2001 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing

History
Original Manuscript: June 21, 2000
Revised Manuscript: October 30, 2000
Published: February 10, 2001

Citation
Elizabeth A. Thompson, Russell C. Hardie, and Kenneth E. Barner, "Hybrid order statistic filter and its application to image restoration," Appl. Opt. 40, 656-661 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-5-656


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. C. Bovik, T. S. Huang, D. C. Munson, “A generalization of median filtering using linear combinations of order statistics,” IEEE Trans. Acoust. Speech Signal Process. ASSP-31, 1342–1349 (1983). [CrossRef]
  2. F. Palmieri, C. G. Boncelet, “Ll-filters—a new class of order statistic filters,” IEEE Trans. Acoust. Speech Signal Process. 37, 691–701 (1989). [CrossRef]
  3. R. C. Hardie, K. E. Barner, “Rank conditioned rank selection filters for signal restoration,” IEEE Trans. Image Process. 3, 192–206 (1994). [CrossRef] [PubMed]
  4. J. W. Tukey, “Nonlinear (nonsuperimposable) methods for smoothing data,” Conference Records of Electronics and Aerospace Systems Convention (EASCOM) (Institute of Electrical and Electronics Engineers, New York, 1974), p. 673.
  5. S. J. Tukey, Exploratory Data Analysis (Addison-Wesley, Reading, Mass., 1977).
  6. Y. H. Lee, S. A. Kassam, “Generalized median filtering and related nonlinear filtering techniques,” IEEE Trans. Acoust. Speech Signal Process. ASSP-33, 672–683 (1985).
  7. P. P. Gandhi, I. Song, S. A. Kassam, “Nonlinear smoothing filters based on rank estimates of location,” IEEE Trans. Acoust. Speech Signal Process. 37, 1359–1379 (1989). [CrossRef]
  8. R. C. Hardie, C. G. Boncelet, “LUM filters: a class rank order based filters for smoothing and sharpening,” IEEE Trans. Signal Process. 41, 1061–1076 (1993). [CrossRef]
  9. P. P. Gandhi, S. A. Kassam, “Design and performance of combination filters for signal restoration,” IEEE Trans. Signal Process. 39, 1524–1540 (1991). [CrossRef]
  10. S.-J. Ko, Y. H. Lee, “Center weighted median filters and their applications to image enhancement,” IEEE Trans. Circuits Syst. 38, 984–993 (1991). [CrossRef]
  11. The idea for the hybrid filter came from conversations between the first author and K. E. Barner, 1998.
  12. S. Haykin, Adaptive Filter Theory, 3rd ed. (Prentice-Hall, Upper Saddle River, N.J., 1996), p. 747.

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