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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 10 — Oct. 1, 2002
  • pp: 1994–2004

Development of the local maximum variety of ranked-order filters

John Bart Wilburn  »View Author Affiliations


JOSA A, Vol. 19, Issue 10, pp. 1994-2004 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001994


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Abstract

A form of ranked-order filters is introduced as the local maximum filter. The construction of the local maximum filter is described, followed by a discussion of its function and some of its more important properties, and an example application of a two-dimensional local maximum filter is provided to illustrate the detection of single-pixel targets against a cloud clutter background. The closing discussion provides a mathematical development of the filter.

© 2002 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.5010) Image processing : Pattern recognition

History
Original Manuscript: January 18, 2002
Revised Manuscript: April 24, 2002
Manuscript Accepted: May 30, 2002
Published: October 1, 2002

Citation
John Bart Wilburn, "Development of the local maximum variety of ranked-order filters," J. Opt. Soc. Am. A 19, 1994-2004 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-10-1994


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References

  1. J. B. Wilburn, “Developments in generalized ranked-order filters,” J. Opt. Soc. Am. A 15, 1054–1099 (1998). [CrossRef]
  2. J. B. Wilburn, Theory of Ranked-Order Filters with Applications to Feature Extraction and Interpretive Transforms, Vol. 112 in Advances in Imaging and Electron Physics, P. Hawkes, ed. (Academic, San Diego, Calif., 2000), pp. 233–332.
  3. P. R. Halmos, Naïve Set Theory (Van Nostrand, Princeton, N.J., 1960), Chaps. 7, 8.
  4. J. R. Schoenfeld, Mathematical Logic (Addison-Wesley, Reading, Mass., 1967), Chaps. 6, 7.
  5. A. Bovik, T. S. Huang, D. Muson, “A generalization of median filtering using linear combinations of order statistics,” IEEE Trans. Acoust. Speech Signal Process. 31, 1342–1350 (1983). [CrossRef]
  6. D. Eberly, H. G. Longbotham, J. Aragon, “Complete classification of roots to 1-dimensional median and ranked-order filters,” IEEE Trans. Acoust. Speech Signal Process. 39, 197–200 (1991). [CrossRef]
  7. H. G. Longbotham, “Theory of order statistic filters and their relationship to FIR filters,” IEEE Trans. Acoust. Speech Signal Process. 37, 275–287 (1989). [CrossRef]
  8. J. B. Wilburn, Theory of Ranked-Order Filters with Applications to Feature Extraction and Interpretive Transforms, Vol. 112 in Advances in Imaging and Electron Physics, P. Hawkes, ed. (Academic, San Diego, Calif., 2000), pp. 255–281.

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