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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 8, Iss. 7 — Jul. 1, 1983
  • pp: 395–397

Radon transform and bandwidth compression

Warren E. Smith and Harrison H. Barrett  »View Author Affiliations


Optics Letters, Vol. 8, Issue 7, pp. 395-397 (1983)
http://dx.doi.org/10.1364/OL.8.000395


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Abstract

A bandwidth-compression scheme for two-dimensional data is presented that incorporates the Radon transform. There are three advantages to this approach: only one-dimensional operations are required, the dynamic range requirements of the compression are reduced by a filtering step associated with the inverse Radon transform, and the technique is readily adaptive to the data structure. A rectilinear object is compressed to demonstrate the algorithm.

© 1983 Optical Society of America

History
Original Manuscript: April 11, 1983
Published: July 1, 1983

Citation
Warren E. Smith and Harrison H. Barrett, "Radon transform and bandwidth compression," Opt. Lett. 8, 395-397 (1983)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-8-7-395


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References

  1. J. Radon, “Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten,” Ber. Saechs. Akad. Wiss. (Leipzig) 69, 262–278 (1917).
  2. H. H. Barrett, W. Swindell, Radiological Imaging: Theory of Image Formation, Detection, and Processing (Academic, New York, 1981), Vols. I and II.
  3. H. H. Barrett, “The Radon transform and its applications,” in Progress in Optics, E. Wolf, ed. (to be published).
  4. H. H. Barrett, “Optical processing in Radon space,” Opt. Lett. 7, 248–250, (1982). [CrossRef] [PubMed]
  5. G. Eichmann, P. Z. Dong, “Coherent optical production of the Hough transform,” presented at the Conference on Optics, Los Alamos, New Mexico, April 11–15, 1983.
  6. W. G. Wee, “Application of projection techniques to image transmission,” presented at the Techniques of Three-Dimensional Reconstruction International Workshop, Upton, New York, July 16–19, 1974.
  7. W. K. Pratt, Digital Image Processing (Wiley, New York, 1978).

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