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Image reconstruction from incomplete and noisy data

Abstract

Results are presented of a powerful technique for image reconstruction by a maximum entropy method, which is sufficiently fast to be useful for large and complicated images. Although our examples are taken from the fields of radio and X-ray astronomy, the technique is immediately applicable in spectroscopy, electron microscopy, X-ray crystallography, geophysics and virtually any type of optical image processing. Applied to radioastronomical data, the algorithm reveals details not seen by conventional analysis, but which are known to exist.

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References

  1. Parker, R. L. A. Rev. Earth Planet. Sci. 5, 35 (1977).

    Article  ADS  Google Scholar 

  2. Oldenburg, D. W. Geophys. J. R. astr. Soc. 44, 413 (1976).

    Article  ADS  Google Scholar 

  3. Jaynes, E. T. Phys. Rev. 106, 620 (1957).

    Article  ADS  MathSciNet  Google Scholar 

  4. Jaynes, E. T. Phys. Rev. 108, 171 (1957).

    Article  ADS  MathSciNet  Google Scholar 

  5. Frieden, B. R. J. opt. Soc. Am. 62, 511 (1972).

    Article  ADS  CAS  Google Scholar 

  6. Abels, J. G. Astr. Astrophys. Suppl. 15, 383 (1974).

    ADS  Google Scholar 

  7. Burg, J. P. thesis, Stanford Univ. (1975).

  8. Burch, S. F. Mon. Not. R. astr. Soc. 181, 599 (1977).

    Article  ADS  Google Scholar 

  9. Northover, K. J. E. Mon. Not. R. astr. Soc. 165, 369 (1973).

    Article  ADS  Google Scholar 

  10. Pearson, T. J. & Kus, A. J. Mon. Not. R. astr. Soc. 182, 273 (1978).

    Article  ADS  Google Scholar 

  11. Baldwin, J. E. & Warner, P. J. Mon. Not. R. astr. Soc. 182, 411 (1978).

    Article  ADS  Google Scholar 

  12. Högbom, J. A. Astr. Astrophys. Suppl. 15, 417 (1974).

    ADS  Google Scholar 

  13. Stevens, J. C. & Garmire, G. P. Astrophys. J. 180, L19 (1973).

    Article  ADS  Google Scholar 

  14. Fabian, A. C., Zarnecki, J. C. & Culhane, J. L. Nature phys. Sci. 242, 18 (1973).

    Article  ADS  CAS  Google Scholar 

  15. Charles, P. A., Culhane, J. L. & Fabian, A. C. Mon. Not. R. astr. Soc. 178, 307 (1977).

    Article  ADS  Google Scholar 

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Gull, S., Daniell, G. Image reconstruction from incomplete and noisy data. Nature 272, 686–690 (1978). https://doi.org/10.1038/272686a0

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