Skip to main content
SpringerLink
Log in

Reconstruction from Projections in Medicine and Astronomy

(Invited Paper)

  • Conference paper
Image Formation from Coherence Functions in Astronomy

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 76))

  • 109 Accesses

Abstract

It is a great pleasure for me to address this colloquium of radio astronomers on reconstruction from projections, especially since this opportunity allows me to combine an early interest in astronomy with my current work.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Altschuler, M. D. and Newkirk, G., Jr.: 1969, Magnetic fields and the structure of the solar corona I: methods of calculating coronal fields, “Solar Physics” 9, pp. 131–149.

    Google Scholar 

  • Baba, N. and Murata, K.: 1975, Optical and computer simulations of a strip telescope, Digest of Papers, Optical Society of America Topical Meeting on Image Processing for 2-D and 3-D Reconstruction from Projections: Theory and Practice in Medicine and the Physical Sciences.

    Google Scholar 

  • Baba, N. and Murata, K.: 1977, Filtering for image reconstruction from projections, “J. Opt. Soc. Am.” 67, 662–668.

    Article  ADS  Google Scholar 

  • Charles, P. A. and Culhane, J. L.: 1977, Extended soft x-ray emission from the Crab Nebula, “Astrophys. J.” 211, pp. L23–L27.

    Article  ADS  Google Scholar 

  • Clement, H.: 1970, Star light, “Analog. Sci. Fict. Sci. Fact” 85, p. 55.

    Google Scholar 

  • Colin, L., editor: 1972, Mathematics of profile inversion, NASA Tech. Memo X - 62, 150.

    Google Scholar 

  • Gordon, R., Bender, R. and Herman, G. T.: 1970, Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography, “J. Theor. Biol.” 29, pp. 471–481.

    Article  Google Scholar 

  • Gordon, R. and Herman, G. T.: 1971, Reconstruction of pictures from their projections, “Comm. A. C. M.” 14, pp. 759–768. (Figs. 6 and 7 are interchanged.)

    Google Scholar 

  • Gordon, R.: 1973, Artifacts in reconstructions made from a few projections, Proceedings of the First International Joint Conference on Pattern Recognition, IEEE Computer Society, pp. 275–285.

    Google Scholar 

  • Gordon, R.: 1975, Maximal use of single photons and particles in reconstruction from projections by algebraic reconstruction techniques intended for storage tubes (ARTIST), Digest of Papers, Optical Society of America Topical Meeting on Image Processing for 2-D and 3-D Reconstruction from Projections: Theory and Practice in Medicine and the Physical Sciences.

    Google Scholar 

  • Gordon, R., Herman, G. T. and Johnson, S.A.: 1975, Image reconstruction from projections, “Scientific American” 233 (4), pp. 56 – 68.

    Article  Google Scholar 

  • Gordon, R.: 1976, Dose reduction in computerized tomography, “Invest. Radiol.” 11, pp. 508–517.

    Article  Google Scholar 

  • Gordon, R.: 1978, Higher-resolution tomography, “Physics Today” 31 (7), p. 4b.

    Article  ADS  Google Scholar 

  • Gordon, R.: 1979, A Treatise on Reconstruction from Projections and Computed Tomography, Plenum Press, New York, in preparation.

    Google Scholar 

  • Gorenstein, P., Helmken, H. and Gursky, H.: 1975, Wide-field camera for the localization of gamma-ray bursts, Digest of Papers, Optical Society of America Topical Meeting on Image Processing for 2-D and 3-D Reconstruction from Projections: Theory and Practice in Medicine and the Physical Sciences.

    Google Scholar 

  • Gorenstein, P., Helmken, H. and Gursky, H.: 1976, Localization of gamma-ray bursts with wide field multiple pinhole camera system in near earth orbit, “Astrophys. Space Sci.” 42, pp. 89–97.

    Article  ADS  Google Scholar 

  • Hounsfield, G. N.: 1973, Computerized transverse axial scanning (tomography): part I; description of system. “British J. Radiology” 46, pp. 1016–1022.

    Article  Google Scholar 

  • Kalos, M. H., Davis, S. A., Mittelman, P. S., Mastras, P. and Hutton, J. H.: 1961, Conceptual design of a vapor volume fraction instrument, Nuclear Development Corporation of America, White Plains, New York, NDA 2131–34, Contract AT(30–1)-2303(IX), United States Atomic Energy Commission, 31 pp.

    Google Scholar 

  • Lager, D. L. and Lytle, R. J.: 1975, Computer algorithms useful for determining a subsurface electrical profile via high frequency probing, Lawrence Livermore Laboratory, University of California, UCRL-51748.

    Google Scholar 

  • Levinson, R. A., Nolte, J. T. and Sandler, S. S.: 1975, Application of algebraic reconstruction techniques to solar coronal x-ray emission features, Digest of Papers, Optical Society of America Topical Meeting on Image Processing for 2-D and 3-D Reconstruction from Projections: Theory and Practice in Medicine and the Physical Sciences.

    Google Scholar 

  • Liu, A.: 1976, Vertical refractivity profiles of the terrestrial ionosphere and atmosphere from the GEOS-3/ATS6 satellite-to-satellite tracking data. “Eos” p. 235.

    Google Scholar 

  • Murata, K. and Baba, N.: 1975, Measurement of the intensity distribution of an object by a strip telescope, “Japan J. Appl. Phys. Suppl.” 14–1, pp. 1319 – 1338.

    Google Scholar 

  • Phelps, M. E., Hoffman, E. J., Mullani, N. A., Higgins, C. S. and Ter-Pogossian, M. M.: 1977, Some performance and design characteristics of PETT III, In: Reconstruction Tomography in Diagnostic Radiology and Nuclear Medicine, Baltimore: University Park Press, pp. 371–392.

    Google Scholar 

  • Radon, J.: 1917, Ueber die Bestimmung von Funktionen durch ihre integralwerte laengs gewisser Mannigfaltigkeiten, “Berichte Saechsische Akadamie der Wissenschaften (Leipzig) Mathematische-Physiche Klasse” 69, pp. 262–277. (English translation in Gordon, 1979.)

    Google Scholar 

  • Saenz, A. W., Ueberall, II., Kelly, F. J., Padgett, D. W. and Seeman, N.: 1977, Telecommunication with neutrino beams, “Science” 198, pp. 295–297.

    Article  ADS  Google Scholar 

  • Smith, K. T., Solmon, D. C. and Wagner, S. L.: 1977, Practical and mathematical aspects of reconstructing objects from radiographs, “Bull. Amer. Math. Soc.” pp. 1227–1270.

    Google Scholar 

  • Tasto, M.: 1977, Parallel array processors for digital image processing, “Optica Acta” 24, pp. 391–406.

    Article  ADS  Google Scholar 

  • Veverka, J., Wasserman, L. H., Elliot, J. and Sagan, C.: 1974, The occultation of Beta Scorpii by Jupiter, I; the structure of the Jovian upper atmosphere, “Astron. J.” 79, pp. 73–84.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Computer Department for Health Sciences, Winnipeg, Canada

    Richard Gordon (Director, Associate Professor)

  2. Pathology and Radiology Departments, University of Manitoba, Winnipeg, Canada

    Richard Gordon (Director, Associate Professor)

Authors
  1. Richard Gordon
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Leiden Observatory, Leiden, The Netherlands

    Cornelis Van Schooneveld

Rights and permissions

Reprints and permissions

Copyright information

© 1979 D. Reidel Publishing Company

About this paper

Cite this paper

Gordon, R. (1979). Reconstruction from Projections in Medicine and Astronomy. In: Van Schooneveld, C. (eds) Image Formation from Coherence Functions in Astronomy. Astrophysics and Space Science Library, vol 76. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9449-2_36

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-9449-2_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9451-5

  • Online ISBN: 978-94-009-9449-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation