Skip to main content

The Projection-Slice Theorem

  • Chapter
Fourier Analysis and Imaging

Abstract

When a function has circular symmetry, its two-dimensional Fourier transform can be expressed as a Hankel transform in terms of the single radial variable \( q = \sqrt {u^2 + v^2 } \) in the transform plane, as noted earlier.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
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.

Literature cited

  • R.N. Bracewell (1956), “Strip integration in radioastronomy,” Aust. J. Phys., vol. 9, pp. 198–217.

    Article  MathSciNet  MATH  Google Scholar 

  • R. N. Bracewell (1979), “Computer image processing,” Annual Reviews of Astronomy and Astrophysics, vol. 17, pp. 113–134.

    Article  Google Scholar 

  • R. N. Bracewell AND A. C. Riddle (1967), “Inversion of fan beam scans in radio astronomy,” Astrophysical Journal, vol. 150, pp. 427–434.

    Article  Google Scholar 

  • S. R. Deans (1983), The Radon Transform and Some of Its Applications, John Wiley & Sons, New York.

    MATH  Google Scholar 

  • G. T. Herman, ed. (1979), “Image reconstruction in radio astromony,” chap. 3 of Image Reconstruction from Projections: Implementation and Applications, Topics in Applied Physics, vol. 32, pp. 81–104, Springer, Berlin.

    Chapter  Google Scholar 

  • W. T. Sullivan, III, ed. (1984), “Early work on imaging theory in radio astronomy,” in The Early Years of Radio Astronomy, pp. 167–190. Cambridge University Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bracewell, R. (2003). The Projection-Slice Theorem. In: Fourier Analysis and Imaging. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8963-5_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-8963-5_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4738-5

  • Online ISBN: 978-1-4419-8963-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics