Skip to main content

Applications of Iterative Reconstruction Methods in SPECT

  • Conference paper
Medical Images: Formation, Handling and Evaluation

Part of the book series: NATO ASI Series ((NATO ASI F,volume 98))

Abstract

We have applied iterative reconstruction methods to compensate for the major image degrading effects of photon attenuation and geometric response in SPECT imaging. The compensation methods implement, in the projection and backprojection operations of the iterative reconstruction algorithms, an accurate model of photon attenuation in the patient’s body and the geometric response of the collimated-detector system. To evaluate the corrective iterative reconstruction methods, data from a computer-generated phantom which simulated T1-201 distribution in the thoracic region was used. Also, the techniques were assessed using data from a cardiac SPECT study with T1-201. Our studies indicate that compensations for attenuation and detector response in SPECT are possible using iterative reconstruction techniques. The compensations are especially important when the attenuation coefficient distribution in the body region, such as the thorax, is non-uniform. The attenuation compensation scheme using the iterative maximum likelihood-EM (ML-EM) algorithm can provide reconstructed images with low noise amplification, and accurate quantitative information without distortions and artifacts. Also, compensation for detector response gives additional improvement in spatial resolution.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight 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

  • Bailey, D.L, Hutton, B.R., and Walker, P.J. (1987). Improved SPECT using simultaneous emission and transmission tomography, J. Nucl. Med. 28, pp. 844–851.

    Google Scholar 

  • Budinger, T.F., and Gullberg, G.T. (1974). Three-dimensional reconstruction in nuclear medicine emission imaging, IEEE. Trans. Nucl. Sci. NS-21, pp. 2–10.

    Google Scholar 

  • Budinger, T.F., Gullberg, G.T., and Huesman, R.H. (1979). Emission computer tomography. In: Image Reconstruction from Projections: Implementation and Applications, G.T. Herman (ed.), Springer-Verlag, New York, pp. 540–541.

    Google Scholar 

  • Chang, L.T. (1978). A method for attenuation correction in radionuclide computed tomography, IEEE Trans. Nucl. Sci. NS-25, pp. 638–642.

    Article  Google Scholar 

  • Gordon, R. (1974). A Tutorial on ART, IEEE Trans. Nucl. Sci. NS-21, pp. 78–93.

    Google Scholar 

  • Gordon, R., and Herman, G.T. (1974). Three dimensional reconstruction from projections: A review of algorithms, Int. Rev. Cyto. 38, pp. 111–151.

    Article  CAS  Google Scholar 

  • Gullberg, G.T. (1979). The Attenuated Radon Transform: Theory and Application in Medicine and Biology. Ph.D. Dissertation, University of California at Berkeley.

    Google Scholar 

  • Gullberg, G.T., and Budinger, T.F. (1981). The use of filtering methods to compensate for constant attenuation in single-photon emission computed tomography. IEEE Trans. Biomed. Eng. BME-28, PP. 142–157.

    Article  Google Scholar 

  • Gullberg, G.T., Huesman, R.H., Malko, J.A. Pelc, J.J., and Budinger, T.F. (1985). An attenuated projector-backprojector for iterative SPECT reconstruction, Phys. Med. Biol. 30, pp. 799–816.

    Article  PubMed  CAS  Google Scholar 

  • Herman, G.T., Lent, A., and Rowland, S. (1973). ART: Mathematics and applications. A report on the mathematical foundations and on the applicability to real data of the Algebraic Reconstruction Techniques, J. Theor. Biol. 42, pp. 1–32.

    Article  PubMed  CAS  Google Scholar 

  • Hsieh, R.C., and Wee, W.G. (1976). On methods of three-dimensional reconstruction from a set of radioisotope scintigrams, IEEE Trans. Syst. Man Cybern. SMC-6, pp. 854–862.

    Article  Google Scholar 

  • Huesman, R.H., Gullberg, G.T., Greenberg, W.L., and Budinger, T.F. (1977). RECLBL library users manual. Lawrence Berkeley Laboratory, University of California.

    Google Scholar 

  • Kaufman, L. (1987). Implementing and accelerating the EM algorithm for positron emission tomography. IEEE Trans. Med. Imaging MI-6, pp. 37–51.

    Article  Google Scholar 

  • Kay, D.B., and Keyes, J.W. (1975). First order corrections for absorption and resolution compensation in radionuclide Fourier tomography. J. Nucl. Med. 16, pp. 540–541.

    Google Scholar 

  • King, M.A., Schwinger, R.B., Doherty, P.W. (1984). Two-dimensional filtering of SPECT images using the Metz and Wiener filters, J. Nucl. Med. 25, pp. 1234–1240.

    PubMed  CAS  Google Scholar 

  • Lewitt, R.M., and Muehllehner, G. (1986). Accelerated iterative reconstruction for positron emission tomography based on the EM algorithm for maximum likelihood estimation. IEEE Trans. Med. Imaging MI-5, pp. 16–22.

    Article  Google Scholar 

  • Madsen, M.T., and Park, C.H. (1985). Enhancement of SPECT images by Fourier filtering the projection image set. J. Nucl. Med. 26, pp. 395–402.

    PubMed  CAS  Google Scholar 

  • Metz, C.E., and Chen, C.T. (1988). On the acceleration of maximum likelihood algorithms. SPIE, in press.

    Google Scholar 

  • Ortega, J.M. and Rheinboldt, W.C. (1970). Iterative solution of nonlinear equations in several variables, Academic Press, New York.

    Google Scholar 

  • Shepp, L.A., and Vardi, Y. (1982). Maximum likelihood reconstruction for emission tomography. IEEE Trans. Med. Imaging MI-1, pp. 113–122.

    Article  Google Scholar 

  • Tanaka, E. (1987). A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm. IEEE Trans. Med. Imaging MI-6, pp. 98–105.

    Article  Google Scholar 

  • Tretiak, O.J., and Delaney, P. (1978). The exponential convolution algorithm for emission computed axial tomography. In: Rev. Inform. Process. Med. Imaging. Proc. 5th Int. Conf., Vanderbilt Univ., Nashville, TN, A.B. Brill and R.R. Price (ed.), Oak Ridge National Laboratory Rep. ORNL/BNCTIC-2, pp266–278.

    Google Scholar 

  • Tretiak, O.J., and Metz, C.E. (1980). The exponential Radon transform. SIAM J. Appl. Math., 39, pp. 341–354.

    Article  Google Scholar 

  • Walters, T.E., Simon, W., Chesler, D.A., Correia, J.A. and Riederer, S.J. (1976). Radionuclide axial tomography with correction for internal absorption. In: Information Processing in Scintigraphy. C. Raynaud and A. Todd-Pokropek, (eds.), Orsay, France: Comissariat a L’energie Atomique, pp. 333-342.

    Google Scholar 

  • Webb, S., Long, A.P., Ott, R.J. (1985). Constrained deconvolution of SPECT liver tomograms by direct digital image reconstruction, Med. Phys. 12, pp. 53–58.

    Article  PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tsui, B.M.W. et al. (1992). Applications of Iterative Reconstruction Methods in SPECT. In: Todd-Pokropek, A.E., Viergever, M.A. (eds) Medical Images: Formation, Handling and Evaluation. NATO ASI Series, vol 98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77888-9_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-77888-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77890-2

  • Online ISBN: 978-3-642-77888-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics