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Information Processing in Medical Imaging pp 169–180Cite as

New Techniques for Truly Three-Dimensional Image Reconstruction

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Abstract

Three dimensional medical images are usually obtained by stacking several parallel slices, each slice being reconstructed separately, using any classical 2 dimensional reconstruction algorithm. This method allows an efficient implementation of the reconstruction, and can be used whenever the measured projection data can be factorized into independent sets, each relative to one single 2 dimensional slice. This is the case, in particular, with multi-ring positron cameras, or with SPECT systems with parallel holes collimators.

Keywords

  • Point Spread Function
  • Modulation Transfer Function
  • Reconstruction Problem
  • Acceptance Region
  • Dimensional Reconstruction

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  • Bateman J.E., Connolly J.F., Stephenson R. et al, 1980, The Rutherford Appleton Laboratory’s Mark I multiwire proportional counter positron camera, Nucl. Instr. Meth., 225: 209.

    CrossRef  Google Scholar 

  • Censor Y., 1983, Finite series-expansion reconstruction method, Proc. IEEE, 71: 409.

    CrossRef  Google Scholar 

  • Cho Z.H., Ra J.B. and Hilal S.K., 1983, True three-dimensional reconstruction - application of algorithm towards full utilization of oblique rays, IEEE Trans. Med. Imag. MI-2: 6.

    CrossRef  Google Scholar 

  • Chu G. and Tam K.C., 1977, 3 dimensional imaging in the positron camera using Fourier techniques, Phys. Med. Biol., 22:245.

    CrossRef  Google Scholar 

  • Clack R., Townsend D.W. and Jeavons A.P., 1984, Increased sensitivity and field of view for a rotating positron camera, Phys. Med. Biol., 29: 1421.

    CrossRef  Google Scholar 

  • Clack R., Townsend D.W. and Defrise M., 1987, Three-dimensional reconstruction using all available cross-plane rays, in preparation.

    Google Scholar 

  • Colsher J.G., 1980, Fully three-dimensional PET, Phys. Med. Biol, 25: 103.

    CrossRef  Google Scholar 

  • Defrise M., Kuijk S. and Deconinck F., 1987, A new three-dimensional reconstruction method for positron cameras using plane detectors, to be published in Phys. Med. Biol.

    Google Scholar 

  • Herman G.T., 1980: “Image reconstruction from projections”, Academic Press, New-York.

    MATH  Google Scholar 

  • Jeavons A.P., Hood K., Herlin G. et al, 1983, The High Density Avalanche Chamber for PET, IEEE Trans. Nucl. Sc., NS-30:640.

    CrossRef  Google Scholar 

  • McIntyre J.A., 1981, Computer assisted tomography without a computer, IEEE Trans. Nucl. Sc., NS-28: 171.

    CrossRef  Google Scholar 

  • Orlov S.S., 1975, Theory of three dimensional reconstruction, Conditions for a complete set of projections, Sov. Phys. Crystallogr., 20: 312.

    Google Scholar 

  • Perez-Mendez V., Schwartz G., Nelson W.R. et al, 1983, Further improvements in the design of a positron camera with dense drift space MWPC’s, Nucl. Instr. Meth., 217: 89.

    CrossRef  Google Scholar 

  • Schorr B., Townsend D.W. and Clack R., 1983, A general method of three-dimensional filter computation, Phys. Med. Biol., 28: 305.

    CrossRef  Google Scholar 

  • Tam K.C. and Perez-Mendez V. 1981 a, Tomographical imaging with limited angle input, J. Opt. Soc. Am., 71: 582.

    MathSciNet  CrossRef  Google Scholar 

  • Tam K.C. and Perez-Mendez V., 1981 b, Limits to image reconstruction with restricted angular input, IEEE Trans. Nucl. Sc., NS-28:179.

    CrossRef  Google Scholar 

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Author information

Authors and Affiliations

  1. Division of Nuclear Medicine, Akademisch Ziekenhuis, VUB, Brussels, Belgium

    M. Defrise

  2. Department of Mathematics, Dalhousie University, Halifax, Canada

    R. Clack

  3. Division of Nuclear Medicine, University Hospital, Geneva, Switzerland

    D. Townsend

Authors
  1. M. Defrise
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  2. R. Clack
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  3. D. Townsend
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Editor information

Editors and Affiliations

  1. Institute of Nuclear Medicine, University Hospital Utrecht, room 73038, Catharijnesingel 101, 3511 GV, Utrecht, The Netherlands

    C. N. de Graaf

  2. Dept. of Mathematics and Informatics, Delft University of Technology, PO Box 356, 2600 AJ, Delft, The Netherlands

    M. A. Viergever

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© 1988 Springer Science+Business Media New York

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Defrise, M., Clack, R., Townsend, D. (1988). New Techniques for Truly Three-Dimensional Image Reconstruction. In: de Graaf, C.N., Viergever, M.A. (eds) Information Processing in Medical Imaging. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7263-3_10

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  • DOI: https://doi.org/10.1007/978-1-4615-7263-3_10

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