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New Techniques for Truly Three-Dimensional Image Reconstruction

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Information Processing in Medical Imaging

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.

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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.

    Article  Google Scholar 

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

    Article  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.

    Article  Google Scholar 

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

    Article  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.

    Article  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.

    Article  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.

    Article  Google Scholar 

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

    Article  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.

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  MathSciNet  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.

    Article  Google Scholar 

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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

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7265-7

  • Online ISBN: 978-1-4615-7263-3

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