Simultaneous Reconstruction of Tissue Attenuation and Radioactivity Maps in SPECT

  • Yi Tian
  • Huafeng Liu
  • Pengcheng Shi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4190)


The importance of accurate attenuation correction in single photon emission computed tomography (SPECT) has been widely recognized. In this paper, we propose a novel scheme of simultaneous reconstruction of the tissue attenuation map and the radioactivity distribution from SPECT emission sinograms, which is obviously beneficial when the transmission data is missing for cost or efficiency reasons. Our strategy combines the SPECT image formation and data measurement models, whereas the attenuation parameters are treated as random variables with known prior statistics. After converting the models to state space representation, the extended Kalman filtering procedures are adopted to linearize the equations and to provide the joint estimates in an approximate optimal sense. Experiments have been performed on synthetic data and real scanning data to illustrate abilities and benefits of the method.


Single Photon Emission Compute Tomography Single Photon Emission Compute Tomography Image Attenuation Parameter State Space Representation Tissue Attenuation 
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  1. 1.
    Krol, A., Bowsher, J.E., Manglos, S.H., Feiglin, D.H., Tomai, M.P., Thomas, F.D.: An em algorithm for estimating spect emission and transmission parameters from emissions data only. IEEE Trans. Med. Imag. 20, 218–232 (2001)CrossRefGoogle Scholar
  2. 2.
    Anscombe, F.J.: The transformation of poisson, binomial and negative-binomial data. Biometrika 35, 246–254 (1948)zbMATHMathSciNetGoogle Scholar
  3. 3.
    Beekman, F.J., Kamphuisa, C., Kingb, M.A., van Rijka, P.P., Viergevera, M.A.: Improvement of image resolution and quantitative accuracy in clinical single photon emission computed tomography. Comput. Med. Imaging Graph 25, 105–111 (2001)CrossRefGoogle Scholar
  4. 4.
    Barrett, H.H., Swindell, W.: Radiological Imaging: The Theory of Image Formation, Detection, and Processing, Academic, San Diego, CA (1981)Google Scholar
  5. 5.
    Zaidi, H., Hasegawa, B.: Determination of the attenuation map in emission tomography. J. Nucl. Med. 44, 291–315 (2003)Google Scholar
  6. 6.
    Nuyts, J., Dupont, P., Stroobants, S., Benninck, R., Mortelmans, L., Suetens, P.: Simultaneous maximum a posteriori reconstruction of attenuation and activity distributions from emission sinograms. IEEE Trans. Med. Imag. 18, 393–403 (1999)CrossRefGoogle Scholar
  7. 7.
    Fleming, J.S.: A technique for using ct images in attenuation correction and quantification in spect. Nucl. Med. Commun. 10, 83–97 (1989)CrossRefGoogle Scholar
  8. 8.
    Rowell, N.P., Glaholm, J., Flower, M.A., Cronin, B., McCready, V.R.: Anatomically derived attenuation coefficients for use in quantitative single photon emission tomography studies of the thorax. Eur. J. Nucl. Med. 19, 36–40 (1992)CrossRefGoogle Scholar
  9. 9.
    Lewitt, R.M., Matej, S.: Overview of methods for image reconstruction from projections in emission computed tomography. Proc. of the IEEE 91, 1588–1611 (2003)CrossRefGoogle Scholar
  10. 10.
    Censor, Y., Gustafson, D., Lent, A., Tuy, H.: A new approach to the emission computerized tomography problem: simultaneous calculation of attenuation and activity coefficients. IEEE Trans. Nucl. Sci. 26, 2275–2279 (1979)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yi Tian
    • 1
  • Huafeng Liu
    • 1
  • Pengcheng Shi
    • 2
    • 3
  1. 1.State Key Laboratory of Modern Optical InstrumentationZhejiang UniversityHangzhouChina
  2. 2.School of Biomedical EngineeringSouthern Medical UniversityGuangzhouChina
  3. 3.Department of Electrical and Electronic EngineeringHong Kong University of Science and TechnologyHong Kong

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