Simultaneous Estimation of PET Attenuation and Activity Images with Divided Difference Filters

  • Huafeng Liu
  • Yi Tian
  • Pengcheng Shi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4091)


For quantitative image reconstruction in positron emission tomography attenuation correction is necessary. A common technique used for attenuation correction is based on patient-specific attenuation maps reconstructed from transmission data acquired with external sources. However, the transmission process increases measurement time, costs and radiation exposure, and generates misregistration errors due to patient motion. In this paper, we propose a framework for simultaneous reconstruction of activity distribution together with the attenuation map from emission data alone. The estimation process is accomplished by solving a nonlinear stationary state space model with a divided difference filter. A Zubal digital thorax phantom data is used to demonstrate the benefits of such a reconstruction.


Positron Emission Tomography Attenuation Correction Simultaneous Estimation Activity Image Positron Emission Tomography Reconstruction 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Huafeng Liu
    • 1
    • 2
  • Yi Tian
    • 1
    • 2
  • Pengcheng Shi
    • 3
    • 4
  1. 1.State Key Laboratory of Modern Optical InstrumentationZhejiang UniversityHangzhouChina
  2. 2.Zhejiang-California International NanoSystems InstituteHangzhouChina
  3. 3.Key Laboratory of Medical Image ProcessingSouthern Medical UniversityGuangzhouChina
  4. 4.Department of Electrical and Electronic EngineeringHong Kong University of Science and TechnologyHong Kong

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