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

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Medical Imaging and Augmented Reality (MIAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4091))

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Abstract

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.

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Author information

Authors and Affiliations

  1. State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou, China

    Huafeng Liu & Yi Tian

  2. Zhejiang-California International NanoSystems Institute, Hangzhou, China

    Huafeng Liu & Yi Tian

  3. Key Laboratory of Medical Image Processing, Southern Medical University, Guangzhou, China

    Pengcheng Shi

  4. Department of Electrical and Electronic Engineering, Hong Kong University of Science and Technology, Hong Kong

    Pengcheng Shi

Authors
  1. Huafeng Liu
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  2. Yi Tian
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  3. Pengcheng Shi
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Editor information

Editors and Affiliations

  1. Royal Society/Wolfson Medical Image Computing Laboratory & Department of Biosurgery and Surgical Technology, Imperial College London, London, United Kingdom

    Guang-Zhong Yang

  2. National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, 100080, Beijing, People’s Republic of China

    TianZi Jiang

  3. Department of Radiology and Biomedical Research Imaging Center, University of North Carolina, 27510, Chapel Hill, NC

    Dinggang Shen

  4. Computer Science, Shanghai Jiaotong University, 800 Dongchuan Road, 200240, Shanghai, China

    Lixu Gu

  5. Institute of IP & PR, Shanghai Jiao Tong Univ., P.R. China

    Jie Yang

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© 2006 Springer-Verlag Berlin Heidelberg

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Liu, H., Tian, Y., Shi, P. (2006). Simultaneous Estimation of PET Attenuation and Activity Images with Divided Difference Filters. In: Yang, GZ., Jiang, T., Shen, D., Gu, L., Yang, J. (eds) Medical Imaging and Augmented Reality. MIAR 2006. Lecture Notes in Computer Science, vol 4091. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11812715_38

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  • DOI: https://doi.org/10.1007/11812715_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37220-2

  • Online ISBN: 978-3-540-37221-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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