Acta mathematica scientia,Series A

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The Inverse Problem of Single Photon Emission

Computed Tomography

Huang Hui ; Fei Pusheng ;Yuan Yuan
  

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072
  • Received:2005-10-09 Revised:2007-05-05 Online:2008-02-25 Published:2008-02-25
  • Contact: Huang Hui

Abstract: The image reconstruction processing in Single Photon Emission Computed Tomography (SPECT)
is a very ill-posed inverse problem. Due to its practical importance for medical diagnostics, this problem has been addressed various times recently. In this paper, the authors discuss theoretical settings of SPECT and propose new numerical strategies based on Tikhonov-type regularization for solving it. Moreover, multilevel continuation mechanism for large-scale problems is designed. Numerical results and conclusion follow.

Key words: SPECT, Tikhonov Regularization, Huber Norm, Multilevel Continuation.

CLC Number: 

  • 65
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