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Noise Propagation in Iterative Reconstruction Algorithms with Line Searches.


DE2004820788

Publication Date 2003
Personal Author Qi, J.
Page Count 10
Abstract In this paper we analyze the propagation of noise in iterative image reconstruction algorithms. We derive theoretical expressions for the general form of preconditioned gradient algorithms with line searches. The results are applicable to a wide range of iterative reconstruction problems, such as emission tomography, transmission tomography, and image restoration. A unique contribution of this paper comparing to our previous work is that the line search is explicitly modeled and we do not use the approximation that the gradient of the objective function is zero. As a result, the error in the estimate of noise at early iterations is significantly reduced.
Keywords
  • Noise propagation
  • Tomography
  • Algorithms
  • Image processing
  • Reconstruction
  • Image reconstruction
  • PET(Positron emission tomography)
Source Agency
  • Technical Information Center Oak Ridge Tennessee
Corporate Authors Lawrence Berkeley National Lab., CA. Nuclear Science Div.; Department of Energy, Washington, DC.
Supplemental Notes Sponsored by Department of Energy, Washington, DC.
Document Type Technical Report
NTIS Issue Number 200414
Noise Propagation in Iterative Reconstruction Algorithms with Line Searches.
Noise Propagation in Iterative Reconstruction Algorithms with Line Searches.
DE2004820788

  • Noise propagation
  • Tomography
  • Algorithms
  • Image processing
  • Reconstruction
  • Image reconstruction
  • PET(Positron emission tomography)
  • Technical Information Center Oak Ridge Tennessee
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