Noise propagation in iterative reconstruction algorithms with line searches

Jinyi Qi

Research output: Contribution to journalArticle

3 Scopus citations


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 compared to the previous work [1] 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 accuracy of the theoretical prediction is significantly improved.

Original languageEnglish (US)
Pages (from-to)57-62
Number of pages6
JournalIEEE Transactions on Nuclear Science
Issue number1 I
StatePublished - Feb 2005


  • Emission tomography
  • Iterative image reconstruction
  • Noise analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Nuclear Energy and Engineering

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