Noise propagation in iterative reconstruction algorithms with line searches

Jinyi Qi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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 [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 error in the estimate of noise at early iterations is significantly reduced.

Original languageEnglish (US)
Title of host publicationIEEE Nuclear Science Symposium Conference Record
EditorsS.D. Metzler
Pages2530-2534
Number of pages5
Volume4
StatePublished - 2003
Externally publishedYes
Event2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference - Portland, OR, United States
Duration: Oct 19 2003Oct 25 2003

Other

Other2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference
CountryUnited States
CityPortland, OR
Period10/19/0310/25/03

Fingerprint

Image reconstruction
Tomography

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

Cite this

Qi, J. (2003). Noise propagation in iterative reconstruction algorithms with line searches. In S. D. Metzler (Ed.), IEEE Nuclear Science Symposium Conference Record (Vol. 4, pp. 2530-2534). [M9-6]

Noise propagation in iterative reconstruction algorithms with line searches. / Qi, Jinyi.

IEEE Nuclear Science Symposium Conference Record. ed. / S.D. Metzler. Vol. 4 2003. p. 2530-2534 M9-6.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Qi, J 2003, Noise propagation in iterative reconstruction algorithms with line searches. in SD Metzler (ed.), IEEE Nuclear Science Symposium Conference Record. vol. 4, M9-6, pp. 2530-2534, 2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference, Portland, OR, United States, 10/19/03.
Qi J. Noise propagation in iterative reconstruction algorithms with line searches. In Metzler SD, editor, IEEE Nuclear Science Symposium Conference Record. Vol. 4. 2003. p. 2530-2534. M9-6
Qi, Jinyi. / Noise propagation in iterative reconstruction algorithms with line searches. IEEE Nuclear Science Symposium Conference Record. editor / S.D. Metzler. Vol. 4 2003. pp. 2530-2534
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