Propagation of errors from the sensitivity image in list mode reconstruction

Jinyi Qi, Ronald H. Huesman

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

2 Citations (Scopus)

Abstract

List mode image reconstruction is attracting renewed attention. It eliminates the storage of empty sinogram bins. However, a single back projection of all LORs is still necessary for the pre-calculation of a sensitivity image. Since the detection sensitivity is dependent on the object attenuation and detector efficiency, it must be computed for each study. Exact computation of the sensitivity image can be a daunting task for modern scanners with huge numbers of LORs. Thus, some fast approximate calculation may be desirable. In this paper, we theoretically analyze the error propagation from the sensitivity image into the reconstructed image. The theoretical analysis is based on the fixed point condition of the list mode reconstruction. The non-negativity constraint is modeled using the Kuhn-Tucker condition. With certain assumptions and the first order Taylor series approximation, we derive a closed form expression for the error in the reconstructed image as a function of the error in the sensitivity image. The result provides insights on what kind of error might be allowable in the sensitivity image. Computer simulations show that the theoretical results are in good agreement with the measured results.

Original languageEnglish (US)
Title of host publicationIEEE Nuclear Science Symposium Conference Record
EditorsS.D. Metzler
Pages3087-3091
Number of pages5
Volume5
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

Taylor series
Bins
Image reconstruction
Detectors
Computer simulation

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

Cite this

Qi, J., & Huesman, R. H. (2003). Propagation of errors from the sensitivity image in list mode reconstruction. In S. D. Metzler (Ed.), IEEE Nuclear Science Symposium Conference Record (Vol. 5, pp. 3087-3091). [M14-222]

Propagation of errors from the sensitivity image in list mode reconstruction. / Qi, Jinyi; Huesman, Ronald H.

IEEE Nuclear Science Symposium Conference Record. ed. / S.D. Metzler. Vol. 5 2003. p. 3087-3091 M14-222.

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

Qi, J & Huesman, RH 2003, Propagation of errors from the sensitivity image in list mode reconstruction. in SD Metzler (ed.), IEEE Nuclear Science Symposium Conference Record. vol. 5, M14-222, pp. 3087-3091, 2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference, Portland, OR, United States, 10/19/03.
Qi J, Huesman RH. Propagation of errors from the sensitivity image in list mode reconstruction. In Metzler SD, editor, IEEE Nuclear Science Symposium Conference Record. Vol. 5. 2003. p. 3087-3091. M14-222
Qi, Jinyi ; Huesman, Ronald H. / Propagation of errors from the sensitivity image in list mode reconstruction. IEEE Nuclear Science Symposium Conference Record. editor / S.D. Metzler. Vol. 5 2003. pp. 3087-3091
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