Scholars@Duke

Reconstruction of SPECT images using generalized matrix inverses.

Publication ,  Journal Article
Smith, MF; Floyd, CR; Jaszczak, RJ; Coleman, RE
Published in: IEEE Trans Med Imaging
1992
Published version (DOI) Link to item

Generalized matrix inverses are used to estimate source activity distributions from single photon emission computed tomography (SPECT) projection measurements. Image reconstructions for a numerical simulation and a clinical brain study are examined. The photon flux from the source region and photon detection by the gamma camera are modeled by matrices which are computed by Monte Carlo methods. The singular value decompositions (SVDs) of these matrices give considerable insight into the SPECT image reconstruction problem and the SVDs are used to form approximate generalized matrix inverses. Tradeoffs between resolution and error in estimating source voxel intensities are discussed, and estimates of these errors provide a robust means of stabilizing the solution to the ill-posed inverse problem. In addition to its quantitative clinical applications, the generalized matrix inverse method may be a useful research tool for tasks such as evaluating collimator design and optimizing gamma camera motion.

Duke Scholars

Ronald J. Jaszczak
Author Ronald J. Jaszczak Radiology
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Published In

IEEE Trans Med Imaging

DOI

10.1109/42.141640

ISSN

0278-0062

Publication Date

1992

Volume

11

Issue

2

Start / End Page

165 / 175

Location

United States

Related Subject Headings

  • Nuclear Medicine & Medical Imaging
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
 

Citation

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Smith, M. F., Floyd, C. R., Jaszczak, R. J., & Coleman, R. E. (1992). Reconstruction of SPECT images using generalized matrix inverses. IEEE Trans Med Imaging, 11(2), 165–175. https://doi.org/10.1109/42.141640
Smith, M. F., C. R. Floyd, R. J. Jaszczak, and R. E. Coleman. “Reconstruction of SPECT images using generalized matrix inverses.” IEEE Trans Med Imaging 11, no. 2 (1992): 165–75. https://doi.org/10.1109/42.141640.
Smith MF, Floyd CR, Jaszczak RJ, Coleman RE. Reconstruction of SPECT images using generalized matrix inverses. IEEE Trans Med Imaging. 1992;11(2):165–75.
Smith, M. F., et al. “Reconstruction of SPECT images using generalized matrix inverses.” IEEE Trans Med Imaging, vol. 11, no. 2, 1992, pp. 165–75. Pubmed, doi:10.1109/42.141640.
Smith MF, Floyd CR, Jaszczak RJ, Coleman RE. Reconstruction of SPECT images using generalized matrix inverses. IEEE Trans Med Imaging. 1992;11(2):165–175.

Published In

IEEE Trans Med Imaging

DOI

10.1109/42.141640

ISSN

0278-0062

Publication Date

1992

Volume

11

Issue

2

Start / End Page

165 / 175

Location

United States

Related Subject Headings

  • Nuclear Medicine & Medical Imaging
  • 46 Information and computing sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences