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Constrained least squares regularization in PET

Publication ,  Journal Article
Choudhury, KR; O'Sullivan, F
Published in: IEEE Nuclear Science Symposium & Medical Imaging Conference
December 1, 1996

Standard reconstruction methods used in tomography produce images with undesirable negative artifacts in background and in areas of high local contrast. While sophisticated statistical reconstruction methods can be devised to correct for these artifacts, their computational implementation is excessive for routine operational use. This work describes a technique for rapid computation of approximate constrained least squares regularization estimates. The unique feature of the approach is that it involves no iterative projection or backprojection steps. This contrasts with the familiar computationally intensive algorithms based on algebraic reconstruction (ART) or expectation-maximization (EM) methods. Experimentation with the new approach for deconvolution and mixture analysis shows that the root mean square error quality of estimators based on the proposed algorithm matches and usually dominates that of more elaborate maximum likelihood, at a fraction of the computational effort.

Duke Scholars

Published In

IEEE Nuclear Science Symposium & Medical Imaging Conference

Publication Date

December 1, 1996

Volume

3

Start / End Page

1757 / 1761
 

Citation

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Choudhury, K. R., & O’Sullivan, F. (1996). Constrained least squares regularization in PET. IEEE Nuclear Science Symposium & Medical Imaging Conference, 3, 1757–1761.
Choudhury, K. R., and F. O’Sullivan. “Constrained least squares regularization in PET.” IEEE Nuclear Science Symposium & Medical Imaging Conference 3 (December 1, 1996): 1757–61.
Choudhury KR, O’Sullivan F. Constrained least squares regularization in PET. IEEE Nuclear Science Symposium & Medical Imaging Conference. 1996 Dec 1;3:1757–61.
Choudhury, K. R., and F. O’Sullivan. “Constrained least squares regularization in PET.” IEEE Nuclear Science Symposium & Medical Imaging Conference, vol. 3, Dec. 1996, pp. 1757–61.
Choudhury KR, O’Sullivan F. Constrained least squares regularization in PET. IEEE Nuclear Science Symposium & Medical Imaging Conference. 1996 Dec 1;3:1757–1761.

Published In

IEEE Nuclear Science Symposium & Medical Imaging Conference

Publication Date

December 1, 1996

Volume

3

Start / End Page

1757 / 1761