Title :
NMR object boundaries: B-spline modeling and estimator performance
Author :
Titus, Stephen R. ; Hero, Alfred O., III ; Fessler, Jeffrey A.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
We give estimation error bounds and specify optimal estimators for continuous, closed boundary curves in an NMR image. The boundary is parameterized using periodic B-splines. A Cramer-Rao lower bound on mean-square-estimate error in the presence of system smoothing and Gaussian noise is derived, and the performance of maximum likelihood and penalized maximum likelihood estimators is compared to this bound. Finally, we comment on the usefulness of estimates of the boundary for providing anatomical side information in the reconstruction of functional tomographic images like those of a PET or SPECT system
Keywords :
Gaussian noise; biomedical NMR; error analysis; image reconstruction; maximum likelihood estimation; medical image processing; positron emission tomography; single photon emission computed tomography; smoothing methods; splines (mathematics); B-spline modeling; Cramer-Rao lower bound; Gaussian noise; NMR image; NMR object boundaries; PET system; SPECT system; anatomical side information; closed boundary curves; estimation error bounds; estimator performance; functional tomographic image reconstruction; maximum likelihood estimators; mean-square-estimate error; optimal estimators; penalized maximum likelihood estimators; performance; system smoothing; Estimation error; Gaussian noise; Image reconstruction; Interpolation; Maximum likelihood estimation; Nuclear magnetic resonance; Polynomials; Positron emission tomography; Smoothing methods; Spline;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.479982
