Estimating Precision in Functional Images

Journal of Computational and Graphical Statistics

Volumn 6, Issue 1, 1997, Pages 132-142

  Maitra, Ranjan ^a  

^a TELCORDIA TECHNOLOGIES   (United States)

Author keywords

Bootstrap; Convolution; Fast Fourier transform; Filtered backprojection; Generalized linear model; Mixture analysis; Multivariate Gaussian distribution; PET; Radio tracer; Radon transform; Source distribution; Sub TAC; TAC; Toeplitz matrix; Variable span smoother

Indexed keywords

EID: 0031286816     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.1997.10474732     Document Type: Article

References (18)

1. Alpert, N. M., Chesler, D. A., Correia, J. A., Ackerman, R. H., Chang, J. H., Finklestein, S., Davis, S. M., Brownell, G. L., and Taveras, J. M. (1982), “Estimation of the Local Statistical Noise in Emission Computed Tomography,” IEEE Transactions on Medical Imaging, MI-1, 142-146.
2. Blomqvist, G., Eriksson L., and Rosenqvist G. (1995), “The Effect of Spatial Correlation on the Quantification in Positron Emission Tomography,” Neuroimage, 2.
3. Carson, R. E., Yan, Y., Daube-Witherspoon, M. E., Freedman, N., Bacharach, S. L., and Herscovitch, P. (1993), “An Approximation Formula for the Variance of PET Region-of-Interest Values,” IEEE Transactions on Medical Imaging, 12, 240-250.
4. Choudhury, K. R., and O’Sullivan, F. (1995), “A Statistical Examination of FBP and ML for Estimating Mixture Models from Dynamic PET Data,” 1995 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, 3, 1237-1241.
5. Efron, B. (1982), The Jackknife, the Bootstrap and Other Resampling Plans, Philadelphia, PA: SIAM.
6. Friedman, J. H. (1984), “A Variable Span Smoother,” technical report 5, Laboratory for Computational Statistics, Stanford University, Dept, of Statistics.
7. Haynor, D. R., and Woods, S. D. (1989), “Resampling Estimates of Precision in Emission Tomography,” IEEE Transactions on Medical Imaging, 8, 337-343.
8. Huesman, R. H. (1984), “A New Fast Algorithm for the Evaluation of Regions of Interest and Statistical Uncertainty in Computed Tomography,” Physics in Medicine and Biology, 29, 543-552.
9. Maitra, R. (1996), “Variability Estimation in Linear Inverse Problems,” unpublished Ph.D. dissertation, University of Washington, Dept, of Statistics.
10. Maitra, R., and O’Sullivan, F. (1995), “Estimating the Variability of Reconstructed PET Data: A Technique Based on Approximating the Reconstruction Filter by a sum of Gaussian Kernels,” 1995 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, 3, 1411-1414.
11. Maitra, R., and O’Sullivan, F. (1997), “Variability Assessment in PET and Related Generalized Deconvolution Models,” submitted to the Journal of the American Statistical Association.
12. O’Sullivan, F. (1993), “Imaging Radiotracer Model Parameters in PET: A Mixture Analysis Approach,” IEEE Transactions on Medical Imaging, 12, 399-412.
13. O’Sullivan, F. (1994), “Metabolic Images From Dynamic Positron Emission Tomography Studies,” Statistical Methods in Medical Research, 3, 87-101.
14. O’Sullivan, F., Pawitan, Y., and Haynor, D. (1993), “Reducing Negativity Artifacts in Emission Tomography: Post-Processing Filtered Backprojection Solutions,” IEEE Transactions on Medical Imaging, 12, 653-663.
15. Phelps, M. E., Huang, S. C., Hoffman, E. J., Selin, C., Sokoloff, L., and Kuhl, D. E. (1979), “Tomographic Measurement of Local Cerebral Glucose Metabolic Rate in Humans With [F-18]2-Fluoro-2-deoxy-D-glucose: Validation of Method,” The Annals of Neurology, 6, 371-388.
16. Snyder, D. L., Thomas, L. J., and Ter-Porgossian, M. M. (1981), “A Mathematical Model for Positron Emission Tomography System Having Time of Flight Measurement,” IEEE Transactions on Nuclear Science, 28, 3575-3581.
17. Ter-Porgossian, M. M., Raichle, M. E., and Sobel, B. E. (1980), “Positron Emission Tomography,” Scientific American, 243, 170-181.
18. Vardi, Y., Shepp, L. A., and Kaufman, L. A. (1985), “Statistical Model for Positron Emission Tomography,” Journal of the American Statistical Association, 80, 8-37.