Abstract
The Fisher information matrix (FIM) plays a key role in the analysis and applications of statistical image reconstruction methods based on Poisson data models. The elements of the FIM are a function of the reciprocal of the mean values of sinogram elements. Conventional plug-in FIM estimation methods do not work well at low counts, where the FIM estimate is highly sensitive to the reciprocal mean estimates at individual detector pairs. A generalized error look-up table (GELT) method is developed to estimate the reciprocal of the mean of the sinogram data. This approach is also extended to randoms precorrected data. Based on these techniques, an accurate FIM estimate is obtained for both Poisson and randoms precorrected data. As an application, the new GELT method is used to improve resolution uniformity and achieve near-uniform image resolution in low count situations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1057-1064 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Medical Imaging |
| Volume | 23 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2004 |
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Keywords
- Fisher information matrix
- Image reconstruction
- PET
- Uniform resolution
ASJC Scopus subject areas
- Biomedical Engineering
- Radiology Nuclear Medicine and imaging
- Radiological and Ultrasound Technology
- Electrical and Electronic Engineering
- Computer Science Applications
- Computational Theory and Mathematics
Cite this
Accurate estimation of the Fisher information matrix for the PET image reconstruction problem. / Li, Quanzheng; Asma, Evren; Qi, Jinyi; Bading, James R.; Leahy, Richard M.
In: IEEE Transactions on Medical Imaging, Vol. 23, No. 9, 09.2004, p. 1057-1064.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Accurate estimation of the Fisher information matrix for the PET image reconstruction problem
AU - Li, Quanzheng
AU - Asma, Evren
AU - Qi, Jinyi
AU - Bading, James R.
AU - Leahy, Richard M.
PY - 2004/9
Y1 - 2004/9
N2 - The Fisher information matrix (FIM) plays a key role in the analysis and applications of statistical image reconstruction methods based on Poisson data models. The elements of the FIM are a function of the reciprocal of the mean values of sinogram elements. Conventional plug-in FIM estimation methods do not work well at low counts, where the FIM estimate is highly sensitive to the reciprocal mean estimates at individual detector pairs. A generalized error look-up table (GELT) method is developed to estimate the reciprocal of the mean of the sinogram data. This approach is also extended to randoms precorrected data. Based on these techniques, an accurate FIM estimate is obtained for both Poisson and randoms precorrected data. As an application, the new GELT method is used to improve resolution uniformity and achieve near-uniform image resolution in low count situations.
AB - The Fisher information matrix (FIM) plays a key role in the analysis and applications of statistical image reconstruction methods based on Poisson data models. The elements of the FIM are a function of the reciprocal of the mean values of sinogram elements. Conventional plug-in FIM estimation methods do not work well at low counts, where the FIM estimate is highly sensitive to the reciprocal mean estimates at individual detector pairs. A generalized error look-up table (GELT) method is developed to estimate the reciprocal of the mean of the sinogram data. This approach is also extended to randoms precorrected data. Based on these techniques, an accurate FIM estimate is obtained for both Poisson and randoms precorrected data. As an application, the new GELT method is used to improve resolution uniformity and achieve near-uniform image resolution in low count situations.
KW - Fisher information matrix
KW - Image reconstruction
KW - PET
KW - Uniform resolution
UR - http://www.scopus.com/inward/record.url?scp=4444326487&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4444326487&partnerID=8YFLogxK
U2 - 10.1109/TMI.2004.833202
DO - 10.1109/TMI.2004.833202
M3 - Article
C2 - 15377114
AN - SCOPUS:4444326487
VL - 23
SP - 1057
EP - 1064
JO - IEEE Transactions on Medical Imaging
JF - IEEE Transactions on Medical Imaging
SN - 0278-0062
IS - 9
ER -