### Abstract

The Fisher Information Matrix (FIM) plays a key role in the analysis and applications of statistical image recon-struction 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, which achieves a bias of less than 2% for mean sinogram values greater than 0.7. 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 reconstructed image resolution in both high and low count situations.

Original language | English (US) |
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Title of host publication | IEEE Nuclear Science Symposium Conference Record |

Editors | S.D. Metzler |

Pages | 2012-2016 |

Number of pages | 5 |

Volume | 3 |

State | Published - 2003 |

Event | 2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference - Portland, OR, United States Duration: Oct 19 2003 → Oct 25 2003 |

### Other

Other | 2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference |
---|---|

Country | United States |

City | Portland, OR |

Period | 10/19/03 → 10/25/03 |

### Fingerprint

### Keywords

- Fisher Information Matrix
- Hyperparameters
- Uniform Resolution

### ASJC Scopus subject areas

- Computer Vision and Pattern Recognition
- Industrial and Manufacturing Engineering

### Cite this

*IEEE Nuclear Science Symposium Conference Record*(Vol. 3, pp. 2012-2016). [M5-3]

**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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IEEE Nuclear Science Symposium Conference Record.*vol. 3, M5-3, pp. 2012-2016, 2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference, Portland, OR, United States, 10/19/03.

}

TY - GEN

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 - 2003

Y1 - 2003

N2 - The Fisher Information Matrix (FIM) plays a key role in the analysis and applications of statistical image recon-struction 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, which achieves a bias of less than 2% for mean sinogram values greater than 0.7. 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 reconstructed image resolution in both high and low count situations.

AB - The Fisher Information Matrix (FIM) plays a key role in the analysis and applications of statistical image recon-struction 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, which achieves a bias of less than 2% for mean sinogram values greater than 0.7. 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 reconstructed image resolution in both high and low count situations.

KW - Fisher Information Matrix

KW - Hyperparameters

KW - Uniform Resolution

UR - http://www.scopus.com/inward/record.url?scp=11844282745&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=11844282745&partnerID=8YFLogxK

M3 - Conference contribution

VL - 3

SP - 2012

EP - 2016

BT - IEEE Nuclear Science Symposium Conference Record

A2 - Metzler, S.D.

ER -