### Abstract

Statistically based iterative image reconstruction is widely used in emission tomography. One important component in iterative image reconstruction is the system matrix, which defines the mapping from the image space to the data space. Several groups have demonstrated that an accurate system matrix can improve image quality in both SPECT and PET. While iterative methods are amenable to arbitrary and complicated system models, the true system response is never known exactly. In practice, one also has to sacrifice the accuracy of the system model because of limited computing and imaging resources. This paper analyzes the effect of errors in the system matrix on iterative image reconstruction. We derived a theoretical expression for calculating artifacts in a reconstructed image that are caused by errors in the system matrix. Using this theoretical expression, we can address the question of how accurate the system matrix needs to be. Computer simulations were conducted to validate theoretical results.

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

Editors | J.A. Seibert |

Pages | 2854-2858 |

Number of pages | 5 |

Volume | 5 |

State | Published - 2004 |

Event | 2004 Nuclear Science Symposium, Medical Imaging Conference, Symposium on Nuclear Power Systems and the 14th International Workshop on Room Temperature Semiconductor X- and Gamma- Ray Detectors - Rome, Italy Duration: Oct 16 2004 → Oct 22 2004 |

### Other

Other | 2004 Nuclear Science Symposium, Medical Imaging Conference, Symposium on Nuclear Power Systems and the 14th International Workshop on Room Temperature Semiconductor X- and Gamma- Ray Detectors |
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Country | Italy |

City | Rome |

Period | 10/16/04 → 10/22/04 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Vision and Pattern Recognition
- Industrial and Manufacturing Engineering

### Cite this

*IEEE Nuclear Science Symposium Conference Record*(Vol. 5, pp. 2854-2858). [M4-7]

**Effect of errors in the system matrix on iterative image reconstruction.** / Qi, Jinyi; Huesman, Ronald H.

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

*IEEE Nuclear Science Symposium Conference Record.*vol. 5, M4-7, pp. 2854-2858, 2004 Nuclear Science Symposium, Medical Imaging Conference, Symposium on Nuclear Power Systems and the 14th International Workshop on Room Temperature Semiconductor X- and Gamma- Ray Detectors, Rome, Italy, 10/16/04.

}

TY - GEN

T1 - Effect of errors in the system matrix on iterative image reconstruction

AU - Qi, Jinyi

AU - Huesman, Ronald H.

PY - 2004

Y1 - 2004

N2 - Statistically based iterative image reconstruction is widely used in emission tomography. One important component in iterative image reconstruction is the system matrix, which defines the mapping from the image space to the data space. Several groups have demonstrated that an accurate system matrix can improve image quality in both SPECT and PET. While iterative methods are amenable to arbitrary and complicated system models, the true system response is never known exactly. In practice, one also has to sacrifice the accuracy of the system model because of limited computing and imaging resources. This paper analyzes the effect of errors in the system matrix on iterative image reconstruction. We derived a theoretical expression for calculating artifacts in a reconstructed image that are caused by errors in the system matrix. Using this theoretical expression, we can address the question of how accurate the system matrix needs to be. Computer simulations were conducted to validate theoretical results.

AB - Statistically based iterative image reconstruction is widely used in emission tomography. One important component in iterative image reconstruction is the system matrix, which defines the mapping from the image space to the data space. Several groups have demonstrated that an accurate system matrix can improve image quality in both SPECT and PET. While iterative methods are amenable to arbitrary and complicated system models, the true system response is never known exactly. In practice, one also has to sacrifice the accuracy of the system model because of limited computing and imaging resources. This paper analyzes the effect of errors in the system matrix on iterative image reconstruction. We derived a theoretical expression for calculating artifacts in a reconstructed image that are caused by errors in the system matrix. Using this theoretical expression, we can address the question of how accurate the system matrix needs to be. Computer simulations were conducted to validate theoretical results.

UR - http://www.scopus.com/inward/record.url?scp=23844516547&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23844516547&partnerID=8YFLogxK

M3 - Conference contribution

VL - 5

SP - 2854

EP - 2858

BT - IEEE Nuclear Science Symposium Conference Record

A2 - Seibert, J.A.

ER -