### Abstract

We describe a method for computing a continuous time estimate of tracer density using list mode PET data. The rate function in each voxel is modeled as an inhomogeneous Poisson process whose rate function can be represented using a cubic B-spline basis. The rate functions are estimated by maximizing the likelihood of the arrival times of detected photon pairs over the control vertices of the spline, modified by quadratic spatial and temporal smoothness penalties and a penalty term to enforce non-negativity. Randoms rate functions are estimated by assuming independence between the spatial and temporal randoms distributions. Similarly, scatter rate functions are estimated by assuming spatiotemporal independence and that the temporal distribution of the scatter is proportional to the temporal distribution of the trues. A quantitative evaluation was performed using simulated data and the method was also demonstrated in human studies using O-15 water and C-11 raclopride.

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

Editors | D. Merelli, J. Surget, M. Ulma |

Volume | 2 |

Publication status | Published - 2000 |

Externally published | Yes |

Event | 2000 IEEE Nuclear Science Symposium Conference Record - Lyon, France Duration: Oct 15 2000 → Oct 20 2000 |

### Other

Other | 2000 IEEE Nuclear Science Symposium Conference Record |
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Country | France |

City | Lyon |

Period | 10/15/00 → 10/20/00 |

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### ASJC Scopus subject areas

- Computer Vision and Pattern Recognition
- Industrial and Manufacturing Engineering

### Cite this

*IEEE Nuclear Science Symposium and Medical Imaging Conference*(Vol. 2)