### Abstract

The distribution of photons is described by the integrodifferential Boltzmann equation. However, this equation is difficult to solve because of the scatter integral and the size of the problem when discretized. A method is presented that models all orders simultaneously using spherical harmonics to efficiently describe the directional dependence. The method also partitions the problem to take advantage of the fact that a scattering event results in an energy loss. Then, within a parallel computing paradigm, it is assumed that the source and the attenuation map of the medium are known, and an attempt is made to solve for the distribution. This distribution can then be used in any imaging system model to approximate experimental images.

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

Publisher | IEEE |

Pages | 1964-1968 |

Number of pages | 5 |

Volume | 3 |

ISBN (Print) | 0780350227 |

State | Published - 1999 |

Event | Proceedings of the 1998 IEEE Nuclear Science Symposium Conference Record - Toronto, Que, Can Duration: Nov 8 1998 → Nov 14 1998 |

### Other

Other | Proceedings of the 1998 IEEE Nuclear Science Symposium Conference Record |
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City | Toronto, Que, Can |

Period | 11/8/98 → 11/14/98 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Vision and Pattern Recognition
- Industrial and Manufacturing Engineering

### Cite this

*IEEE Nuclear Science Symposium and Medical Imaging Conference*(Vol. 3, pp. 1964-1968). IEEE.

**Modeling all orders of scatter in nuclear medicine.** / Gallas, B.; Barrett, Harrison H.

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

*IEEE Nuclear Science Symposium and Medical Imaging Conference.*vol. 3, IEEE, pp. 1964-1968, Proceedings of the 1998 IEEE Nuclear Science Symposium Conference Record, Toronto, Que, Can, 11/8/98.

}

TY - CHAP

T1 - Modeling all orders of scatter in nuclear medicine

AU - Gallas, B.

AU - Barrett, Harrison H

PY - 1999

Y1 - 1999

N2 - The distribution of photons is described by the integrodifferential Boltzmann equation. However, this equation is difficult to solve because of the scatter integral and the size of the problem when discretized. A method is presented that models all orders simultaneously using spherical harmonics to efficiently describe the directional dependence. The method also partitions the problem to take advantage of the fact that a scattering event results in an energy loss. Then, within a parallel computing paradigm, it is assumed that the source and the attenuation map of the medium are known, and an attempt is made to solve for the distribution. This distribution can then be used in any imaging system model to approximate experimental images.

AB - The distribution of photons is described by the integrodifferential Boltzmann equation. However, this equation is difficult to solve because of the scatter integral and the size of the problem when discretized. A method is presented that models all orders simultaneously using spherical harmonics to efficiently describe the directional dependence. The method also partitions the problem to take advantage of the fact that a scattering event results in an energy loss. Then, within a parallel computing paradigm, it is assumed that the source and the attenuation map of the medium are known, and an attempt is made to solve for the distribution. This distribution can then be used in any imaging system model to approximate experimental images.

UR - http://www.scopus.com/inward/record.url?scp=0032596692&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032596692&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0032596692

SN - 0780350227

VL - 3

SP - 1964

EP - 1968

BT - IEEE Nuclear Science Symposium and Medical Imaging Conference

PB - IEEE

ER -