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## Ultrasound-modulated optical tomography

Ultrasound-modulated optical tomography is modeled

by a linear integral equation and an inverse

problem involving a diffusion equation in n

spatial dimensions, n=2, 3. Based on measured

data, the optical absorption coefficient

μ is reconstructed inside of a given domain.

We make a two-step mathematical model. First, we

solve a linear integral equation. Assuming the

energy fluence rate has been recovered from the

previous equation, the absorption coefficient

μ is then reconstructed by solving an inverse

problem. Numerical experiments are presented for

the case n=2. Two methods are used for the

numerical experiments, gradient descent and

levelset. At the end, advantages and disadvantages

of those two methods are mentioned.

Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/448 |

Date | 30 September 2004 |

Creators | Nam, Haewon |

Contributors | Dobson, David C. |

Publisher | Texas A&M University |

Source Sets | Texas A and M University |

Language | en_US |

Detected Language | English |

Type | Book, Thesis, Electronic Dissertation, text |

Format | 633426 bytes, 295854 bytes, electronic, application/pdf, text/plain, born digital |

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