### Abstract

We investigate fast iterative image reconstruction methods for fully 3D multispectral optical bioluminescence tomography where inhomogeneous optical properties are modeled using the finite element mediod (FEM). We compare two approaches to incorporating the forward model into the solution of the inverse problem. In the direct calculation approach we compute the full forward model by repeated solution of the FEM problem, once for each potential source location. In the on-thefly approach, we do not explicitly solve for the full forward model. Instead, the solution to the forward problem is included implicitly in the formulation of the inverse problem, and the FEM is solved once at each iteration for the current image estimate. In both approaches we use reordered Cholesky factorization and substitution (CFS) to solve the FEM problem. We compare the computation cost of these two approaches, concluding that the on-the-fly approach can lead to substantial reductions in cost when combined with a rapidly converging iterative algorithm.

Original language | English (US) |
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Title of host publication | 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings |

Pages | 229-232 |

Number of pages | 4 |

DOIs | |

State | Published - 2007 |

Externally published | Yes |

Event | 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 - Arlington, VA, United States Duration: Apr 12 2007 → Apr 15 2007 |

### Other

Other | 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 |
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Country | United States |

City | Arlington, VA |

Period | 4/12/07 → 4/15/07 |

### Fingerprint

### Keywords

- Cholesky factorization
- Fast image reconstruction
- Finite element methods
- Multispectra1imaging
- Optical bioluminescence tomography

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Medicine(all)

### Cite this

*2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings*(pp. 229-232). [4193264] https://doi.org/10.1109/ISBI.2007.356830

**Fast image reconstruction methods for fully 3D multispectral optical bioluminescence tomography.** / Ahn, Sangtae; Chaudhari, Abhijit; Darvas, Felix; Bouman, Charles A.; Leahy, Richard M.

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

*2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings.*, 4193264, pp. 229-232, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07, Arlington, VA, United States, 4/12/07. https://doi.org/10.1109/ISBI.2007.356830

}

TY - GEN

T1 - Fast image reconstruction methods for fully 3D multispectral optical bioluminescence tomography

AU - Ahn, Sangtae

AU - Chaudhari, Abhijit

AU - Darvas, Felix

AU - Bouman, Charles A.

AU - Leahy, Richard M.

PY - 2007

Y1 - 2007

N2 - We investigate fast iterative image reconstruction methods for fully 3D multispectral optical bioluminescence tomography where inhomogeneous optical properties are modeled using the finite element mediod (FEM). We compare two approaches to incorporating the forward model into the solution of the inverse problem. In the direct calculation approach we compute the full forward model by repeated solution of the FEM problem, once for each potential source location. In the on-thefly approach, we do not explicitly solve for the full forward model. Instead, the solution to the forward problem is included implicitly in the formulation of the inverse problem, and the FEM is solved once at each iteration for the current image estimate. In both approaches we use reordered Cholesky factorization and substitution (CFS) to solve the FEM problem. We compare the computation cost of these two approaches, concluding that the on-the-fly approach can lead to substantial reductions in cost when combined with a rapidly converging iterative algorithm.

AB - We investigate fast iterative image reconstruction methods for fully 3D multispectral optical bioluminescence tomography where inhomogeneous optical properties are modeled using the finite element mediod (FEM). We compare two approaches to incorporating the forward model into the solution of the inverse problem. In the direct calculation approach we compute the full forward model by repeated solution of the FEM problem, once for each potential source location. In the on-thefly approach, we do not explicitly solve for the full forward model. Instead, the solution to the forward problem is included implicitly in the formulation of the inverse problem, and the FEM is solved once at each iteration for the current image estimate. In both approaches we use reordered Cholesky factorization and substitution (CFS) to solve the FEM problem. We compare the computation cost of these two approaches, concluding that the on-the-fly approach can lead to substantial reductions in cost when combined with a rapidly converging iterative algorithm.

KW - Cholesky factorization

KW - Fast image reconstruction

KW - Finite element methods

KW - Multispectra1imaging

KW - Optical bioluminescence tomography

UR - http://www.scopus.com/inward/record.url?scp=36348974587&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36348974587&partnerID=8YFLogxK

U2 - 10.1109/ISBI.2007.356830

DO - 10.1109/ISBI.2007.356830

M3 - Conference contribution

AN - SCOPUS:36348974587

SN - 1424406722

SN - 9781424406722

SP - 229

EP - 232

BT - 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings

ER -