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) |
|---|---|
| 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 |
|---|---|
| Country | United States |
| City | Arlington, VA |
| Period | 4/12/07 → 4/15/07 |
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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
Fast image reconstruction methods for fully 3D multispectral optical bioluminescence tomography. / Ahn, Sangtae; Chaudhari, Abhijit; Darvas, Felix; Bouman, Charles A.; Leahy, Richard M.
2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings. 2007. p. 229-232 4193264.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
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 -