Name
Abstract | ||
|---|---|---|
We show results for full three-dimensional nonlinear inversion of the parameters of a diffusive partial differential equation, specifically for an optical tomography application. We compute functional derivatives of the parameters with respect to the mean-squared error using the adjoint field method, and implement two forms of regularization. In the first, a penalty term is introduced into the error functional, and in the second, the solution to the inverse problem is assumed to belong to a parametrized class of functions. In the case where this assumption is correct, our results demonstrate that the parameters can recovered with high accuracy, yielding a better inversion result than the traditional Tikhonov-type approach. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1109/ISBI.2002.1029191 | ISBI |
Keywords | Field | DocType |
biomedical optical imaging,errors,inverse problems,medical image processing,optical tomography,partial differential equations,adjoint field method,diffusive partial differential equation parameters,error functional,full three-dimensional nonlinear inversion,mean-squared error,medical imaging systems,parametrized class of functions,regularization,traditional Tikhonov-type approach | Diffuse optical imaging,Parametrization,Mathematical analysis,Mean squared error,Regularization (mathematics),Inverse problem,Optical tomography,Partial differential equation,Mathematics,Optical computing | Conference |
ISBN | Citations | PageRank |
0-7803-7584-X | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gregory Boverman | 1 | 24 | 6.76 |
| Eric Miller | 2 | 564 | 80.84 |
| David A. Boas | 3 | 663 | 72.57 |