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An efficient and robust reconstruction method for optical tomography with the time-domain radiative transfer equation |
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| Affiliation: | 1. Division of Hematology/Oncology, Beth Israel Deaconess Medical Center, Boston, MA, United States;2. Department of Medicine, Harvard Medical School, Boston, MA, United States;3. Department of Genetics and Complex Diseases, Harvard School of Public Health, Boston, MA, United States;4. Department of Nutrition, Harvard School of Public Health, Boston, MA, United States;1. Postgraduate Program in Genetics and Molecular Biology, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Brazil;2. School of Medicine, UFRGS, Brazil;3. Medical Genetics Service, Complexo Hospitalar Universitário Professor Edgard Santos, Brazil;4. Department of Pediatrics, School of Medicine, Universidade Federal da Bahia (UFBA), Salvador, Brazil;5. Department of Gynecology and Obstetrics, School of Medicine, UFBA, Salvador, Brazil;6. Medical Genetics Service, Hospital de Clínicas de Porto Alegre (HCPA), Porto Alegre, Brazil;7. Gene Therapy Center, HCPA, Porto Alegre, Brazil;8. BRAIN (Basic Research and Advanced Investigations in Neurosciences) Laboratory, HCPA, Porto Alegre, Brazil;9. Department of Genetics, UFRGS, Porto Alegre, Brazil |
| Abstract: | An efficient and robust method based on the complex-variable-differentiation method (CVDM) is proposed to reconstruct the distribution of optical parameters in two-dimensional participating media. An upwind-difference discrete-ordinate formulation of the time-domain radiative transfer equation is well established and used as forward model. The regularization term using generalized Gaussian Markov random field model is added in the objective function to overcome the ill-posed nature of the radiative inverse problem. The multi-start conjugate gradient method was utilized to accelerate the convergence speed of the inverse procedure. To obtain an accurate result and avoid the cumbersome formula of adjoint differentiation model, the CVDM was employed to calculate the gradient of objective function with respect to the optical parameters. All the simulation results show that the CVDM is efficient and robust for the reconstruction of optical parameters. |
| Keywords: | Complex-variable-differentiation method Optical tomography Time-domain equation of radiative transfer Multi-start iterative technique |
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