Automatic differentiation of iterative processes
ICCAM'92 Proceedings of the fifth international conference on Computational and applied mathematics
Recipes for adjoint code construction
ACM Transactions on Mathematical Software (TOMS)
A simple automatic derivative evaluation program
Communications of the ACM
Adjoint equations and analysis of complex systems: Application to virus infection modelling
Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
Radiative transfer in a two-dimensional rectangular annulus medium
Mathematical and Computer Modelling: An International Journal
Light transport in biological tissue based on the simplified spherical harmonics equations
Journal of Computational Physics
Spatial Weighed Element Based FEM Incorporating a Priori Information on Bioluminescence Tomography
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Application of the RBF meshless method to the solution of the radiative transport equation
Journal of Computational Physics
A multi-phase level set framework for source reconstruction in bioluminescence tomography
Journal of Computational Physics
Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model
Journal of Computational Physics
Hi-index | 31.47 |
We present the first tomographic reconstruction algorithm for optical molecular imaging that is based on the equation of radiative transfer. The reconstruction code recovers the spatial distribution of fluorescent sources in highly scattering biological tissue. An objective function, which describes the discrepancy of measured near-infrared light with predicted numerical data on the tissue surface, is iteratively minimized to find a solution of the inverse source problem. At each iteration step the predicted data are calculated by a forward model for light propagation based on the equation of radiative transfer. The unknown source distribution is updated along a search direction that is provided by an adjoint differentiation technique.