Abstract: The possibility of the high-speed curvilinear trajectory reconstruction algorithm to be applied to the real-time optical imaging is demonstrated. The method for the calculation of the photon mean path (PMP) in strongly scattering media was used for the mathematical simulation of the absorptive macroinhomogeneity distribution reconstruction for the cases of the flat slab cylindrical body. The relative shadow representation by the integrals along the PMP corresponds to the projection procedures used in conventional tomography algorithms. The results of the reconstruction are in a good agreement with the given distribution. As opposed to the FEM method, the employed PMP method for tomography reconstruction is shown to enable the computing time to be many times decreased and become close to that for conventional projection algorithms. !7
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