PDE-based numerical method for a limited angle x-ray tomography
作者： Micheal V Klibanov , Loc H Nguyen
关键词: Mathematics 、 Limited angle 、 X-ray 、 Radon 、 Tomography 、 Radon transform 、 Inversion (discrete mathematics) 、 Applied mathematics 、 Convergence (routing) 、 Numerical analysis
摘要: A new numerical method for X-ray tomography a specific case of incomplete Radon data is proposed. Potential applications are in checking out bulky luggage airports. This based on the analysis transport PDE governing rather than conventional integral formulation. The quasi-reversibility applied. Convergence performed using Carleman estimate. Numerical results presented and compared with inversion transform well-known filtered back projection algorithm. In addition, it shown how to use our study attenuated same data.
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