A state estimation approach to the non stationary optical tomography problem
نویسندگان
چکیده
In this paper we propose a new numerical approach to the non stationary optical di usion tomography OT problem The assumption in the method is that the absorption and or di usion coe cients are non stationary in the sense that they may exhibit signi cant changes during the time that is needed to measure data for one traditional image frame In the proposed method OT problem is formulated as a state estimation problem Within the state estimation formulation the absorption and or di usion coe cients are considered as a stochastic process The objective is to estimate a sequence of states for the process when the state evolution model for the process the observation model for OT experiments and data on the exterior boundary are given In the proposed method the state estimates are computed using Kalman ltering techniques The performance of the proposed method is evaluated based on synthetic data
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