State-estimation approach to the nonstationary optical tomography problem

被引:54
作者
Kolehmainen, V
Prince, S
Arridge, SR
Kaipio, JP
机构
[1] UCL, Dept Comp Sci, London WC1E 6BT, England
[2] Univ Kuopio, Dept Appl Phys, FIN-70211 Kuopio, Finland
[3] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 113576, Singapore
关键词
D O I
10.1364/JOSAA.20.000876
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We propose a new numerical approach to the nonstationary optical (diffusion) tomography (OT) problem. The assumption in the method is that the absorption and/or diffusion coefficients are nonstationary in the sense that they may exhibit significant changes during the time that is needed to measure data for one traditional image frame., In the-proposed method, the OT problem is formulated as a state-estimation problem. Within the state-estimation formulation, the absorption and/or diffusion coefficients are considered 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 by using Kalman filtering techniques. The performance of the proposed method is evaluated on the basis of synthetic data. The simulations also illustrate that further improvements to the results in nonstationary applications can be obtained by adjustment of the measurement protocol. (C) 2003 Optical Society of America.
引用
收藏
页码:876 / 889
页数:14
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