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Iterative image reconstruction algorithm based on Bayesian theorem for electrical capacitance tomography
Jiang Peng ; Peng Li-hui ; Lu Geng ; Xiao De-yun
2010-05-06 ; 2010-05-06
关键词Practical Theoretical or Mathematical/ Bayes methods Gaussian distribution image reconstruction iterative methods matrix algebra/ iterative image reconstruction algorithm Bayesian theorem electrical capacitance tomography statistical information permittivity distribution gain matrix Gaussian distribution/ B6135 Optical, image and video signal processing B0290F Interpolation and function approximation (numerical analysis) B0240Z Other topics in statistics C5260B Computer vision and image processing techniques C4130 Interpolation and function approximation (numerical analysis) C1140Z Other topics in statistics
中文摘要This paper proposes an iterative image reconstruction algorithm based on Bayesian theorem for electrical-capacitance tomography (ECT). In order to solve the inverse problem of ECT, statistical information, including the prior probability of the permittivity distribution and the noise information in the measurement data, is taken into account, which is different to the existing ECT image reconstruction algorithms. Simulations with regard to five typical permittivity distributions are investigated. The numerical results show the feasibility and efficiency of this iterative algorithm. The effects of iteration steps and the variance with the prior probability on the quality of image reconstruction are investigated. Since the gain matrix is independent on the input during the iteration, it is suggested that the gain matrix be calculated offline in advance to accelerate the iteration procedure and improve the speed of the algorithm.
语种中文 ; 中文
出版者Chinese Society for Electrical Engineering ; China
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/8898]  
专题清华大学
推荐引用方式
GB/T 7714
Jiang Peng,Peng Li-hui,Lu Geng,et al. Iterative image reconstruction algorithm based on Bayesian theorem for electrical capacitance tomography[J],2010, 2010.
APA Jiang Peng,Peng Li-hui,Lu Geng,&Xiao De-yun.(2010).Iterative image reconstruction algorithm based on Bayesian theorem for electrical capacitance tomography..
MLA Jiang Peng,et al."Iterative image reconstruction algorithm based on Bayesian theorem for electrical capacitance tomography".(2010).
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