摘要
A novel fast algorithm for electrical capacitance tomography (ECT) was presented.The minimum norm solution was improved according to the nature of the inverse problems of ECT, and the stability of the numerical solution for the improvement was proved via the singular value decomposition principle.Some equations for further improvement of the reconstructed image were deduced by numerical optimization.Numerical experiments indicated that the improvement was efficient and the time of image reconstruction was similar to that of linear back-projection (LBP), however, the quality of the reconstructed image is better than other image reconstruction algorithms such as LBP, Tikhonov and Landweber algorithm.
A novel fast algorithm for electrical capacitance tomography （ECT） was presented. The minimum norm solution was improved according to the nature of the inverse problems of ECT, and the stability of the numerical solution for the improvement was proved via the singular value decomposition principle. Some equations for further improvement of the reconstructed image were deduced by numerical optimization. Numerical experiments indicated that the improvement was efficient and the time of image reconstruction was similar to that of linear back-projection （LBP）, however, the quality of the reconstructed image is better than other image reconstruction algorithms such as LBP, Tikhonov and Landweber algorithm.
出处
《化工学报》
EI
CAS
CSCD
北大核心
2007年第6期1421-1425,共5页
CIESC Journal
基金
国家自然科学重点基金项目(60532020)
国家自然科学基金项目(60672151)。~~
关键词
电容层析成像
极小范数解
逆问题
图像重建
electrical capacitance tomography
minimum norm solution
inverse problems
image reconstruction
