摘要
电容层析成像(ECT)系统的不适定性问题严重影响重建图像质量,为此必须减小灵敏度矩阵的条件数.以Tikhonov正则化和后验策略为基础,从灵敏度矩阵广义逆的角度阐述了L曲线法并设置滤波函数,建立极小化泛函及L曲线图,最终确定正则参数.仿真实验表明,L曲线法具有较强的抗噪声性能和较快的收敛速度,明显改善了ECT系统的重构图像质量.
The reconstructed image quality of electrical capacitance tomography (ECT) system is heavily affected by the ill-posedness problem, so the condition number of the sensitivity matrix must be decreased. Based on Tikhonov regularization and the posterior strategy, the L-curve method is proposed in terms of the generalized inverse of the sensitivity matrix. The theoretical basis of the method is expounded and the filter function is established; a minimizing functional and L-curve are obtained. Finally, the regularization parameter is determined. Simulation experiments show that L-curve method has better noise immunity and fast convergence rate, and the reconstructed image quality of ECT system is improved markedly.
出处
《天津大学学报》
EI
CAS
CSCD
北大核心
2006年第3期306-309,共4页
Journal of Tianjin University(Science and Technology)
基金
国家自然科学基金资助项目(60532020
60301008
50337020
60472077)国家高技术研究发展计划专项经费资助项目(20001AA413210).
关键词
电容层析成像
不适定性
正则化
L曲线法
灵敏度矩阵
electrical capacitance tomography
ill-posedness
regularization
L-curve method
sensitivity matrix