| 基于L曲线法的电容层析成像正则化参数优化 |
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| 引用本文： | 王化祥,何永勃,朱学明.基于L曲线法的电容层析成像正则化参数优化[J].天津大学学报(自然科学与工程技术版),2006,39(3):306-309. |
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| 作者姓名： | 王化祥 何永勃 朱学明 |
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| 作者单位： | [1]天津大学电气与自动化工程学院,天津300072 [2]中国民用航空学院机电工程学院,天津300300 |
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| 基金项目： | 中国科学院资助项目;国家科技攻关项目 |
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| 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争件数．以Tjkhonov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．
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| 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 |
| 文章编号： | 0493-2137（2006）03-0306-04 |
| 收稿时间： | 2005-03-28 |
| 修稿时间： | 2005-03-282005-10-08 |
Regularization Parameter Optimum of Electrical Capacitance Tomography Based on L-Curve Method |
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| WANG Hua-xiang,HE Yong-bo,ZHU Xue-ming.Regularization Parameter Optimum of Electrical Capacitance Tomography Based on L-Curve Method[J].Journal of Tianjin University(Science and Technology),2006,39(3):306-309. |
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| Authors: | WANG Hua-xiang HE Yong-bo ZHU Xue-ming |
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| Institution: | 1. School of Electrical and Automation Engineering, Tianjin University, Tianjin 300072, China; 2. College of Aeronautical Mechanics and Avionics Engineering, Civil Aviation University of China, Tianjin 300300, China |
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| Abstract: | 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. |
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| Keywords: | electrical capacitance tomography ill-posedness regularization L-curve method sensitivity matrix |
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