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ECT图像重建正则化参数选取新方法 被引量：2

New parameter selecting method of regularization for ECT image reconstruction
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摘要 电容层析成像图像重建是一不适定反问题。此种情况下,仅使用最小二乘法不能保证获得满意的介质分布图像重建结果,因此广泛使用TIkhonov正则化算法来产生适当的解。正则化参数的合适选取对图像重建至关重要,其对重建质量和计算时间都有影响。本文提出了一种基于最平坦斜率的Tikhonov正则化参数选择方法,并针对2种典型介质分布,将基于此方法计算的正则化参数同L-曲线法在电容测量数据无噪声和施加噪声情况下的图像重建结果进行了比较。 Image reconstruction for electrical capacitance tomography is very often ill posed. In such cases, using only simple least-squares method can not ensure a successful image reconstruction of media distribution. Therefore, Tikhonov regularization is widely employed to produce proper solutions. Correctly selecting regularization parameters is crucial for image reconstruction, which affects both quality and computing cost of the reconstruction. In this paper, a new parameter selecting method of Tikhonov regularization based on the flattest slope method is presented. The regularization parameters for two typical media distributions were calculated using both the proposed flattest slope method and the L-curve approach. The image reconstruction results for noiseless capacitance measurement data and for the data with noise added are given for comparison.
作者 杨钢 王玉涛 邵富群 王师 陆增喜
机构地区 东北大学信息学院
出处 《仪器仪表学报》 EI CAS CSCD 北大核心 2006年第11期1478-1482,共5页 Chinese Journal of Scientific Instrument
基金 国家自然科学基金(60374052)资助项目。
关键词 电容层析成像 图像重建 不适定反问题 TIKHONOV正则化 L-曲线 electrical capacitance tomography image reconstruction ill-posed inverse problem Tikhonov regularization L-curve
分类号 TP317.4 [自动化与计算机技术—计算机软件与理论]
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参考文献10

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同被引文献19

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  • 10JIANG Hua-bei, LI Chang-qing. Ultrasound-guided microwave imaging of breast cancer: tissue phantom and pilot clinical experiments [J].Medical Physics, 2005, 32(8):2528-2535.

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仪器仪表学报
2006年 第11期

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