一种电容层析成像图像重建优化算法

doi:10.3969/j.issn.1000-1158.2021.09.06

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摘要提出一种电学层析成像(ECT)图像重建优化算法。通过将传统正则化算法转化为最小二乘问题进行求解,结合lp范数逼近正则化最小化问题,利用重新加权的方法进行迭代计算。以油-气两相流模型进行仿真及静态实验,将所提出的优化算法与常用的LBP、Landweber迭代及Tikhonov正则化算法进行对比。结果表明,与常用算法相比,采用该优化算法对管道中心物体及多物体分布流型进行图像重建,其图像相对误差均为最低,且重建图像的形状保真度明显提高。

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	张立峰
	张明

关键词 ：计量学;电容层析成像, 油-气两相流;图像重建;优化算法;正则化

Abstract：An image reconstruction algorithm based on optimization algorithm for electrical capacitance tomography (ECT) is proposed. In order to approximate the regularization minimization problem, the traditional regularization algorithm is transformed into the least squares problem by the lp-norm, and the iterative calculation is performed by the re-weighting method. Simulation experiment and static experiment is carried out for oil-gas two-phase flow model. The presented optimization reconstruction algorithm is compared with the commonly used LBP, Landweber iteration and Tikhonov regularization algorithm. The results show that lower image relative error and obviously improved shape fidelity of the reconstructed images can be obtained using the presented algorithm for the flow patterns which contain the object in the center of the pipe or many objects in the pipe.

Key words： metrology electrical capacitance tomography oil-gas two-phase flow image reconstruction optimization algorithm regularization

收稿日期: 2019-09-27 发布日期: 2021-09-24

PACS:

TB937

基金资助:国家自然科学基金(61973115);中央高校基本科研业务费资助(2017MS131)

作者简介: 张立峰(1979-),男,江西临川人,华北电力大学副教授,博士,主要从事多相流检测及电学层析成像技术方面的工作。Email: lifeng.zhang@ncepu.edu.cn

引用本文:

张立峰,张明. 一种电容层析成像图像重建优化算法[J]. 计量学报, 2021, 42(9): 1155-1159.
ZHANG Li-feng,ZHANG Ming. An Optimized Algorithm for Image Reconstruction of Electrical Capacitance Tomography. Acta Metrologica Sinica, 2021, 42(9): 1155-1159.

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http://jlxb.china-csm.org:81/Jwk_jlxb/CN/10.3969/j.issn.1000-1158.2021.09.06 或 http://jlxb.china-csm.org:81/Jwk_jlxb/CN/Y2021/V42/I9/1155

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