电容层析成像三维图像重建研究

进行了电容层析成像(ECT)三维图像重建的仿真研究。首先利用COMSOL软件对ECT传感器进行三维建模,基于其高精度的有限元求解,计算ECT的灵敏度矩阵;其次,基于Matlab软件实现了基于线性反投影(LBP)及Landweber迭代算法的ECT图像重建,并利用图像显示程序获得了三维重建图像;最后,对球体及圆柱体模型进行了三维ECT图像重建,获得了较好的重建结果。     

A Multimodal Tomography System Based on ECT Sensors

A new noninvasive system for multimodal electrical tomography based on electrical capacitance tomography (ECT) sensor hardware is proposed. Quasistatic electromagnetic fields are produced by ECT sensors and used for interrogating the sensing domain. The new system is noninvasive and based on capacitance measurements for permittivity and power balance measurements for conductivity (impedance) imaging. A dual sensitivity map of perturbations in permittivity and conductivity is constructed. The measured data along with the sensitivity matrix are used for the actual image reconstruction. The new multimodal tomography system has the advantage of using already established reconstruction techniques, and the potential for combination with new reconstruction techniques by taking advantage of combined conductivity/permittivity data. Moreover, it does not require direct contact between the sensor and the region of interest. The system performance has been tested on representative data, producing good results     

Dual imaging modality of granular flow based on ECT sensors

In this study, a previously developed dual modality imaging system is applied to image the flow of granular matter with different electrical properties in cylindrical vessels. The imaging system is based on both capacitance and power measurements acquired by an electrical capacitance tomography (ECT) sensor located around the vessel. The measurement data are then used to reconstruct cross-sectional images of both permittivity and conductivity distributions. A neural network multi-criterion optimization reconstruction technique (NN-MOIRT) is used for the inverse (reconstruction) problem. The contribution of this technology to the field of granular matters is explored through review of research articles that can be a direct application of this development. We discuss the capabilities of this dual-modality acquisition system using synthetic data for granular matter with different electrical properties.     

方形电容层析成象系统的仿真研究

本利用自行开发的软平台,引入方形管道电容成象系统的模型,用限元法计算了敏感场的分布,并结合多种图象重建算法针对１２电极方形ＥＣＴ系统进行了仿真实验,得到了令人满意的结果。     

Image reconstruction algorithm based on the extended regularised total least squares method for electrical capacitance tomography

Electrical capacitance tomography (ECT) is a non-invasive imaging technology that aims at the visualisation of the cross-sectional permittivity distribution of a dielectric object based on the measured capacitance data. Successful applications of ECT depend greatly on the precision and speed of the image reconstruction algorithms. ECT image reconstruction is a typical ill-posed problem, and its solution is unstable, that is, the solution is sensitive to noises in the input data. Methods that ensure the stability of a solution while enhancing the quality of the reconstructed images should be used to obtain a meaningful reconstruction result. An image reconstruction algorithm based on the regularised total least squares (TLS) method that considers the errors in both the sensitivity field matrix and the capacitance data for ECT is presented. The regularised TLS method is extended using a combination robust estimation technique and an extended stabilising functional according to the ill-posed characteristics of ECT, which transforms the image reconstruction problem into an optimisation problem. In addition, the Newton algorithm is employed to solve the objective functional. Numerical simulations indicate that the algorithm is feasible and overcomes the numerical instability of ECT image reconstruction; for the cases of the reconstructed objects considered here, the spatial resolution of the reconstructed images obtained using the algorithm is enhanced; as a result, an efficient method for ECT image reconstruction is introduced.     

一种电容层析成像系统电极组合激励测量方法

针对电容层析成像图像重建具有非线性不适定性的问题,提出了8组24电极旋转激励测量方案,并与传统12电极电容层析成像传感器进行了对比分析,包括电容值大小及其动态范围、敏感场分布均匀性以及重建图像质量。应用COMSOL软件及Matlab软件对两种传感器激励模式进行仿真,结果表明:所提出的8组电极旋转激励测量模式,其电容独立测量数与传统12电极传感器相近,可较好地保证实时成像速度,测量电容值较大且动态范围较小,降低了信号检测电路设计难度,测量区域灵敏场均匀性有所改善,对中心物体的成像质量明显提高。     

Preliminary evaluation of cryogenic two-phase flow imaging using electrical capacitance tomography

The potential application of the 2-D eight-electrode electrical capacitance tomography (ECT) to the inversion imaging of the liquid nitrogen-vaporous nitrogen (LN₂-VN₂) flow in the tube is theoretically evaluated. The phase distribution of the computational domain is obtained using the simultaneous iterative reconstruction technique with variable iterative step size. The detailed mathematical derivations for the calculations are presented. The calculated phase distribution for the two detached LN₂ column case shows the comparable results with the water-air case, regardless of the much reduced dielectric permittivity of LN₂ compared with water. The inversion images of total eight different LN₂-VN₂ flow patterns are presented and quantitatively evaluated by calculating the relative void fraction error and the correlation coefficient. The results demonstrate that the developed reconstruction technique for ECT has the capacity to reconstruct the phase distribution of the complex LN₂-VN₂ flow, while the accuracy of the inversion images is significantly influenced by the size of the discrete phase. The influence of the measurement noise on the image quality is also considered in the calculations.     

基于梯度投影稀疏重建算法的电容层析成像图像重建

为解决两相流中存在中心物体、物体比较小或存在多个物体且相距较近时电容层析成像(ECT)重建图像精度较差的问题,基于稀疏分布的流型其介电常数分布满足稀疏性的先验条件,采用梯度投影稀疏重建(GPSR-BB)算法进行ECT图像重建。仿真及实验测试结果表明:GPSR-BB算法对于流体中小目标以及复杂流型的图像重建质量较好,重建图像的形状保真度高。     

电容层析成像系统阵列电极三维优化设计

基于COMSOL软件构建了电容层析成像传感器三维有限元模型,并实现其正问题求解,在此基础上,进行了电容层析成像3层分布的阵列电极传感器参数的无量纲优化设计。首先,分析了传感器的屏蔽层半径R3、电极高度h、电极宽度w及电极层间距l对灵敏度均匀性指标P及电容值动态范围D的影响规律;然后,通过设计正交试验,综合分析各结构参数对优化指标的影响;最终,得到一组电容层析成像三维传感器的优化结构参数:R3=1.50,h=0.20,w=0.20,l=0.06。     

基于旋转电极的电容层析成像技术图像融合算法

针对固定电极的电容层析成像技术独立测量值较少,且由于电极位置的影响而导致重建图像失真等问题,提出了一种基于16旋转电极的电容层析成像技术系统模型及对应的图像融合方法。模型对16电极的电容层析成像技术模型进行4次旋转,得出的数据分别采用线性反投影算法和修正共轭梯度法算法进行图像重建,再将重建的5张图像进行小波变换,变换得到的低频和高频成分分别采用加权平均和主分量分析的融合准则进行图像融合。实验结果表明:提出的电容层析成像技术旋转模型通过增加测量电容数,结合图像融合方法可明显提高重构图像质量,降低成像误差。     

两相流电容层析成像系统

本文较系统地介绍了电容层析成像系统结构原理,包括抗杂散电容影响的微小检测技术,并行数据采集与处理单元设计以及基于总变差正则化的图像重建算法.与此同时,结合研制的双截面电容成像系统进行试验研究,结果表明该系统不仅可给出实时流型识别,同时能输出表征的特征参数.     

数字化电容层析成像系统

基于电容敏感原理设计的数字化电容层析成像（ECT）系统，利用有限元法，分析了阵列电极结构对敏感场分布的影响，通过优化设计和仿真试验，改善了敏感场分布的均匀性；构建了以数字信号处理器（DSP）为核心、现场可编程门阵列（眦）协同工作的12电极的数字化ECT系统，提出了由离线预迭代和在线一步成像所构成的新的图像重建算法——预迭代法，其成像速度及精度均明显得到提高。     

两相流电容层析成像系统

本文较系统地介绍了电容层析成像系统结构原理,包括抗杂散电容影响的微小检测技术,并行数据采集与处理单元设计以及基于总变差正则化的图像重建算法.与此同时,结合研制的双截面电容成像系统进行试验研究,结果表明该系统不仅可给出实时流型识别,同时能输出表征的特征参数.     

基于SVM的ECT图像重建算法

电容层析成像（ECT）技术是基于电容敏感机理的过程层析成像技术。ECT的图像重建是一个典型的有限样本非线性映射问题。支持向量机（SVM）作为一种小样本处理方法，具有较强的泛化能力，被认为是目前针对小样本分类问题的最佳理论。提出了一种基于SVM的四层神经网络的图像重建算法，仿真结果表明，该算法用于三相流图像重建具有较强的空间分辨率和泛化能力。     

基于深度信念网络的ECT图像重建算法

为提高图像重建质量,针对电容层析成像技术(ECT)中的电容数据复杂多样且与介电常数呈非线性关系的特点,提出一种基于深度信念网络(DBN)的重建算法,利用DBN的深层非线性网络结构来实现电容值与重建图像灰度值非线性关系。并对DBN进行了改进,将自适应步长(AS)引入到对比散度(CD)算法中,解决固定步长寻找全局最优困难的问题,改善图像质量;在微调阶段采用拟牛顿法加快收敛速度,减少训练时间。在COMSOL5.3软件上进行仿真试验,通过MATLAB2014a对图像进行重建。试验结果表明:DBN能够有效地重建图像,并且要优于传统算法;改进后的DBN训练时间缩短了5.51s,图像误差低至0.0094,相关系数高达0.9973,是研究ECT图像重建的新方法和手段。     

基于改进SR3模型算法的ECT图像重建研究

针对电容层析成像技术应用于气固两相流检测时,图像重建过程中存在的不适定性问题,提出一种稀疏松弛正则化回归模型(SR3)应用于ECT图像重建。采用软阈值迭代法和梯度下降法为SR3模型求解器,向SR3模型中加入L1、L2惩戒项,并设计滤值环节优化解向量。实验结果表明,改进SR3模型算法相比Tikhonov正则化算法、L1正则化算法及原SR3模型算法,重建图像精度明显提高,图像相对误差显著降低,有较好的成像效果。     

电容成像技术及其应用

过程成像技术是近十多年来发展起来的一种新型过程检测技术，可以广泛应用于石油、化工、电力及冶金等行业中的两相流测量。本文结合清华大学自动化系过程成像小组研制的电容成像系统，介绍了电容成像技术的发展和现状，包括电容成像基本原理、微电容测量电路和图像重建算法等。论文给出了现有系统在小型流化床模拟装置上进行测量和连续图像重建的实验结果，并进行了分析。此外，论义对电容成像技术今后的发展作出了展望。     

Interactive volume rendering of real-time three-dimensional ultrasound images

Real-time, three-dimensional (RT3D) ultrasound allows video frame rate volumetric imaging. The ability to acquire full three-dimensional (3-D) image data in real-time is particularly helpful for applications such as cardiac imaging, which require visualization of complex and dynamic 3-D anatomy. Volume rendering provides a method for intuitive graphical display of the 3-D image data, but capturing the RT3D echo data and performing the necessary processing to generate a volumetric image in real time poses a significant technical challenge. We present a data capture and rendering implementation that uses off-the-shelf components to real-time volume render RT3D ultrasound images. Our approach allowed live, interactive volume rendering of RT3D ultrasound scans.     

Helmholtz-Type Regularization Method for Permittivity Reconstruction Using Experimental Phantom Data of Electrical Capacitance Tomography

Electrical capacitance tomography (ECT) attempts to image the permittivity distribution of an object by measuring the electrical capacitance between sets of electrodes placed around its periphery. Image reconstruction in ECT is a nonlinear ill-posed inverse problem, and regularization methods are needed to stabilize this inverse problem. The reconstruction of complex shapes (sharp edges) and absolute permittivity values is a more difficult task in ECT, and the commonly used regularization methods in Tikhonov minimization are unable to solve these problems. In the standard Tikhonov regularization method, the regularization matrix has a Laplacian-type structure, which encourages smoothing reconstruction. A Helmholtz-type regularization scheme has been implemented to solve the inverse problem with complicated-shape objects and the absolute permittivity values. The Helmholtz-type regularization has a wavelike property and encourages variations of permittivity. The results from experimental data demonstrate the advantage of the Helmholtz-type regularization for recovering sharp edges over the popular Laplacian-type regularization in the framework of Tikhonov minimization. Furthermore, this paper presents examples of the reconstructed absolute value permittivity map in ECT using experimental phantom data.      

Application of electrical capacitance tomography to the void fraction measurement of two-phase flow

Based on the electrical capacitance tomography technique, a new method for the void fraction measurement of two-phase flow is proposed. A 12-electrode void fraction measurement system is established. A mathematical model of image reconstruction of electrical capacitance tomography is developed. To obtain the quantitative information of two-phase flow, combining the Tikhonov regularization principle and the algebraic reconstruction technique algorithm, a new image reconstruction algorithm is presented. The experimental results show that the accuracy of void fraction measurement is satisfactory. The proposed method is suitable for the void fraction measurement of many kinds of two-phase flow.