电阻层析成像系统敏感场特性分析及图像重建  

Analyze of Sensitivity Field Characteristics and Image Reconstruction for Electrical Resistance Tomography System

作　　者：张彦俊[1] 陈宇[1] 陈德运[1] 于晓洋[1] 

机构地区：[1]哈尔滨理工大学计算机科学与技术学院,哈尔滨150080

出　　处：《计算机科学》2010年第8期257-261,共5页Computer Science

基　　金：国家自然科学基金(60572153;60972127);高等学校博士学科点专项科研基金(200802140001);教育部春晖计划(Z2007-1-15013);黑龙江省专利技术专项基金(2060499-12);黑龙江省教育厅计划项目(11541040)资助

摘　　要：电阻层析成像系统敏感场受多相流介质分布的影响,敏感场分布数据作为图像重建所需的先验数据必须通过理论计算的方法得到。为了提高重建图像质量,对敏感场分布进行分析是非常必要的。在分析电阻层析成像的基本原理的基础上,采用有限元的方法建立了敏感场的数学模型,通过对敏感场场域的分析,研究了影响敏感场分布的因素及规律,完成了敏感场分布计算及可视化仿真。依据敏感场的计算结果,提出了一种基于多项式加速的ERT图像重建算法,给出了算法的数学模型,并利用谱分析对该算法的收敛性进行了证明。仿真实验结果表明,敏感场有限元模型是正确的,图像重建算法兼备成像质量高及收敛速度快等优点,为ERT图像重建算法的研究提供了一个新方法。In electrical resistance tomography system （ERT）, the sensitivity-field is influenced by the distribution of multiphase flows. As a prior knowledge of image reconstruction, sensitivity-field distribution data must be computed on theory. To improve the quality of reconstruction image, it is necessary to analyze the sensitivity-field distribution. In this paper,based on the basic principle of electrical resistance tomography, finite element method was adopted to build a mathematical model of sensitivity-field. Based on the analysis of sensitivity-field, the factors and rules that affect sensi- tivity-field distribution were studied, and the computation of distribution and visual simulation were finished. According to the computation of sensitivity-field distribution, an image reconstruction algorithm accelerated by polynomial for elec- trical resistance tomography and corresponding mathematical model were brought forward, and the convergence feature of the algorithm was proved using spectrum analysis. The result of simulation and experiment shows that the finite ele- ment module of sensitivity-field is effective. The image reconstruction algorithm has the advantages such as high quality and fast convergence speed, which brings forward a new method to the research of ERT image reconstruction.

关 键 词：电阻层析成像 有限元 敏感场 图像重建算法 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]