摘要
针对电容层析成像系统中的"软场"效应和病态问题,将最小二乘法和迭代法相结合,提出了一种最小二乘约束迭代的图像重建算法。给出了算法的数学模型,完成了算法的收敛性分析和证明,算法在图像重建中使迭代步长在保证收敛的情况下达到最优。仿真和实验结果表明,该方法与最小二乘法相比,具有更稳定、成像效果好等特点,为ECT图像重建提供了一种新的有效方法。
To solve the soft-field nature and the ill-posed problem in electrical capacitance tomography technology,on the basis of combining the least squares method and iterative algorithm,this paper presented a least squares image reconstruction algorithm restricted by iterative method for electrical capacitance tomography.Presented a mathematic model for the algorithm and proved its convergence characteristic,this image reconstruction algorithm made the iteration step was optimal on the premise of convergence.Experiment results and simulation data indicate that the algorithm is more stable and the precision of image is higher compared with least squares method,and presents a feasible and effective way to the research of image reconstruction algorithms for electrical capacitance tomography system.
出处
《计算机应用研究》
CSCD
北大核心
2010年第4期1588-1590,1593,共4页
Application Research of Computers
基金
国家自然科学基金资助项目(60572153
60972127)
高等学校博士学科点专项科研基金资助项目(200802140001)
黑龙江省自然科学基金资助项目(F200609)
国家教育部"春晖计划"资助项目(Z2007-1-15013)
关键词
电容层析成像
最小二乘法
图像重建
逆问题
迭代法
electrical capacitance tomography（ECT）
least squares method
image reconstruction
inverse problems
iterative method
