电容层析成像图像重建中的迭代算法  

Iterative methods in ECT image reconstruction

作　　者：杨钢[1] 王玉涛[1] 邵富群[1] 王师[1] 

机构地区：[1]东北大学流程工业综合自动化教育部重点实验室,沈阳110004

出　　处：《仪器仪表学报》2006年第12期1591-1594,共4页Chinese Journal of Scientific Instrument

基　　金：辽宁省自然科学基金(20062021)资助项目

摘　　要：电容层析成像技术中图像重建算法的准确与快速是其在工业实际中得以应用的关键。Landweber方法是一种简单、灵活的迭代算法,具有很好的正则化特性,它的投影变体能够提供非负的图像重建。Landweber算法实际应用的困难是其收敛速度太低。本文采用预处理方法来加快Landweber迭代方法的收敛速度,即通过较少的迭代次数,获得适当的重建结果。仿真实验表明,同经典的快速算法共轭梯度迭代方法相比,预处理Landweber迭代方法具有更好的重建图像质量。The speediness and accuracy of image reconstruction algorithm in electrical capacitance tomography are the keys to its application in industries. Landweber method is a simple and flexible iterative algorithm and has very good regularizing features. Its projection variant provides nonnegative image reconstructions. The difficulty of Landweber method in practical applications is it converges too slowly. To overcome this difficulty, a preconditioning method is adopted to accelerate its convergence speed. That is, reasonable reconstruction result is obtained with less numbers of iterations. The proposed method features more competitive and robust than conjugate gradient iteration method that is fast but sometimes leads to lower accuracy.

关 键 词：电容层析成像 图像重建 Landweber 预处理 共轭梯度 

分 类 号：TP216[自动化与计算机技术—检测技术与自动化装置]