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三项共轭梯度的电容层析成像图像重建算法
引用本文:陈宇,孙帆,张健.三项共轭梯度的电容层析成像图像重建算法[J].哈尔滨理工大学学报,2009,14(6):42-46.
作者姓名:陈宇  孙帆  张健
作者单位:东北林业大学,信息与计算机工程学院,黑龙江,哈尔滨,150040
基金项目:国家自然科学基金,高等学校博士学科点专项科研基金,黑龙江省自然科学基金,东北林业大学校基金,东北林业大学大学生创新基金 
摘    要:针对电容层析成像技术中的"软场"效应和病态问题,提出了一种三项共轭梯度的新电容层析成像算法.在分析电容层析成像基本原理的基础上,给出了三项共轭梯度法的迭代公式和计算步骤,并探讨了ECT应用该算法的可行性,算法满足收敛条件且重建图像误差小.仿真和实验结果表明,同LBP和普通共轭梯度算法相比,该算法兼备成像质量高、边界均匀稳定等优点.

关 键 词:电容层析成像  图像重建  迭代算法  共轭梯度

A Novel Three Conjugate Gradient Image Reconstruction Algorithm for Electrical Capacitance Tomography System
CHEN Yu,SUN Fan,ZHANG Jian.A Novel Three Conjugate Gradient Image Reconstruction Algorithm for Electrical Capacitance Tomography System[J].Journal of Harbin University of Science and Technology,2009,14(6):42-46.
Authors:CHEN Yu  SUN Fan  ZHANG Jian
Affiliation:(College of Information and Computer Engineering, Northeast Forestry University, Harbin 150040, China)
Abstract:To solve the 'soft-field' nature and the ill-posed (ECT) technology, a novel three Conjugate Gradient algorithm for problem in electrical capacitance tomography electrical capacitance tomography is presented. The analysis of the basic principles of electrical capacitance tomography is made, based on the given three conju- gate gradient method and calculation formula of the iteration steps of the ECT and to explore the feasibility of appli- cation of the algorithm, the algorithm to meet the convergence conditions and the reconstruction image error. Experimental results and simulation data indicate that the algorithm can provide high quality images and favorable stabili- zation compared with LBP, conjugate gradient algorithms in simple flow pattern and this new algorithm presents a feasible and effective way to research image reconstruction algorithm for Electrical Capacitance Tomography System.
Keywords:electrical capacitance tomography  image reconstruction  iterative algorithm  conjugate gradient
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