三项共轭梯度的电容层析成像图像重建算法

A Novel Three Conjugate Gradient Image Reconstruction Algorithm for Electrical Capacitance Tomography System

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.

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.