A novel image reconstruction algorithm based on Nonlinear Least-Squares for electrical capacitance tomography system

被引：0
作者：
Chen Y. [1 ,2 ]
Chen D. [1 ]
Wang L. [1 ]
Yu X. [1 ]
机构：
[1] School of Computer Science and Technology, Harbin University of Science and Technology
[2] College of Information and Computer Engineering of Northeast Forestry University
来源：
Gaojishu Tongxin/Chinese High Technology Letters | 2010年 / 20卷 / 02期
关键词：
Electrical capacitance tomography (ECT); Image reconstruction; Iterative algorithm; Nonlinear Least-Squares;
D O I：
10.3772/j.issn.1002-0470.2010.02.010
中图分类号：
学科分类号：
摘要：
To solve the 'soft-field' nature and the ill-posed problem in the electrical capacitance tomography (ECT) technology, a novel Nonlinear Least-Squares algorithm for electrical capacitance tomography is presented. Based on the analysis of the residual polynomial mechanism of nonlinear least-squares problems, the correcting formula of the secant approximation algorithm in second-order information items of objective functions is given, and the convergence of the NL2OL algorithm is proved by the continuous properties of Lipschitz space. The feasibility of using this algorithm for ECT problems is also discussed. The algorithm meets the convergence condition and its error of image reconstruction is small. The experimental results and simulation data indicate that the algorithm can provide high quality images and favorable stabilization compared with the algorithms of LBP, Landweber and conjugate gradient in the simple flow pattern, and this new algorithm presents a feasible and effective way to research on image reconstruction algorithms for electrical capacitance tomography systems.
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页码：163 / 167
页数：4
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