A Three Order Hybrid Algorithm for Electrical Capacitance Tomography

LI Cui-huan; YANG Xiao-guang; WANG You-hua

doi:10.3969/j.issn.0372-2112.2012.03.015

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A Three Order Hybrid Algorithm for Electrical Capacitance Tomography

更新时间：2025-07-16

- A Three Order Hybrid Algorithm for Electrical Capacitance Tomography
- Acta Electronica Sinica Vol. 40, Issue 3, Pages: 500-504(2012)
- 作者机构：
  
  1. 河北工业大学电磁场与电器可靠性省部共建重点实验室,天津,300130
  2. 河北工业大学理学院,天津,300130
  3. 河北工业大学电磁场与电器可靠性省部共建重点实验室天津,300130
  4. 河北工业大学理学院天津,300130
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2012.03.015
  CLC： TN911.73
- Published：2012
- 稿件说明：
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LI Cui-huan, YANG Xiao-guang, WANG You-hua. A Three Order Hybrid Algorithm for Electrical Capacitance Tomography[J]. Acta Electronica Sinica, 2012, 40(3): 500-504.
DOI：

LI Cui-huan, YANG Xiao-guang, WANG You-hua. A Three Order Hybrid Algorithm for Electrical Capacitance Tomography[J]. Acta Electronica Sinica, 2012, 40(3): 500-504. DOI： 10.3969/j.issn.0372-2112.2012.03.015.

摘要

针对电容层析成像图像重构Tikhonov正则参数的选取问题

提出利用Morozov偏差原理确定正则参数

使其选取与初始数据的观测误差相匹配

并提出三阶收敛算法与双参数模型相结合的混合算法

使其选取更加快速、合理.数值实验表明:三阶混合算法优于典型的Newton方法;正则参数的选取影响重构图像的精度和速度;对于各种设定流型

本文提出的混合算法重构图像速度更快

重建图像质量更高.

Abstract

To solve the selection problem of Tikhonov regularization parameter in electrical capacitance tomography

A method is proposed to get an optimal regularization parameter using Morozov discrepancy principle

which make the (output) error due to regularization equals the error level in the data.To get an optimal regularization parameter rapidly and reasonably

a hybrid algorithm by combining three-order convergence algorithm and two parameter model is proposed.Numerical experimental results show that regularization parameter selection affects both the reconstruction speed and quality;the proposed hybrid algorithm has high image reconstruction speed and high accuracy for different flow patterns.

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