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An image reconstruction algorithm based on the semiparametric model for electrical capacitance tomography

机译:基于半参数模型的电容层析成像图像重建算法

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摘要

Electrical capacitance tomography (ECT) is considered as a promising tomography technology, and exactly reconstructing the original objects is highly desirable in real applications. In this paper, a generalized image reconstruction model that simultaneously considers the inaccurate property in the measured capacitance data and the linearization approximation error is presented. A generalized objective function, which has been developed using a combinational M-estimation and an extended stabilizing item, is proposed. The objective function unifies six estimation methods into a concise formula, where different estimation methods can be easily obtained by selecting different parameters. The homotopy method that integrates the beneficial advantages of the alternant iteration scheme is employed to solve the proposed objective function. Numerical simulations are implemented to evaluate the numerical performances and effectiveness of the proposed algorithm, and the numerical results reveal that the proposed algorithm is efficient and overcomes the numerical instability in the process of ECT image reconstruction. For the reconstructed objects in this paper, a dramatic improvement in accuracy and spatial resolution can be achieved, which indicates that the proposed algorithm is a promising candidate for solving ECT inverse problems.
机译:电容层析成像(ECT)被认为是一种很有前途的层析成像技术,在实际应用中,非常需要精确地重建原始对象。本文提出了一种通用的图像重建模型,该模型同时考虑了所测电容数据的不准确特性和线性化近似误差。提出了使用组合M估计和扩展稳定项开发的广义目标函数。目标函数将六个估计方法统一为一个简洁的公式,通过选择不同的参数可以轻松获得不同的估计方法。融合了交替迭代方案的优点的同伦方法被用来解决所提出的目标函数。通过数值仿真评估了该算法的数值性能和有效性,数值结果表明该算法有效,克服了ECT图像重建过程中的数值不稳定性。对于本文中的重建对象,可以实现精度和空间分辨率的显着提高,这表明所提出的算法是解决ECT反问题的有希望的候选者。

著录项

  • 来源
    《Computers & mathematics with applications》 |2011年第9期|p.2843-2853|共11页
  • 作者单位

    Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Changping District, Beijing 102206, China;

    Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Changping District, Beijing 102206, China;

    College of Economics, Jinan University, Guangzhou 510632, China;

    Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Changping District, Beijing 102206, China;

    Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Changping District, Beijing 102206, China;

    Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, North China Electric Power University, Changping District, Beijing 102206, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    electrical capacitance tomography; image reconstruction; semiparametric model; homotopy method;

    机译:电容层析成像;图像重建;半参数模型;同伦方法;

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