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Quantification improvement in EIT reconstruction algorithms by incorporating a priori geometrical information

机译:通过合并先验几何信息改进EIT重建算法的量化

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In this paper we develop a method that introduces a priori geometrical information about a conductivity distribution in EIT reconstruction algorithms in order to improve their quantification ability. We propose correction expressions for two reconstruction algorithms: backprojection algorithm and exponential algorithm. There is no theoretical evidence of the uniqueness of the solution to the inverse boundary problem which EIT deals with. We focused our attention to the problem of a circular centred uniform perturbation in a uniform background. It is easily seen that for cosine profiles there are different combinations of conductivity change and perturbation radius that yield the same voltage change. A similar result is obtained for adjacent injection profiles. This supports the fact that the kind of correction we propose is necessary not only as a consequence of the behaviour of the reconstruction algorithm but also because of the nature of the problem.
机译:在本文中,我们开发了一种在EIT重建算法中引入有关电导率分布的先验几何信息的方法,以提高其量化能力。我们提出了两种重建算法的校正表达式:反投影算法和指数算法。没有理论证据可以证明EIT处理的逆边界问题的解具有唯一性。我们将注意力集中在均匀背景下的圆心均匀扰动的问题上。很容易看出,对于余弦曲线,电导率变化和摄动半径的不同组合会产生相同的电压变化。对于相邻的注射轮廓,获得了相似的结果。这支持了这样一个事实,即我们提出的校正类型不仅是重构算法的行为所必需的,而且还因为问题的性质所必需。

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