Shape analysis of training data for neural networks in Electrical Impedance Tomography.

Joran Rixen, Benedikt Eliasson, Simon Lyra, Steffen Leonhardt
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Abstract

Electrical Impedance Tomography (EIT) is a cost-effective and fast way to visualize dielectric properties of the human body, through the injection of alternating currents and measurement of the resulting potential on the bodies surface. However, this comes at the cost of low resolution as EIT is a non-linear ill-posed inverse problem. Recently Deep Learning methods have gained the interest in this field, as they provide a way to mimic non-linear functions. Most of the approaches focus on the structure of the Artificial Neural Networks (ANNs), while only glancing over the used training data. However, the structure of the training data is of great importance, as it needs to be simulated. In this work, we analyze the effect of basic shapes to be included as targets in the training data set. We compared inclusions of ellipsoids, cubes and octahedra as training data for ANNs in terms of reconstruction quality. For that, we used the well-established GREIT figures of merit on laboratory tank measurements. We found that ellipsoids resulted in the best reconstruction quality of EIT images. This shows that the choice of simulation data has an impact on the ANN reconstruction quality.Clinical relevance- This work helps to improve time independent EIT reconstruction, which in turn allows for extraction of time independent features of e.g., the lung.

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电阻抗断层摄影中神经网络训练数据的形状分析。
电阻抗断层扫描(EIT)是通过注入交流电并测量人体表面产生的电势来观察人体介电特性的一种经济、快速的方法。然而,由于 EIT 是一个非线性的逆问题,其代价是分辨率较低。最近,深度学习方法在这一领域引起了人们的兴趣,因为它们提供了一种模仿非线性函数的方法。大多数方法都侧重于人工神经网络(ANN)的结构,而对所使用的训练数据只是一瞥而过。然而,训练数据的结构非常重要,因为需要对其进行模拟。在这项工作中,我们分析了将基本形状作为目标纳入训练数据集的效果。我们比较了将椭圆体、立方体和八面体作为训练数据对 ANNs 重建质量的影响。为此,我们使用了在实验室水箱测量中成熟的 GREIT 优越性数据。我们发现,椭圆形的 EIT 图像重建质量最好。临床相关性--这项工作有助于改善与时间无关的 EIT 重建,进而提取与时间无关的肺部等特征。
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