利用电阻抗断层成像估计感兴趣区域的电导率变化
Estimation of conductivity changes in a region of interest with electrical impedance tomography
摘要:
本文提出了一种新的方法来重建电阻抗断层扫描测量的目标电导率的变化。如在常规差分成像中,电导率变化的重建基于在变化之前和之后来自目标的外部边界的电势测量。然而,在本文中,图像的电导率变化之前和之后,同时重建的基础上的两个数据集。该方法的主要特点是,改变后的电导率被参数化为初始状态和变化的线性组合。这允许通过单独的正则化泛函独立地建模背景电导率的空间特性和电导率的变化。该方法还允许以直接的方式将电导率变化限制在域内的局部感兴趣区域。传统的差分成像重建是基于观测模型的全局线性化,而所提出的方法相当于求解一个非线性逆问题。所提出的重建方法的可行性进行了实验测试,并与模拟,这表明了一个潜在的新的医疗应用电阻抗断层成像:在语音加载研究声带成像。
英文摘要:
This paper proposes a novel approach to reconstruct changes in a target conductivity from electrical impedance tomography measurements. As in the conventional difference imaging, the reconstruction of the conductivity change is based on electrical potential measurements from the exterior boundary of the target before and after the change. In this paper, however, images of the conductivity before and after the change are reconstructed simultaneously based on the two data sets. The key feature of the approach is that the conductivity after the change is parameterized as a linear combination of the initial state and the change. This allows for modeling independently the spatial characteristics of the background conductivity and the change of the conductivity - by separate regularization functionals. The approach also allows in a straightforward way the restriction of the conductivity change to a localized region of interest inside the domain. While conventional difference imaging reconstruction is based on a global linearization of the observation model, the proposed approach amounts to solving a non-linear inverse problem. The feasibility of the proposed reconstruction method is tested experimentally and with a simulation which demonstrates a potential new medical application of electrical impedance tomography: imaging of vocal folds in voice loading studies.
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