IEEE Trans Med Imaging. 2021 Feb;40(2):481-490. doi: 10.1109/TMI.2020.3030024. Epub 2021 Feb 2.
Shape-driven approaches have been proposed as an effective strategy for the electrical impedance tomography (EIT) reconstruction problem in recent years. In order to augment the shape-driven approaches, we propose a new method that transforms the shape to be reconstructed as basic primitives directly modeled by using Fourier representations. To allow automatic topological changes between the basic primitives and surrounding objects simultaneously, Boolean operations are employed. The Boolean operations with direct representation of primitives can be utilized for dimensionality and ill-posedness reduction, enabling feasible shape and topology optimization with shape-driven approaches. As a proof of principle, we leverage the proposed method for two dimensional shape reconstruction in EIT with various conductivity distributions. We demonstrate that our method is able to improve EIT reconstructions by enabling accurate shape and topology optimization.
近年来，基于形状的方法已被提出作为一种有效的电阻抗断层成像（EIT）重建问题的策略。为了增强基于形状的方法，我们提出了一种新的方法，将待重建的形状直接转换为基本基元，并用傅里叶表示法对其进行建模。为了允许基本基元与周围物体之间的自动拓扑变化，同时采用布尔运算。具有基元直接表示的布尔运算可用于降维和病态性处理，从而实现基于形状的方法的可行形状和拓扑优化。作为原理验证，我们利用所提出的方法对具有各种电导率分布的二维形状进行 EIT 重建。我们证明，我们的方法能够通过实现准确的形状和拓扑优化来改善 EIT 重建。
