Complex-valued, multifrequency electrical capacitance tomography (CVMF-ECT) is a recently developed tomographic concept which is capable of simultaneously reconstructing spectral permittivity and conductivity properties of target objects within the region of interest. To date, this concept has been limited to simulation and another key issue restricting its wide adoption lies in its poor image quality. This letter reports a CVMF-ECT system to verify its practical feasibility and further proposes a novel image reconstruction framework to effectively and efficiently reconstruct multifrequency images using complex-valued capacitance data. The image reconstruction framework utilizes the inherent spatial correlations of the multifrequency images as a priori information and encodes it by using multiple measurement vector (MMV) model. Alternating direction method of multipliers was introduced to solve the MMV problem. Real-world experiments validate the feasibility of CVMF-ECT, and MMV-based CVMF-ECT method demonstrates superior performance compared with conventional ECT approaches.

中文翻译：

---

基于多测量向量的复值多频ECT

复值多频电容断层扫描 (CVMF-ECT) 是最近开发的断层扫描概念，它能够同时重建感兴趣区域内目标对象的光谱介电常数和电导率特性。迄今为止，这个概念仅限于模拟，限制其广泛采用的另一个关键问题在于其较差的图像质量。这封信报告了一个 CVMF-ECT 系统以验证其实际可行性，并进一步提出了一种新颖的图像重建框架，以使用复值电容数据有效地重建多频图像。图像重建框架利用多频图像的固有空间相关性作为先验信息，并使用多测量向量（MMV）模型对其进行编码。引入乘法器交替方向法解决MMV问题。真实世界的实验验证了 CVMF-ECT 的可行性，基于 MMV 的 CVMF-ECT 方法与传统的 ECT 方法相比表现出优越的性能。