Abstract The electrical capacitance tomography (ECT) is a promising measurement technique, which tries to reconstruct the permittivity distribution in a measurement domain by solving an inverse problem. Low quality images narrow the applicability of the technique. To address the challenge, a new cost function, which considers model deviation and measurement noises, is devised to model the ECT reconstruction problem. The soft thresholding method and the fast-iterative shrinkage thresholding technique (FIST) are embedded into the iterative split Bregman (ISB) method to solve the devised objective functional. The numerical and experimental results indicate that the proposed ECT imaging technique not only mitigates the ill-posed nature, but also improves the reconstruction quality.

中文翻译：

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基于电容层析成像的流型重构迭代计算成像方法

摘要 电容断层扫描（ECT）是一种很有前途的测量技术，它试图通过求解逆问题来重建测量域中的介电常数分布。低质量的图像缩小了该技术的适用性。为了应对这一挑战，设计了一种考虑模型偏差和测量噪声的新成本函数来对 ECT 重建问题进行建模。软阈值方法和快速迭代收缩阈值技术（FIST）被嵌入到迭代分裂布雷格曼（ISB）方法中来解决设计的目标函数。数值和实验结果表明，所提出的 ECT 成像技术不仅减轻了不适定性质，而且提高了重建质量。