3D电容成像新方法，无需迭代，2秒内完成高精度重建。
Fast 3D Partial Boundary Data EIT Reconstructions using Direct Inversion CGO-based Methods
- 基于直接反演的复几何光学方法，处理部分边界数据。
- 在噪声和模型误差下仍保持高定位精度，2秒内完成重建。
- 适合需快速成像的医疗场景，如肺功能监测或实时检测。
本文首次提出适用于三维电导率断层成像（EIT）的、基于复几何光学的局部边界数据方法，并在模拟与实验数据上进行了验证。该方法在绝对成像和时差成像中均能实现目标的良好定位，即使大部分区域无法测量也有效。由于大多数医学应用受限于局部边界测量，发展此类算法具有重要意义。传统迭代方法计算成本高，难以满足快速成像需求；而本方法无需迭代，在2秒内即可生成有信息量的绝对或时差图像。重建结果与标准线性差分成像（耗时30秒）及总变差正则化绝对成像（数分钟）的参考结果对比表现良好，且在高噪声和错误域建模条件下仍具鲁棒性。
原文摘要 · Abstract (English)
The first partial boundary data complex geometrical optics based methods for electrical impedance tomography in three dimensions are developed, and tested, on simulated and experimental data. The methods provide good localization of targets for both absolute and time-difference imaging, when large portions of the domain are inaccessible for measurement. As most medical applications of electrical impedance tomography are limited to partial boundary data, the development of partial boundary algorithms is highly desirable. While iterative schemes have been used traditionally, their high computational cost makes them cost-prohibitive for applications that need fast imaging. The proposed algorithms require no iteration and provide informative absolute or time-difference images exceptionally quickly in under 2 seconds. Reconstructions are compared to reference reconstructions from standard linear difference imaging (30 seconds) and total variation regularized absolute imaging (several minutes) The algorithms perform well under high levels of noise and incorrect domain modeling.
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