Calderón's method is a direct linearized reconstruction method for the inverse conductivity problem with the attribute that it can provide absolute images of both conductivity and permittivity with no need for forward modeling. In this work, an explicit relationship between Calderón's method and the D-bar method is provided, facilitating a "higher-order" Calderón's method in which a correction term is included, derived from the relationship to the D-bar method. Furthermore, a method of including a spatial prior is provided. These advances are demonstrated on simulated data and on tank data collected with the ACE1 EIT system.

中文翻译：

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带有修正项和先验信息的二阶 Calderon 方法

Calderón 的方法是一种直接线性化重建方法，用于反导电导率问题，其属性是它可以提供电导率和介电常数的绝对图像，而无需正演建模。在这项工作中，提供了 Calderón 方法和 D-bar 方法之间的明确关系，促进了“高阶”Calderón 方法，其中包含一个校正项，源自与 D-bar 方法的关系。此外，提供了一种包括空间先验的方法。这些进步在模拟数据和使用 ACE1 EIT 系统收集的坦克数据上得到了证明。