Interdisciplinary Workshop on Electromagnetic Inverse Problems

使用低频电流的成像方法用于广泛的科学和工程领域，包括医疗应用，如监测重症监护患者的通风，定位地下污染羽流，勘探油藏和监测工厂中化学品的混合。使用线圈系统的类似方法也被用于寻找飞机部件上的裂缝，探测飞机乘客身上的刀具，以及定位地下的物体，如地雷。赞比西河和亚马逊河中的某些弱电鱼类产生电场，以在黑暗中或多云的水中探测它们的猎物和敌人。数学家们致力于寻找新的方法，从电气数据形成图像，并了解特定测量系统的能力。这些对上面列出的应用感兴趣的社区很少（如果有的话）见面互相学习。由于应用领域是如此不同，这是可以理解的：但所有的应用程序都有一个共同的数学框架，所以很自然，数学家应该提供会议场地。本提案的主要目的是在医学电子成像界的主要年度会议上组织一次研讨会，邀请来自上述主要领域的主要发言人以及相关数学专家。此外，还将安排一次小型会议：一种代码定义，其中实现最新数学图像重建方法的计算机程序被共享和调整以一起工作。这些程序连同共享数据将免费提供给那些在任何应用领域工作的人。

Imaging methods using low-frequency electric current are used across a wide range of science and engineering including medical applications such as monitoring ventilation of intensive care patients, locating pollution plumes underground, exploring oil reservoirs and monitoring mixing of chemicals in factories. Similar methods using systems of coils are also used to find cracks in aircraft parts, detect knives on air passengers and to locate objects, such as landmines, underground.Certain species of weakly electric fish in the Zambezi and Amazon rivers generate electric fields to detect their prey and enemies in the dark, or in cloudy water.Mathematicians work on finding new methods to form images from the electrical data, and to understand the capabilities of particular measurement systems.These communities interested in the above listed applications rarely, if ever, meet to learn from each other. As the application areas are so different this is understandable: but all applications share a common mathematical framework so it is natural that mathematicians should provide the meeting ground. The main purpose of this proposal is to organize a workshop inviting key speakers from some of the above mentioned main areas, together with experts in the relevant mathematics, in the context of the main annual meeting of the medical electrical imaging community.In addition, a smaller meeting will be arranged: a codefest in which computer programs that implement the latest mathematical image reconstruction methods, are shared and adjusted to work together. These programs together with shared data will be available freely to those working in any of the application areas.