GLOBAL- Manchester Image Reconstruction and ANalysis (MIRAN): Step jumps in imaging by Global Exchange of user pull and method push

通过“重建成像”，我们指的是根据在外部进行的测量来制作物体内部的二维或三维图像的方法。常见的例子包括医院中常见的扫描仪（X射线，MRI和超声波）。在这样的系统中，图像不是像在相机中那样直接形成的，而是由计算机从机器测量的数据中计算出来的，这涉及到解决数学中所谓的“逆问题”-从数据到图像的反向工作。解决反问题背后的数学和计算机科学是复杂和具有挑战性的。在医学成像中出现的同样的数学问题也出现在地球物理成像中，例如用于寻找石油或考古调查，用于研究新材料的行为，例如用于制造飞机涡轮机叶片，用于探测地雷和未爆炸的炸弹，以及用于监测工业过程中的流动，混合物和火焰。在这个项目中，我们将汇集科学家，数学家和工程师，他们致力于广泛的重建成像问题，因此从一个问题中获得的见解可以应用于另一个问题，并且通过共同研究问题的共同点，可以找到解决这些问题的更好方法。

By "reconstructive imaging" we mean methods of making two, or three, dimensional images of the inside of objects from measurements taken on the outside. Common examples include the scanners (x-ray, MRI and ultrasound) familiar in hospitals. In such systems an image is not formed directly as in a camera but is calculated by a computer from the data the machine measures, and this involves solving what in mathematics is called an "inverse problem" - working backwards from the data to the image. The mathematics and the computer science behind solving inverse problems are complex and challenging. The same mathematical problems that arise in medical imaging arise in geophysical imaging, used for example in searching for oil or an archaeological survey, in studying the behaviour of new materials, for example to make aircraft turbine blades, in the detection of landmines and unexploded bombs, and in monitoring flows, mixtures and flames in industrial processes.In this project we will bring together scientists, mathematicians and engineers who work on a wide range of reconstructive imaging problems, so that the insights gained from one problem can be applied to another and better ways to solve these problems will emerge from working together on aspects the problems have in common.