



In many physical calculations, the parameters of a system are used to predict how that system will behave. For example, if you know the internal structure of an object, it is relatively straightforward to determine what an Xray of that object will look like. An inverse problem is the reverse of this; it is the task of using the system's behaviour to calculate its internal parameters. For example, by taking multiple Xrays at multiple angles, it is possible (in a process known as tomography) to calculate the internal structure of the object. Inverse techniques have many scientific applications. For example, if you know the structure of the earth, you can calculate how the vibrations produced by an earthquake will propagate, and so predict how the earthquake will be observed at different points around the globe. The inverse of this is to use earthquake measurements to determine the Earth's structure. Waves from an earthquake propagating through the planet. Inverse problems appear in computer vision, measurement of fluid flow, and many other applications. The Invert group solves inverse problems related to mapping the ionosphere, medical imaging, industrial imaging, and a host of other applications.
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