About the event
Organisers: Francis M Watson, Sean Holman, Marta Betcke
A key consideration in inverse problems in imaging is whether sharp edges and other features of the image are faithfully recovered in the reconstruction process.
To analyse this we must understand how such features appear in the data. Microlocal analysis provides a theoretical framework for studying this propagation of sharp features in the image to the corresponding features in the data, and then the inversion of this process which occurs in the reconstruction.
In particular, microlocal analysis can tell us in many cases what features of an object to be imaged are “visible” from a given data set, and whether more data will be required for faithful reconstruction. It can also enable the design of practical computational tools.
This workshop will explore the application of microlocal analysis in a variety of large scale inverse problems, specifically aiming to be useful for industrial representatives working in areas that can benefit from the insights it provides. A particular application of interest will be multi-static Synthetic Aperture Radar, as well as other areas including seismic imaging, X-ray CT, and photo-acoustic tomography.