New mathematical approaches for image reconstruction in medicine and industry
Miguel Moscoso (Universidad Carlos III de Madrid)
It is generally agreed that we are right in the middle of a second revolution in medical diagnostics with potentially enormous social and economic impact. New alternative imaging techniques are being proposed in this field that offer new points of view and different advantages compared to the more traditional techniques.
For example, in the application of molecular imaging, revolutionary results for non-invasive imaging of biomolecular function in living systems have been achivied. New techniques are currently also been investigated for specific diseases as breast cancer.
Among them, there is much interest in using microwaves for early-stage breast cancer detection. Its physucal basis is the high contrast between the dielectric properties of healthy breast tissue and the mailgnant tumors at these range of frequencies.
There are also quite significant improvements in inversion techniques for imaging in industrial applications, such as crack detection or reservoir characterization. In this talk, I will discuss some of these new ideas and I will present numerical experiments to assess their advantages and future potential. I will consider the following applications: optical tomography, microwave imaging for early breast cancer detection, and reservoir characterization.