On Inexact Geometry Treatment in Fluorescence Molecular Tomography

Schlottbom, M. (Speaker)

    Activity: Talk or presentationOral presentation

    Description

    In many applications the treatment of interfaces is challenging. A particular difficulty arises if the geometry is only defined imprecisely. In this case, it is desirable to use methods which are robust and efficient. To this aim, we propose in this talk a diffuse interface method as a tool for the solution of variational inverse problems. The main idea is to replace variational integrals of the original problem by a weighted average of integrals of perturbed domains. This allows, for example, the use of structured grids in subsequent discretization procedures, which in turn might be used in the construction of very efficient methods. As a particular example of a variational regularization method, we will discuss Tikhonov regularization when applied to fluorescence optical tomography.
    Period28 Jun 2017
    Event titlePlatform for Advanced Scientific Computing Conference, PASC 2017
    Event typeConference
    LocationLugano
    Degree of RecognitionInternational