Improved Impedance Tomography with Hybrid Data

Improved Impedance Tomography with Hybrid Data

This project is funded by grant no. 4002-00123 from the Danish Council for Independent Research | Natural Sciences

The project started July 1, 2014, and will end December 31, 2018. It is located at Department of Applied Mathematics and Computer Science (DTU Compute) at the Technical University of Denmark (DTU).

Team Members

Members from the Section for Scientific Computing at the Department of Applied Mathematics and Computer Science, DTU: External member Previous members


Project Summary

This project focuses on coupled-physics impedance tomography with hybrid data. We will derive and compare constructive formulations of the underlying problems, formulate mathematical algorithms for their solution, and rigorously prove fundamental properties of the algorithms and the solutions. In addition, we will develop state-of-the-art numerical reconstruction algorithms for the problems, and we will find ways to incorporate prior information about the solution to obtain regularized reconstruction methods whose solutions are robust w.r.t. to data errors.

We will approach a number of important theoretical questions related to impedance tomography via hybrid data, with focus on CDII and UMEIT problems. These questions are primarily connected to the underlying PDE formulations, the associated variational formulations, and how to impose stability by means of data fitting and prior information. We are not concerned with the problems of building the devices and performing the measurements; for test and validation we will use artificial data created through numerical simulations.

We will seek to answer the following questions related to tomography problems with hybrid data: