Department of Mathematics Colloquium

University of Idaho

Spring 2012

Thursday,  April 26, 3:30-4:20 pm, room TLC 032

Refreshments in Brink 305 at 3:00 pm


New problems in emission tomography

 

Yulia Hristova


 Institute for Mathematics and its Applications

University of Minnesota



Abstract

Computerized tomography (CT) is the name of a class of non-invasive imaging techniques in which the interior structure of an object is computed from external measurements. In order to recover an image of the interior one typically needs to solve an inverse problem.

Emission tomography (ET) is a group of CT methods which seek to recover the distribution of sources inside an object from the radiation measured outside of it. While a number of ET methods are well studied and routinely used (e.g. positron emission tomography, single-photon emission computed tomography), new technologies are being developed in order to overcome the limitations of the existing ones.

In this talk I will discuss a couple of novel emission tomography techniques and the associated mathematics. Applications of these to medical imaging and national security will be presented.