Speaker:  Eric Todd Quinto, Robinson Professor of Mathematics

Affiliation:  Tufts University

Title:  Some thoughts on limited data tomography

Abstact:

Many tomography problems involve limited data, in which some of the
data needed for standard reconstruction algorithms are not available.
We will discuss a few such problems, including electron microscopy
tomography (ET).  We will examine our reconstructions (pictures of the
objects being scanned) from limited data to see how the limited data
affects reconstructions.  We will develop microlocal analysis, a
powerful tool to understand singularity detection and use this to
understand our observations.  Finally, we will discuss algorithms and
show the associated point spread functions.  This will give practical
perspective on our theoretical results and explain advantages of my
algorithm over the standard filtered back projection.  My mathematical
research on ET is joint with Ozan Oktem and practical research joint
with Ozan Oktem and Ulf Skoglund.