An example of a CT head scan.
(Curtesy of Wikipedia)
The informal seminar meets on Fridays from noon till 1pm
in Blocker Rm. 627. It is devoted to discussing
mathematical and statistical issues of inverse problems.
September 18th, 2009
Leonid Kunyansky (University of Arizona) The Helmholtz equation
and new hybrid methods of biomedical imaging
Abstract: Tomography is based on measurements of various types
of waves and fields propagating through the object of interest. In order to reconstruct the images from
the measured data, one needs to solve the corresponding inverse problem. Frequently, however, the more information
the wave carries, the more difficult the problem becomes to solve. An exciting new approach suggests
to use two types of waves at once, as it is done in termoacoustic tomography and acousto-electric
tomography. The talk will provide an introduction to the mathematics of these techniques. We will
explain how, by exploiting some basic properties of the Helmholtz equation, one can find inversion formulas
and develop efficient reconstruction methods.
The results of numerical simulations will illustrate how these techniques work.
The talk will be accessible to graduate students.
January 30th, 2009
Peter Kuchment (TAMU, Mathematics) Imaging self-radiating objects.
February 13th, 2009
Jeffrey D. Hart (TAMU, Statistics) Estimating Distributions in Random Effects Models:
Identifiability and Efficiency. Abstract.
March 27th, 2009
Jiguo Cao (Dept. Statistics and Actuarial Sci., Simon Fraser University
Statistical Inference for Dynamic models with the Generalized Profiling Method.
Abstract.
April 3rd, 2009
William Rundell (TAMU, Mathematics)
Inverse Obstacle Problems.
Abstract.
April 17th, 2009
Ray Carroll (TAMU, Statistics) Open problems in testing for change points in Epidemiology when exposure is assessed with uncertainty.
Abstract.