Penn Arts & Sciences Logo

Geometry-Topology Seminar

Thursday, October 21, 2010 - 4:30pm

David Lipsky

University of Pennsylvania

Location

University of Pennsylvania

DRL 4C8

The theory of integration with respect to Euler characteristic has nice applications to sensing problems. Of particular interest is the Radon transform: for a collection of sensors that count nearby targets, the Radon transform relates a distribution of targets with the associated sensor readings. Inverting the Radon transform corresponds to extracting information about the distribution of targets from the sensor readings. I will present a result of Schapira, which gives an inverse to the Radon transform in certain cases.