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.
Geometry-Topology Seminar
Thursday, October 21, 2010 - 4:30pm
David Lipsky
University of Pennsylvania