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Talk Abstract
Possibilities and Limitations of Tomography

Frank Natterer
Department of Mathematics
University of Muenster
nattere@math.uni-muenster.de

 

In tomography one reconstructs a function from its line integrals. An obvious application of tomography to GPS is the determination of the refractive index in the ionosphere and in the troposhpere from travel times measured between points with known and well defined positions. We describe the fundamentals of tomographic image reconstruction in two and three dimensions for various sampling geometries. We study the possible spatial resolution and accuracy of reconstructed images, given the geometry of the sampled rays and and the accuracy of the measurements. We also study the effect of incomplete data and the case of very few data.

Material from talk    pdf (1.9MB)

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