University of Muenster
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.
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