Spherical mean values: Efficient computation by Fourier techniques and regularized reconstructions of function samples from discrete means
Spherical means are a widespread model in modern imaging modalities like photoacoustic tomography. We develop Fourier based algorithms for an efficient computation of mean values. Furthermore we consider iterative reconstruction schemes, where we employ different regularization techniques.
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| Format: | Doctoral Thesis |
| Language: | English |
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2015
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| Online Access: | https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2015072113341 |