Spherical mean values: Efficient computation by Fourier techniques and regularized reconstructions of function samples from discrete means
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2015072113341
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2015072113341
| Title: | Spherical mean values: Efficient computation by Fourier techniques and regularized reconstructions of function samples from discrete means |
| Authors: | Görner, Torsten |
| Thesis advisor: | Prof. Dr. Stefan Kunis |
| Thesis referee: | Prof. Dr. Daniel Potts |
| Abstract: | 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. |
| URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2015072113341 |
| Subject Keywords: | Spherical means; Trigonometric approximation; Fast Fourier transform; Tomography |
| Issue Date: | 21-Jul-2015 |
| License name: | Namensnennung-NichtKommerziell-KeineBearbeitung 3.0 Unported |
| License url: | http://creativecommons.org/licenses/by-nc-nd/3.0/ |
| Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
| Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| thesis_goerner.pdf | Präsentationsformat | 2,61 MB | Adobe PDF | thesis_goerner.pdf  View/Open |
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