Spherical mean values: Efficient computation by Fourier techniques and regularized reconstructions of function samples from discrete means

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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://repositorium.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

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