EFFECTIVE DISCRETIZATION OF DIRECT RECONSTRUCTION SCHEMES FOR PHOTOACOUSTIC IMAGING IN SPHERICAL GEOMETRIES
| Autor(en): | Filbir, Frank Kunis, Stefan Seyfried, Ruben |
Stichwörter: | fast Fourier transform; INVERSION; Mathematics; Mathematics, Applied; radon transform; spherical means; TOMOGRAPHY | Erscheinungsdatum: | 2014 | Herausgeber: | SIAM PUBLICATIONS | Enthalten in: | SIAM JOURNAL ON NUMERICAL ANALYSIS | Band: | 52 | Ausgabe: | 6 | Startseite: | 2722 | Seitenende: | 2742 | Zusammenfassung: | Recently, kernel methods for the recovery of a function from its spherical means in spherical acquisition geometry have been proposed. We present efficient algorithms for these formulas in the two- and three-dimensional cases. Our scheme applies Fourier techniques for certain convolution type integrals and discretizes physical space on a polar and a spherical grid, respectively. |
ISSN: | 00361429 | DOI: | 10.1137/130944898 |
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