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Titel: Spherically symmetric volume elements as basis functions for image reconstructions in computed laminography
VerfasserIn: Trampert, Patrick
Vogelgesang, Jonas
Schorr, Christian
Maisl, Michael
Bogachev, Sviatoslav
Marniok, Nico
Louis, Alfred
Dahmen, Tim
Slusallek, Philipp
Sprache: Englisch
Titel: Journal of X-Ray Science and Technology
Bandnummer: 25
Heft: 4
Seiten: 533–546
Verlag/Plattform: IOS Press
Erscheinungsjahr: 2017
Freie Schlagwörter: Computed laminography
blob basis function
simultaneous algebraic reconstruction technique
SART
Kaiser-Bessel window
DDC-Sachgruppe: 004 Informatik
510 Mathematik
Dokumenttyp: Journalartikel / Zeitschriftenartikel
Abstract: BACKGROUND: Laminography is a tomographic technique that allows three-dimensional imaging of flat, elongated objects that stretch beyond the extent of a reconstruction volume. Laminography datasets can be reconstructed using iterative algorithms based on the Kaczmarz method. OBJECTIVE: The goal of this study is to develop a reconstruction algorithm that provides superior reconstruction quality for a challenging class of problems. METHODS:Images are represented in computer memory using coefficients over basis functions, typically piecewise constant functions (voxels). By replacing voxels with spherically symmetric volume elements (blobs) based on generalized KaiserBessel window functions, we obtained an adapted version of the algebraic reconstruction technique. RESULTS: Band-limiting properties of blob functions are beneficial particular in the case of noisy projections and if only a limited number of projections is available. In this case, using blob basis functions improved the full-width-at-half-maximum resolution from 10.2 ± 1.0 to 9.9 ± 0.9 (p value = 2.3·10−4). For the same dataset, the signal-to-noise ratio improved from 16.1 to 31.0. The increased computational demand per iteration is compensated for by a faster convergence rate, such that the overall performance is approximately identical for blobs and voxels. CONCLUSIONS: Despite the higher complexity, tomographic reconstruction from computed laminography data should be implemented using blob basis functions, especially if noisy data is expected.
DOI der Erstveröffentlichung: 10.3233/XST-16230
URL der Erstveröffentlichung: https://doi.org/10.3233/xst-16230
Link zu diesem Datensatz: urn:nbn:de:bsz:291--ds-387615
hdl:20.500.11880/34924
http://dx.doi.org/10.22028/D291-38761
ISSN: 1095-9114
0895-3996
Datum des Eintrags: 19-Jan-2023
Fakultät: MI - Fakultät für Mathematik und Informatik
Fachrichtung: MI - Informatik
MI - Mathematik
Professur: MI - Prof. Dr. Philipp Slusallek
MI - Keiner Professur zugeordnet
Sammlung:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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