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DOI: 10.5445/IR/1000045943
DOI: 10.1364/OE.23.005368
Zitationen: 8
Web of Science
Zitationen: 7

TV-based conjugate gradient method and discrete L-curve for few-view CT reconstruction of X-ray in vivo data

Yang, Xiaoli; Hofmann, Ralf; Dapp, Robin; van de Kamp, Thomas; dos Santos Rolo, Tomy; Xiao, Xianghui; Moosmann, Julian; Kashef, Jubin; Stotzka, Rainer

High-resolution, three-dimensional (3D) imaging of soft tissues requires the solution of two inverse problems: phase retrieval and the reconstruction of the 3D image from a tomographic stack of two-dimensional (2D) projections. The number of projections per stack should be small to accommodate fast tomography of rapid processes and to constrain X-ray radiation dose to optimal levels to either increase the duration of in vivo time-lapse series at a given goal for spatial resolution and/or the conservation of structure under X-ray irradiation. In pursuing the 3D reconstruction problem in the sense of compressive sampling theory, we propose to reduce the number of projections by applying an advanced algebraic technique subject to the minimisation of the total variation (TV) in the reconstructed slice. This problem is formulated in a Lagrangian multiplier fashion with the parameter value determined by appealing to a discrete L-curve in conjunction with a conjugate gradient method. The usefulness of this reconstruction modality is demonstrated for simulated and in vivo data, the latter acquired in parallel-beam imaging experiments using ... mehr

Zugehörige Institution(en) am KIT Institut für Prozessdatenverarbeitung und Elektronik (IPE)
Institut für Photonenforschung und Synchrotronstrahlung (IPS)
ANKA - die Synchrotronstrahlungsquelle am KIT (ANKA)
Publikationstyp Zeitschriftenaufsatz
Jahr 2015
Sprache Englisch
Identifikator ISSN: 1094-4087
URN: urn:nbn:de:swb:90-459436
KITopen ID: 1000045943
HGF-Programm 46.12.01; LK 01
Erschienen in Optics Express
Band 23
Heft 5
Seiten 5368-5387
Bemerkung zur Veröffentlichung Gefördert durch den KIT-Publikationsfonds
Schlagworte Image reconstruction techniques, Inverse problems, Image quality assessment, Synchrotron radiation, X-ray imaging
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