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Verfasst von:Kiefer, Lukas [VerfasserIn]   i
 Petra, Stefania [VerfasserIn]   i
 Storath, Martin [VerfasserIn]   i
 Weinmann, Andreas [VerfasserIn]   i
Titel:Multi-channel Potts-based reconstruction for multi-spectral computed tomography
Verf.angabe:Lukas Kiefer, Stefania Petra, Martin Storath and Andreas Weinmann
E-Jahr:2021
Jahr:1 March 2021
Umfang:? S.
Teil:volume:37
 year:2021
 number:4
 elocationid:045004
 pages:?
 extent:?
Fussnoten:Gesehen am 06.08.2021
Titel Quelle:Enthalten in: Inverse problems
Ort Quelle:Bristol [u.a.] : Inst., 1985
Jahr Quelle:2021
Band/Heft Quelle:37(2021), 4, Artikel-ID 045004, Seite ?
ISSN Quelle:1361-6420
Abstract:We consider reconstructing multi-channel images from measurements performed by photon-counting and energy-discriminating detectors in the setting of multi-spectral x-ray computed tomography (CT). Our aim is to exploit the strong structural correlation that is known to exist between the channels of multi-spectral CT images. To that end, we adopt the multi-channel Potts prior to jointly reconstruct all channels. This nonconvex prior produces piecewise constant solutions with strongly correlated channels. In particular, edges are strictly enforced to have the same spatial position across channels which is a benefit over TV-based methods whose channel-couplings are typically less strict. We consider the Potts prior in two frameworks: (a) in the context of a variational Potts model, and (b) in a Potts-superiorization approach that perturbs the iterates of a basic iterative least squares solver. We identify an alternating direction method of multipliers approach as well as a Potts-superiorized conjugate gradient method as particularly suitable. In numerical experiments, we compare the Potts prior based approaches to existing TV-type approaches on realistically simulated multi-spectral CT data and obtain improved reconstruction for compound solid bodies.
DOI:doi:10.1088/1361-6420/abdd45
URL:Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.

Volltext: https://doi.org/10.1088/1361-6420/abdd45
 DOI: https://doi.org/10.1088/1361-6420/abdd45
Datenträger:Online-Ressource
Sprache:eng
K10plus-PPN:1755770073
Verknüpfungen:→ Zeitschrift

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