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USCT Image Reconstruction: Acceleration using Gauss-Newton Preconditioned Conjugate Gradient

Wang, H.; Gemmeke, H.; Hopp, T. ORCID iD icon; Hesser, J.


Ultrasound transmission tomography offers quantitative characterization of the tissue or materials by their speed of sound and attenuation. Reconstruction of such images is an inverse problem which is solved iteratively based on a forward model of the Helmholtz equation by paraxial approximation and thus is time-consuming. Hence, developing optimizers that decrease this time, in particular reducing the number of forward propagations is of high relevance in order to bring this technology into clinical practice. In this paper, we solve the inverse problem of reconstruction in a two-level strategy, by an outer and an inner loop. At each iteration of the outer loop, the system is linearized and this linear subproblem is solved in the inner loop with a preconditioned conjugate gradient (CG). A standard Cholesky preconditioning method based on the system matrix is compared with a matrix-free Quasi-Newton update approach, where a preconditioned matrix-vector product is computed at the beginning of every CG iteration. We also use a multigrid scheme with multi-frequency reconstruction to get a convergent rough reconstruction at a lower frequency and then refine it on a higher-resolution grid. ... mehr

Verlagsausgabe §
DOI: 10.5445/IR/1000079815
Veröffentlicht am 05.10.2018
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Prozessdatenverarbeitung und Elektronik (IPE)
Institut für Technik der Informationsverarbeitung (ITIV)
Publikationstyp Proceedingsbeitrag
Publikationsjahr 2017
Sprache Englisch
Identifikator ISBN: 978-3-7315-0689-8
KITopen-ID: 1000079815
HGF-Programm 54.02.02 (POF III, LK 01) Ultraschnelle Datenauswertung
Erschienen in Proceedings of the International Workshop on Medical Ultrasound Tomography: 1.- 3. Nov. 2017, Speyer, Germany. Hrsg.: T. Hopp
Veranstaltung 1st International Workshop on Medical Ultrasound Tomography (MUST 2017), Speyer, Deutschland, 01.11.2017 – 03.11.2017
Verlag KIT Scientific Publishing
Seiten 41-52
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