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

Wang, H.; Gemmeke, H.; Hopp, T.; Hesser, J.

Abstract (englisch):
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 frequ ... mehr

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Verlagsausgabe §
DOI: 10.5445/IR/1000079815
Veröffentlicht am 05.10.2018
Seitenaufrufe: 66
seit 04.05.2018
Downloads: 21
seit 06.10.2018
Zugehörige Institution(en) am KIT Institut für Technik der Informationsverarbeitung (ITIV)
Institut für Prozessdatenverarbeitung und Elektronik (IPE)
Publikationstyp Proceedingsbeitrag
Jahr 2017
Sprache Englisch
Identifikator ISBN: 978-3-7315-0689-8
KITopen-ID: 1000079815
Erschienen in Proceedings of the International Workshop on Medical Ultrasound Tomography: 1.- 3. Nov. 2017, Speyer, Germany. Hrsg.: T. Hopp
Verlag KIT Scientific Publishing, Karlsruhe
Seiten 41-52
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