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An Iterated Complex Matrix Approach for Simulation and Analysis of Diffusion MRI Processes
Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, Faculty of Science & Engineering. Linköping University, Center for Medical Image Science and Visualization (CMIV).ORCID iD: 0000-0002-9091-4724
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, Faculty of Science & Engineering.
2015 (English)In: MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI 2015, PT I, SPRINGER INT PUBLISHING AG , 2015, Vol. 9349, 61-68 p.Conference paper (Refereed)Text
Abstract [en]

We present a novel approach to investigate the properties of diffusion weighted magnetic resonance imaging (dMRI). The process of restricted diffusion of spin particles in the presence of a magnetic field is simulated by an iterated complex matrix multiplication approach. The approach is based on first principles and provides a flexible, transparent and fast simulation tool. The experiments carried out reveals fundamental features of the dMRI process. A particularly interesting observation is that the induced speed of the local spatial spin angle rate of change is highly shift variant. Hence, the encoding basis functions are not the complex exponentials associated with the Fourier transform as commonly assumed. Thus, reconstructing the signal using the inverse Fourier transform leads to large compartment estimation errors, which is demonstrated in a number of 1D and 2D examples. In accordance with previous investigations the compartment size is under-estimated. More interestingly, however, we show that the estimated shape is likely to be far from the true shape using state of the art clinical MRI scanners.

Place, publisher, year, edition, pages
SPRINGER INT PUBLISHING AG , 2015. Vol. 9349, 61-68 p.
Series
Lecture Notes in Computer Science, ISSN 0302-9743 (print), 1611-3349 (online) ; 9349
National Category
Medical Biotechnology Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-124149DOI: 10.1007/978-3-319-24553-9_8ISI: 000366205700008ISBN: 978-3-319-24553-9; 978-3-319-24552-2OAI: oai:DiVA.org:liu-124149DiVA: diva2:896741
Conference
18th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI)
Available from: 2016-01-22 Created: 2016-01-19 Last updated: 2016-01-22

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Knutsson, HansHerberthson, MagnusWestin, Carl-Fredrik
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Medical InformaticsFaculty of Science & EngineeringCenter for Medical Image Science and Visualization (CMIV)Mathematics and Applied Mathematics
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ReferencesLink to record
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