Towards analyzing the influence of measurement errors in magnetic resonance imaging of fluid flows : development of an interval-based iteration approach

John, Kristine and Rauh, Andreas and Bruschewski, Martin and Grundmann, Sven: Towards analyzing the influence of measurement errors in magnetic resonance imaging of fluid flows : development of an interval-based iteration approach. In: Acta cybernetica, (24) 3. pp. 343-372. (2020)

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Abstract

Magnetic Resonance Imaging (MRI) provides an insight into opaque structures and does not only have a large number of applications in the field of medical examinations but also in the field of engineering. In technical applications, MRI enables a contactless measurement of the two- or threedimensional velocity field within minutes. However, various measurement methods would benefit from an acceleration of the measurement procedure. Compressed Sensing is a promising method to fit this need. A random undersampling of the sampled data points enables a significant reduction of acquisition time. As this method requires a nonlinear iterative reconstruction of unmeasured data to obtain the same data quality as for a conventional fully sampled measurement, it is essential to estimate the influence of uncertainty on the quantitative result. This paper investigates the implementation of interval arithmetic approaches with a focus on the applicability in the frame of compressed sensing techniques. These approaches are able to handle bounded uncertainty not only in the case of linear relationships between measured data and the computed outputs but also allow for solving the necessary optimality criteria for the fluid velocity reconstruction in an iterative manner under the assumption of set-valued measurement errors and bounded representations of noise.

Item Type: Article
Heading title: Uncertainty modeling, software verified computing and optimization
Journal or Publication Title: Acta cybernetica
Date: 2020
Volume: 24
Number: 3
ISSN: 0324-721X
Page Range: pp. 343-372
Publisher: University of Szeged, Institute of Informatics
Place of Publication: Szeged
Event Title: Summer Workshop on Interval Methods (11.) (2018) (Rostock)
Related URLs: http://acta.bibl.u-szeged.hu/69263/
DOI: https://doi.org/10.14232/actacyb.24.3.2020.5
Uncontrolled Keywords: Mágneses rezonancia, Számítástechnika, Kibernetika
Additional Information: Bibliogr.: p. 370-372. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2020. Jul. 30. 13:05
Last Modified: 2020. Jul. 30. 13:05
URI: http://acta.bibl.u-szeged.hu/id/eprint/69283

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