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On the stable estimation of flow geometry and wall shear stress from magnetic resonance images

Egger, Herbert ; Teschner, Gabriel (2021):
On the stable estimation of flow geometry and wall shear stress from magnetic resonance images. (Publisher's Version)
In: Inverse Problems, 35 (9), IOP Publishing, ISSN 0266-5611, e-ISSN 1361-6420,
DOI: 10.26083/tuprints-00019327,
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Item Type: Article
Origin: Secondary publication via sponsored Golden Open Access
Status: Publisher's Version
Title: On the stable estimation of flow geometry and wall shear stress from magnetic resonance images
Language: English
Abstract:

We consider the stable reconstruction of flow geometry and wall shear stress from measurements obtained by magnetic resonance imaging (MRI). As noted in a review article by Petersson, most approaches considered so far in the literature seem to not be satisfactory. We therefore propose a systematic reconstruction procedure that allows us to obtain stable estimates of flow geometry and wall shear stress and we are able to quantify the reconstruction errors in terms of bounds for the measurement errors under reasonable smoothness assumptions. A complete analysis of our approach is given in the framework of regularization methods. In addition, we briefly discuss the implementation of our method and we demonstrate its viability, accuracy, and regularizing properties for experimental data.

Journal or Publication Title: Inverse Problems
Journal volume: 35
Number: 9
Publisher: IOP Publishing
Collation: 23 Seiten
Classification DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
Divisions: 04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 06 Sep 2021 12:07
Last Modified: 06 Sep 2021 12:07
DOI: 10.26083/tuprints-00019327
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-193277
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19327
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