Egger, Herbert ; Teschner, Gabriel (2021)
On the stable estimation of flow geometry and wall shear stress from magnetic resonance images.
In: Inverse Problems, 2021, 35 (9)
doi: 10.26083/tuprints-00019327
Artikel, Zweitveröffentlichung, Verlagsversion
Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2021 |
| Autor(en): | Egger, Herbert ; Teschner, Gabriel |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | On the stable estimation of flow geometry and wall shear stress from magnetic resonance images |
| Sprache: | Englisch |
| Publikationsjahr: | 2021 |
| Publikationsdatum der Erstveröffentlichung: | 2021 |
| Verlag: | IOP Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Inverse Problems |
| Jahrgang/Volume einer Zeitschrift: | 35 |
| (Heft-)Nummer: | 9 |
| Kollation: | 23 Seiten |
| DOI: | 10.26083/tuprints-00019327 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/19327 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung aus gefördertem Golden Open Access |
| Kurzbeschreibung (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. |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-193277 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen |
| Hinterlegungsdatum: | 06 Sep 2021 12:07 |
| Letzte Änderung: | 20 Sep 2021 07:19 |
| PPN: | |
| Zugehörige Links: | |
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| Suche nach Titel in: | TUfind oder in Google |
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