Ultrafast 3D Bloch–Siegert B+1‐mapping using variational modeling

Andreas Johann Lesch, Matthias Schlögl, Martin Holler, Kristian Bredies, Rudolf Stollberger

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

Purpose: Highly accelerated B 1 +-mapping based on the Bloch–Siegert shift to allow 3D acquisitions even within a brief period of a single breath-hold. Theory and Methods: The B 1 + dependent Bloch–Siegert phase shift is measured within a highly subsampled 3D-volume and reconstructed using a two-step variational approach, exploiting the different spatial distribution of morphology and B 1 + -field. By appropriate variable substitution the basic non-convex optimization problem is transformed in a sequential solution of two convex optimization problems with a total generalized variation (TGV) regularization for the morphology part and a smoothness constraint for the B 1 + -field. The method is evaluated on 3D in vivo data with retro- and prospective subsampling. The reconstructed B 1 + -maps are compared to a zero-padded low resolution reconstruction and a fully sampled reference. Results: The reconstructed B 1 + -field maps are in high accordance to the reference for all measurements with a mean error below 1% and a maximum of about 4% for acceleration factors up to 100. The minimal error for different sampling patterns was achieved by sampling a dense region in k-space center with acquisition times of around 10–12 s for 3D-acquistions. Conclusions: The proposed variational approach enables highly accelerated 3D acquisitions of Bloch–Siegert data and thus full liver coverage in a single breath hold.

Originalspracheenglisch
Seiten (von - bis)881-892
Seitenumfang12
FachzeitschriftMagnetic resonance in medicine
Jahrgang81
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - 1 Feb 2019

Fingerprint

Selection Bias
Liver
1012S

Dies zitieren

Ultrafast 3D Bloch–Siegert B+1‐mapping using variational modeling. / Lesch, Andreas Johann; Schlögl, Matthias; Holler, Martin; Bredies, Kristian; Stollberger, Rudolf.

in: Magnetic resonance in medicine, Jahrgang 81, Nr. 2, 01.02.2019, S. 881-892.

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Lesch, Andreas Johann ; Schlögl, Matthias ; Holler, Martin ; Bredies, Kristian ; Stollberger, Rudolf. / Ultrafast 3D Bloch–Siegert B+1‐mapping using variational modeling. in: Magnetic resonance in medicine. 2019 ; Jahrgang 81, Nr. 2. S. 881-892.
@article{d0b52d76f10a4713a4b69a33ce8453db,
title = "Ultrafast 3D Bloch–Siegert B+1‐mapping using variational modeling",
abstract = "Purpose: Highly accelerated B 1 +-mapping based on the Bloch–Siegert shift to allow 3D acquisitions even within a brief period of a single breath-hold. Theory and Methods: The B 1 + dependent Bloch–Siegert phase shift is measured within a highly subsampled 3D-volume and reconstructed using a two-step variational approach, exploiting the different spatial distribution of morphology and B 1 + -field. By appropriate variable substitution the basic non-convex optimization problem is transformed in a sequential solution of two convex optimization problems with a total generalized variation (TGV) regularization for the morphology part and a smoothness constraint for the B 1 + -field. The method is evaluated on 3D in vivo data with retro- and prospective subsampling. The reconstructed B 1 + -maps are compared to a zero-padded low resolution reconstruction and a fully sampled reference. Results: The reconstructed B 1 + -field maps are in high accordance to the reference for all measurements with a mean error below 1{\%} and a maximum of about 4{\%} for acceleration factors up to 100. The minimal error for different sampling patterns was achieved by sampling a dense region in k-space center with acquisition times of around 10–12 s for 3D-acquistions. Conclusions: The proposed variational approach enables highly accelerated 3D acquisitions of Bloch–Siegert data and thus full liver coverage in a single breath hold.",
author = "Lesch, {Andreas Johann} and Matthias Schl{\"o}gl and Martin Holler and Kristian Bredies and Rudolf Stollberger",
note = "{\circledC} 2018 The Authors Magnetic Resonance in Medicine published by Wiley Periodicals, Inc. on behalf of International Society for Magnetic Resonance in Medicine.",
year = "2019",
month = "2",
day = "1",
doi = "10.1002/mrm.27434",
language = "English",
volume = "81",
pages = "881--892",
journal = "Magnetic resonance in medicine",
issn = "0740-3194",
publisher = "John Wiley and Sons Inc.",
number = "2",

}

TY - JOUR

T1 - Ultrafast 3D Bloch–Siegert B+1‐mapping using variational modeling

AU - Lesch, Andreas Johann

AU - Schlögl, Matthias

AU - Holler, Martin

AU - Bredies, Kristian

AU - Stollberger, Rudolf

N1 - © 2018 The Authors Magnetic Resonance in Medicine published by Wiley Periodicals, Inc. on behalf of International Society for Magnetic Resonance in Medicine.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - Purpose: Highly accelerated B 1 +-mapping based on the Bloch–Siegert shift to allow 3D acquisitions even within a brief period of a single breath-hold. Theory and Methods: The B 1 + dependent Bloch–Siegert phase shift is measured within a highly subsampled 3D-volume and reconstructed using a two-step variational approach, exploiting the different spatial distribution of morphology and B 1 + -field. By appropriate variable substitution the basic non-convex optimization problem is transformed in a sequential solution of two convex optimization problems with a total generalized variation (TGV) regularization for the morphology part and a smoothness constraint for the B 1 + -field. The method is evaluated on 3D in vivo data with retro- and prospective subsampling. The reconstructed B 1 + -maps are compared to a zero-padded low resolution reconstruction and a fully sampled reference. Results: The reconstructed B 1 + -field maps are in high accordance to the reference for all measurements with a mean error below 1% and a maximum of about 4% for acceleration factors up to 100. The minimal error for different sampling patterns was achieved by sampling a dense region in k-space center with acquisition times of around 10–12 s for 3D-acquistions. Conclusions: The proposed variational approach enables highly accelerated 3D acquisitions of Bloch–Siegert data and thus full liver coverage in a single breath hold.

AB - Purpose: Highly accelerated B 1 +-mapping based on the Bloch–Siegert shift to allow 3D acquisitions even within a brief period of a single breath-hold. Theory and Methods: The B 1 + dependent Bloch–Siegert phase shift is measured within a highly subsampled 3D-volume and reconstructed using a two-step variational approach, exploiting the different spatial distribution of morphology and B 1 + -field. By appropriate variable substitution the basic non-convex optimization problem is transformed in a sequential solution of two convex optimization problems with a total generalized variation (TGV) regularization for the morphology part and a smoothness constraint for the B 1 + -field. The method is evaluated on 3D in vivo data with retro- and prospective subsampling. The reconstructed B 1 + -maps are compared to a zero-padded low resolution reconstruction and a fully sampled reference. Results: The reconstructed B 1 + -field maps are in high accordance to the reference for all measurements with a mean error below 1% and a maximum of about 4% for acceleration factors up to 100. The minimal error for different sampling patterns was achieved by sampling a dense region in k-space center with acquisition times of around 10–12 s for 3D-acquistions. Conclusions: The proposed variational approach enables highly accelerated 3D acquisitions of Bloch–Siegert data and thus full liver coverage in a single breath hold.

UR - http://www.scopus.com/inward/record.url?scp=85054899343&partnerID=8YFLogxK

U2 - 10.1002/mrm.27434

DO - 10.1002/mrm.27434

M3 - Article

VL - 81

SP - 881

EP - 892

JO - Magnetic resonance in medicine

JF - Magnetic resonance in medicine

SN - 0740-3194

IS - 2

ER -