Phase reconstruction from velocity-encoded MRI measurements – A survey of sparsity-promoting variational approaches

Handle URI:
http://hdl.handle.net/10754/599176
Title:
Phase reconstruction from velocity-encoded MRI measurements – A survey of sparsity-promoting variational approaches
Authors:
Benning, Martin; Gladden, Lynn; Holland, Daniel; Schönlieb, Carola-Bibiane; Valkonen, Tuomo
Abstract:
In recent years there has been significant developments in the reconstruction of magnetic resonance velocity images from sub-sampled k-space data. While showing a strong improvement in reconstruction quality compared to classical approaches, the vast number of different methods, and the challenges in setting them up, often leaves the user with the difficult task of choosing the correct approach, or more importantly, not selecting a poor approach. In this paper, we survey variational approaches for the reconstruction of phase-encoded magnetic resonance velocity images from sub-sampled k-space data. We are particularly interested in regularisers that correctly treat both smooth and geometric features of the image. These features are common to velocity imaging, where the flow field will be smooth but interfaces between the fluid and surrounding material will be sharp, but are challenging to represent sparsely. As an example we demonstrate the variational approaches on velocity imaging of water flowing through a packed bed of solid particles. We evaluate Wavelet regularisation against Total Variation and the relatively recent second order Total Generalised Variation regularisation. We combine these regularisation schemes with a contrast enhancement approach called Bregman iteration. We verify for a variety of sampling patterns that Morozov's discrepancy principle provides a good criterion for stopping the iterations. Therefore, given only the noise level, we present a robust guideline for setting up a variational reconstruction scheme for MR velocity imaging. © 2013 Elsevier Inc. All rights reserved.
Citation:
Benning M, Gladden L, Holland D, Schönlieb C-B, Valkonen T (2014) Phase reconstruction from velocity-encoded MRI measurements – A survey of sparsity-promoting variational approaches. Journal of Magnetic Resonance 238: 26–43. Available: http://dx.doi.org/10.1016/j.jmr.2013.10.003.
Publisher:
Elsevier BV
Journal:
Journal of Magnetic Resonance
KAUST Grant Number:
KUK-I1-007-43
Issue Date:
Jan-2014
DOI:
10.1016/j.jmr.2013.10.003
PubMed ID:
24291331
Type:
Article
ISSN:
1090-7807
Sponsors:
This work has been financially supported by the King Abdullah University of Science and Technology (KAUST) Award No. KUK-I1-007-43, and the EPSRC/Isaac Newton Trust Small Grant 2012/13 "Non-smooth geometric reconstruction for high resolution MRI imaging of fluid transport in bed reactors", EPSRC Grant EP/F047991/1, and Microsoft Research Connections.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBenning, Martinen
dc.contributor.authorGladden, Lynnen
dc.contributor.authorHolland, Danielen
dc.contributor.authorSchönlieb, Carola-Bibianeen
dc.contributor.authorValkonen, Tuomoen
dc.date.accessioned2016-02-25T13:54:20Zen
dc.date.available2016-02-25T13:54:20Zen
dc.date.issued2014-01en
dc.identifier.citationBenning M, Gladden L, Holland D, Schönlieb C-B, Valkonen T (2014) Phase reconstruction from velocity-encoded MRI measurements – A survey of sparsity-promoting variational approaches. Journal of Magnetic Resonance 238: 26–43. Available: http://dx.doi.org/10.1016/j.jmr.2013.10.003.en
dc.identifier.issn1090-7807en
dc.identifier.pmid24291331en
dc.identifier.doi10.1016/j.jmr.2013.10.003en
dc.identifier.urihttp://hdl.handle.net/10754/599176en
dc.description.abstractIn recent years there has been significant developments in the reconstruction of magnetic resonance velocity images from sub-sampled k-space data. While showing a strong improvement in reconstruction quality compared to classical approaches, the vast number of different methods, and the challenges in setting them up, often leaves the user with the difficult task of choosing the correct approach, or more importantly, not selecting a poor approach. In this paper, we survey variational approaches for the reconstruction of phase-encoded magnetic resonance velocity images from sub-sampled k-space data. We are particularly interested in regularisers that correctly treat both smooth and geometric features of the image. These features are common to velocity imaging, where the flow field will be smooth but interfaces between the fluid and surrounding material will be sharp, but are challenging to represent sparsely. As an example we demonstrate the variational approaches on velocity imaging of water flowing through a packed bed of solid particles. We evaluate Wavelet regularisation against Total Variation and the relatively recent second order Total Generalised Variation regularisation. We combine these regularisation schemes with a contrast enhancement approach called Bregman iteration. We verify for a variety of sampling patterns that Morozov's discrepancy principle provides a good criterion for stopping the iterations. Therefore, given only the noise level, we present a robust guideline for setting up a variational reconstruction scheme for MR velocity imaging. © 2013 Elsevier Inc. All rights reserved.en
dc.description.sponsorshipThis work has been financially supported by the King Abdullah University of Science and Technology (KAUST) Award No. KUK-I1-007-43, and the EPSRC/Isaac Newton Trust Small Grant 2012/13 "Non-smooth geometric reconstruction for high resolution MRI imaging of fluid transport in bed reactors", EPSRC Grant EP/F047991/1, and Microsoft Research Connections.en
dc.publisherElsevier BVen
dc.subjectBregman iterationen
dc.subjectCompressed sensingen
dc.subjectHigher-order regularisationen
dc.subjectPhase-encoded magnetic resonanceen
dc.subjectTotal variationen
dc.subjectVelocity imagingen
dc.titlePhase reconstruction from velocity-encoded MRI measurements – A survey of sparsity-promoting variational approachesen
dc.typeArticleen
dc.identifier.journalJournal of Magnetic Resonanceen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
kaust.grant.numberKUK-I1-007-43en

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