Iterative projection onto convex sets for quantitative susceptibility mapping

Weiran Deng; Fernando Boada; Benedikt A Poser; Claudiu Schirda; Victor Andrew Stenger

doi:10.1002/mrm.25155

Iterative projection onto convex sets for quantitative susceptibility mapping

Weiran Deng^*, Fernando Boada, Benedikt A Poser, Claudiu Schirda, Victor Andrew Stenger

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

PURPOSE: Quantitative susceptibility map (QSM) reconstruction is ill posed due to the zero values on the "magic angle cone" that make the maps prone to streaking artifacts. We propose projection onto convex sets (POCS) in the method of steepest descent (SD) for QSM reconstruction.

METHODS: Two convex projections, an object-support projection in the image domain and a projection in k-space were used. QSM reconstruction using the proposed SD-POCS method was compared with SD and POCS alone as well as with truncated k-space division (TKD) for numerically simulated and 7 Tesla (T) human brain phase data.

RESULTS: The QSM reconstruction error from noise-free simulated phase data using SD-POCS is at least two orders of magnitude lower than using SD, POCS, or TKD and has reduced streaking artifacts. Using the l1 -TV reconstructed susceptibility as a gold standard for 7T in vivo imaging, SD-POCS showed better image quality comparing to SD, POCS, or TKD from visual inspection.

CONCLUSION: POCS is an alternative method for regularization that can be used in an iterative minimization method such as SD for QSM reconstruction.

Original language	English
Pages (from-to)	697-703
Number of pages	7
Journal	Magnetic Resonance in Medicine
Volume	73
Issue number	2
DOIs	https://doi.org/10.1002/mrm.25155
Publication status	Published - Feb 2015
Externally published	Yes

Keywords

Algorithms
Brain
Humans
Image Enhancement
Image Interpretation, Computer-Assisted
Magnetic Resonance Imaging
Phantoms, Imaging
Reproducibility of Results
Sensitivity and Specificity

Access to Document

10.1002/mrm.25155

Cite this

@article{dbfeac698390496f8ae71ffdd3cbcfa8,

title = "Iterative projection onto convex sets for quantitative susceptibility mapping",

abstract = "PURPOSE: Quantitative susceptibility map (QSM) reconstruction is ill posed due to the zero values on the {"}magic angle cone{"} that make the maps prone to streaking artifacts. We propose projection onto convex sets (POCS) in the method of steepest descent (SD) for QSM reconstruction.METHODS: Two convex projections, an object-support projection in the image domain and a projection in k-space were used. QSM reconstruction using the proposed SD-POCS method was compared with SD and POCS alone as well as with truncated k-space division (TKD) for numerically simulated and 7 Tesla (T) human brain phase data.RESULTS: The QSM reconstruction error from noise-free simulated phase data using SD-POCS is at least two orders of magnitude lower than using SD, POCS, or TKD and has reduced streaking artifacts. Using the l1 -TV reconstructed susceptibility as a gold standard for 7T in vivo imaging, SD-POCS showed better image quality comparing to SD, POCS, or TKD from visual inspection.CONCLUSION: POCS is an alternative method for regularization that can be used in an iterative minimization method such as SD for QSM reconstruction.",

keywords = "Algorithms, Brain, Humans, Image Enhancement, Image Interpretation, Computer-Assisted, Magnetic Resonance Imaging, Phantoms, Imaging, Reproducibility of Results, Sensitivity and Specificity",

author = "Weiran Deng and Fernando Boada and Poser, {Benedikt A} and Claudiu Schirda and Stenger, {Victor Andrew}",

note = "{\textcopyright} 2014 Wiley Periodicals, Inc.",

year = "2015",

month = feb,

doi = "10.1002/mrm.25155",

language = "English",

volume = "73",

pages = "697--703",

journal = "Magnetic Resonance in Medicine",

issn = "0740-3194",

publisher = "Wiley",

number = "2",

}

TY - JOUR

T1 - Iterative projection onto convex sets for quantitative susceptibility mapping

AU - Deng, Weiran

AU - Boada, Fernando

AU - Poser, Benedikt A

AU - Schirda, Claudiu

AU - Stenger, Victor Andrew

PY - 2015/2

Y1 - 2015/2

N2 - PURPOSE: Quantitative susceptibility map (QSM) reconstruction is ill posed due to the zero values on the "magic angle cone" that make the maps prone to streaking artifacts. We propose projection onto convex sets (POCS) in the method of steepest descent (SD) for QSM reconstruction.METHODS: Two convex projections, an object-support projection in the image domain and a projection in k-space were used. QSM reconstruction using the proposed SD-POCS method was compared with SD and POCS alone as well as with truncated k-space division (TKD) for numerically simulated and 7 Tesla (T) human brain phase data.RESULTS: The QSM reconstruction error from noise-free simulated phase data using SD-POCS is at least two orders of magnitude lower than using SD, POCS, or TKD and has reduced streaking artifacts. Using the l1 -TV reconstructed susceptibility as a gold standard for 7T in vivo imaging, SD-POCS showed better image quality comparing to SD, POCS, or TKD from visual inspection.CONCLUSION: POCS is an alternative method for regularization that can be used in an iterative minimization method such as SD for QSM reconstruction.

AB - PURPOSE: Quantitative susceptibility map (QSM) reconstruction is ill posed due to the zero values on the "magic angle cone" that make the maps prone to streaking artifacts. We propose projection onto convex sets (POCS) in the method of steepest descent (SD) for QSM reconstruction.METHODS: Two convex projections, an object-support projection in the image domain and a projection in k-space were used. QSM reconstruction using the proposed SD-POCS method was compared with SD and POCS alone as well as with truncated k-space division (TKD) for numerically simulated and 7 Tesla (T) human brain phase data.RESULTS: The QSM reconstruction error from noise-free simulated phase data using SD-POCS is at least two orders of magnitude lower than using SD, POCS, or TKD and has reduced streaking artifacts. Using the l1 -TV reconstructed susceptibility as a gold standard for 7T in vivo imaging, SD-POCS showed better image quality comparing to SD, POCS, or TKD from visual inspection.CONCLUSION: POCS is an alternative method for regularization that can be used in an iterative minimization method such as SD for QSM reconstruction.

KW - Algorithms

KW - Brain

KW - Humans

KW - Image Enhancement

KW - Image Interpretation, Computer-Assisted

KW - Magnetic Resonance Imaging

KW - Phantoms, Imaging

KW - Reproducibility of Results

KW - Sensitivity and Specificity

U2 - 10.1002/mrm.25155

DO - 10.1002/mrm.25155

M3 - Article

C2 - 24604410

SN - 0740-3194

VL - 73

SP - 697

EP - 703

JO - Magnetic Resonance in Medicine

JF - Magnetic Resonance in Medicine

IS - 2

ER -