SHARQnet - Sophisticated Harmonic Artifact Reduction in Quantitative Susceptibility Mapping using a Deep Convolutional Neural Network

Quantitative susceptibility mapping (QSM) reveals pathological changes in widespread diseases such as Parkinson's disease, Multiple Sclerosis, or hepatic iron overload. QSM requires multiple processing steps after the acquisition of magnetic resonance imaging (MRI) phase measurements such as unwrapping, background field removal and the solution of an ill-posed field-to-source-inversion. Current techniques utilize iterative optimization procedures to solve the inversion and background field correction, which are computationally expensive and lead to suboptimal or over-regularized solutions requiring a careful choice of parameters that make a clinical application of QSM challenging. We have previously demonstrated that a deep convolutional neural network can invert the magnetic dipole kernel with a very efficient feed forward multiplication not requiring iterative optimization or the choice of regularization parameters. In this work, we extended this approach to remove background fields in QSM. The prototype method, called SHARQnet, was trained on simulated background fields and tested on 3T and 7T brain datasets. We show that SHARQnet outperforms current background field removal procedures and generalizes to a wide range of input data without requiring any parameter adjustments. In summary, we demonstrate that the solution of ill-posed problems in QSM can be achieved by learning the underlying physics causing the artifacts and removing them in an efficient and reliable manner and thereby will help to bring QSM towards clinical applications.

[1]  Wolfgang Bogner,et al.  Combining phase images from array coils using a short echo time reference scan (COMPOSER) , 2015, Magnetic resonance in medicine.

[2]  Kristian Bredies,et al.  Fast quantitative susceptibility mapping using 3D EPI and total generalized variation , 2015, NeuroImage.

[3]  Saifeng Liu,et al.  Susceptibility mapping of air, bone, and calcium in the head , 2015, Magnetic resonance in medicine.

[4]  Yi Wang,et al.  Quantitative susceptibility map reconstruction from MR phase data using bayesian regularization: Validation and application to brain imaging , 2010, Magnetic resonance in medicine.

[5]  Bing Wu,et al.  Quantitative susceptibility mapping of human brain reflects spatial variation in tissue composition , 2011, NeuroImage.

[6]  Hongfu Sun,et al.  Quantitative susceptibility mapping using single‐shot echo‐planar imaging , 2015, Magnetic resonance in medicine.

[7]  Christian Langkammer,et al.  Iron quantification with susceptibility , 2017, NMR in biomedicine.

[8]  Nitish Srivastava,et al.  Dropout: a simple way to prevent neural networks from overfitting , 2014, J. Mach. Learn. Res..

[9]  Martín Abadi,et al.  TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems , 2016, ArXiv.

[10]  Travis E. Oliphant,et al.  Guide to NumPy , 2015 .

[11]  Richard Bowtell,et al.  Effects of White Matter Microstructure on Phase and Susceptibility Maps , 2014, Magnetic resonance in medicine.

[12]  Daniel Güllmar,et al.  Analysis of intensity normalization for optimal segmentation performance of a fully convolutional neural network. , 2019, Zeitschrift fur medizinische Physik.

[13]  J. Leigh,et al.  High-precision mapping of the magnetic field utilizing the harmonic function mean value property. , 2001, Journal of magnetic resonance.

[14]  Kawin Setsompop,et al.  Quantitative susceptibility mapping using deep neural network: QSMnet , 2018, NeuroImage.

[15]  Ferdinand Schweser,et al.  SHARP edges: Recovering cortical phase contrast through harmonic extension , 2015, Magnetic resonance in medicine.

[16]  Yi Wang,et al.  A novel background field removal method for MRI using projection onto dipole fields (PDF) , 2011, NMR in biomedicine.

[17]  Ferdinand Schweser,et al.  Foundations of MRI phase imaging and processing for Quantitative Susceptibility Mapping (QSM). , 2016, Zeitschrift fur medizinische Physik.

[18]  Ferdinand Schweser,et al.  An illustrated comparison of processing methods for phase MRI and QSM: removal of background field contributions from sources outside the region of interest , 2017, NMR in biomedicine.

[19]  S. Reeder,et al.  Quantitative susceptibility mapping in the abdomen as an imaging biomarker of hepatic iron overload , 2015, Magnetic resonance in medicine.

[20]  Yi Wang,et al.  Morphology enabled dipole inversion for quantitative susceptibility mapping using structural consistency between the magnitude image and the susceptibility map , 2012, NeuroImage.

[21]  Julio Acosta-Cabronero,et al.  In Vivo MRI Mapping of Brain Iron Deposition across the Adult Lifespan , 2016, The Journal of Neuroscience.

[22]  G. Bruce Pike,et al.  Whole head quantitative susceptibility mapping using a least-norm direct dipole inversion method , 2018, NeuroImage.

[23]  A. Wilman,et al.  Background field removal using spherical mean value filtering and Tikhonov regularization , 2014, Magnetic resonance in medicine.

[24]  Guy B. Williams,et al.  In Vivo Quantitative Susceptibility Mapping (QSM) in Alzheimer's Disease , 2013, PloS one.

[25]  Yi Wang,et al.  Background field removal by solving the Laplacian boundary value problem , 2014, NMR in biomedicine.

[26]  Li Guo,et al.  Quantitative susceptibility mapping: Report from the 2016 reconstruction challenge , 2017, Magnetic resonance in medicine.

[27]  J. Reichenbach,et al.  Theory and application of static field inhomogeneity effects in gradient‐echo imaging , 1997, Journal of magnetic resonance imaging : JMRI.

[28]  Chunlei Liu,et al.  Whole brain susceptibility mapping using compressed sensing , 2012, Magnetic resonance in medicine.

[29]  J. Reichenbach,et al.  Differentiation between diamagnetic and paramagnetic cerebral lesions based on magnetic susceptibility mapping. , 2010, Medical physics.

[30]  Ferdinand Schweser,et al.  Quantitative Susceptibility Mapping in Parkinson's Disease , 2016, PloS one.

[31]  Stephen M Smith,et al.  Fast robust automated brain extraction , 2002, Human brain mapping.

[32]  Ferdinand Schweser,et al.  Quantitative imaging of intrinsic magnetic tissue properties using MRI signal phase: An approach to in vivo brain iron metabolism? , 2011, NeuroImage.

[33]  Peter M Jakob,et al.  Ultrashort echo time imaging using pointwise encoding time reduction with radial acquisition (PETRA) , 2012, Magnetic resonance in medicine.

[34]  Emmanuelle Gouillart,et al.  scikit-image: image processing in Python , 2014, PeerJ.

[35]  Eric Jones,et al.  SciPy: Open Source Scientific Tools for Python , 2001 .

[36]  Ferdinand Schweser,et al.  A comprehensive numerical analysis of background phase correction with V‐SHARP , 2017, NMR in biomedicine.

[37]  Pascal Spincemaille,et al.  Cerebral microbleeds: burden assessment by using quantitative susceptibility mapping. , 2012, Radiology.

[38]  John D. Hunter,et al.  Matplotlib: A 2D Graphics Environment , 2007, Computing in Science & Engineering.

[39]  Yoram Bresler,et al.  MR Image Reconstruction From Highly Undersampled k-Space Data by Dictionary Learning , 2011, IEEE Transactions on Medical Imaging.

[40]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[41]  Ferdinand Schweser,et al.  Overview of quantitative susceptibility mapping , 2017, NMR in biomedicine.

[42]  Frederik Barkhof,et al.  Mapping Deep Gray Matter Iron in Multiple Sclerosis by Using Quantitative Magnetic Susceptibility. , 2018, Radiology.

[43]  Yi Wang,et al.  Preconditioned total field inversion (TFI) method for quantitative susceptibility mapping , 2017, Magnetic resonance in medicine.

[44]  P. V. van Zijl,et al.  Quantitative Susceptibility Mapping Suggests Altered Brain Iron in Premanifest Huntington Disease , 2016, American Journal of Neuroradiology.

[45]  Thomas Brox,et al.  U-Net: Convolutional Networks for Biomedical Image Segmentation , 2015, MICCAI.

[46]  Xue Xiao,et al.  Integrated Laplacian‐based phase unwrapping and background phase removal for quantitative susceptibility mapping , 2014, NMR in biomedicine.

[47]  Steffen Bollmann,et al.  DeepQSM - Using Deep Learning to Solve the Dipole Inversion for MRI Susceptibility Mapping , 2018, bioRxiv.