Super-resolution reconstruction to increase the spatial resolution of diffusion weighted images from orthogonal anisotropic acquisitions

Diffusion-weighted imaging (DWI) enables non-invasive investigation and characterization of the white matter but suffers from a relatively poor spatial resolution. Increasing the spatial resolution in DWI is challenging with a single-shot EPI acquisition due to the decreased signal-to-noise ratio and T2(∗) relaxation effect amplified with increased echo time. In this work we propose a super-resolution reconstruction (SRR) technique based on the acquisition of multiple anisotropic orthogonal DWI scans. DWI scans acquired in different planes are not typically closely aligned due to the geometric distortion introduced by magnetic susceptibility differences in each phase-encoding direction. We compensate each scan for geometric distortion by acquisition of a dual echo gradient echo field map, providing an estimate of the field inhomogeneity. We address the problem of patient motion by aligning the volumes in both space and q-space. The SRR is formulated as a maximum a posteriori problem. It relies on a volume acquisition model which describes how the acquired scans are observations of an unknown high-resolution image which we aim to recover. Our model enables the introduction of image priors that exploit spatial homogeneity and enables regularized solutions. We detail our SRR optimization procedure and report experiments including numerical simulations, synthetic SRR and real world SRR. In particular, we demonstrate that combining distortion compensation and SRR provides better results than acquisition of a single isotropic scan for the same acquisition duration time. Importantly, SRR enables DWI with resolution beyond the scanner hardware limitations. This work provides the first evidence that SRR, which employs conventional single shot EPI techniques, enables resolution enhancement in DWI, and may dramatically impact the role of DWI in both neuroscience and clinical applications.

[1]  Fan Zhang,et al.  Effects of echo time on diffusion quantification of brain white matter at 1.5T and 3.0T , 2009, Magnetic resonance in medicine.

[2]  Hayit Greenspan,et al.  MRI inter-slice reconstruction using super-resolution , 2002 .

[3]  S. Schoenberg,et al.  Influence of multichannel combination, parallel imaging and other reconstruction techniques on MRI noise characteristics. , 2008, Magnetic resonance imaging.

[4]  D. LeBihan,et al.  Molecular diffusion nuclear magnetic resonance imaging. , 1991 .

[5]  Roland G. Henry,et al.  Comparison of bootstrap approaches for estimation of uncertainties of DTI parameters , 2006, NeuroImage.

[6]  D. Le Bihan Molecular diffusion nuclear magnetic resonance imaging. , 1991, Magnetic resonance quarterly.

[7]  Susumu Mori,et al.  Fiber tracking: principles and strategies – a technical review , 2002, NMR in biomedicine.

[8]  Hayit Greenspan,et al.  Super-Resolution in Medical Imaging , 2009, Comput. J..

[9]  Simon K. Warfield,et al.  Robust Super-Resolution Volume Reconstruction From Slice Acquisitions: Application to Fetal Brain MRI , 2010, IEEE Transactions on Medical Imaging.

[10]  Alan Connelly,et al.  Track-density imaging (TDI): Super-resolution white matter imaging using whole-brain track-density mapping , 2010, NeuroImage.

[11]  Simon K. Warfield,et al.  Super-Resolution in Diffusion-Weighted Imaging , 2011, MICCAI.

[12]  Pff Pieter Wijn,et al.  Visualization in diffusion tensor imaging , 2003 .

[13]  S Peled,et al.  Superresolution in MRI: Application to human white matter fiber tract visualization by diffusion tensor imaging , 2001, Magnetic resonance in medicine.

[14]  G. Matheron Principles of geostatistics , 1963 .

[15]  Santiago Aja-Fernández,et al.  DWI filtering using joint information for DTI and HARDI , 2010, Medical Image Anal..

[16]  D. Donoho,et al.  Sparse MRI: The application of compressed sensing for rapid MR imaging , 2007, Magnetic resonance in medicine.

[17]  J. Pekar,et al.  MR color mapping of myelin fiber orientation. , 1991, Journal of computer assisted tomography.

[18]  P. Jezzard,et al.  Correction for geometric distortion in echo planar images from B0 field variations , 1995, Magnetic resonance in medicine.

[19]  Raghu Machiraju,et al.  Susceptibility Distortion Correction for Echo Planar Images with Non-uniform B-Spline Grid Sampling: A Diffusion Tensor Image Study , 2011, MICCAI.

[20]  F E Boada,et al.  A spectral approach to analyzing slice selection in planar imaging: Optimization for through‐plane interpolation , 1997, Magnetic resonance in medicine.

[21]  Daniel Rueckert,et al.  MRI of Moving Subjects Using Multislice Snapshot Images With Volume Reconstruction (SVR): Application to Fetal, Neonatal, and Adult Brain Studies , 2007, IEEE Transactions on Medical Imaging.

[22]  Michal Irani,et al.  Motion Analysis for Image Enhancement: Resolution, Occlusion, and Transparency , 1993, J. Vis. Commun. Image Represent..

[23]  J. E. Tanner,et al.  Spin diffusion measurements : spin echoes in the presence of a time-dependent field gradient , 1965 .

[24]  Nasser Kehtarnavaz,et al.  On the accuracy of unwarping techniques for the correction of susceptibility-induced geometric distortion in magnetic resonance Echo-planar images , 2011, 2011 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[25]  Daniel Rueckert,et al.  Diffusion tensor imaging (DTI) of the brain in moving subjects: Application to in‐utero fetal and ex‐utero studies , 2009, Magnetic resonance in medicine.

[26]  Matthew Brett,et al.  An Evaluation of the Use of Magnetic Field Maps to Undistort Echo-Planar Images , 2003, NeuroImage.