Comparison of sampling strategies and sparsifying transforms to improve compressed sensing diffusion spectrum imaging. Issue 1 (29th January 2014)

• Record Type: Journal Article
• Authors: Paquette, Michael; Merlet, Sylvain; Gilbert, Guillaume; Deriche, Rachid; Descoteaux, Maxime
• Is Part Of: Magnetic resonance in medicine. Volume 73:Issue 1(2015:Jan.)
• Page Start: 401
• Page End: 416
• Publication Date: 2014-01-29
• Subjects: Nuclear magnetic resonance -- Periodicals; Electron paramagnetic resonance -- Periodicals; 616.07548
• DOI: 10.1002/mrm.25093
• Languages: English
• ISSNs: 0740-3194

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <sec id="mrm25093-sec-0001" sec-type="section"> <title>Purpose</title> <p>Diffusion Spectrum Imaging enables to reconstruct the ensemble average propagator (EAP) at the expense of having to acquire a large number of measurements. Compressive sensing offers an efficient way to decrease the required number of measurements. The purpose of this work is to perform a thorough experimental comparison of three sampling strategies and six sparsifying transforms to show their impact when applied to accelerate compressive sensing‐diffusion spectrum imaging.</p> </sec> <sec id="mrm25093-sec-0002" sec-type="section"> <title>Methods</title> <p>We propose a novel sampling scheme that assures uniform angular and random radial q‐space samples. We also compare and implement six discrete sparse representations of the EAP and thoroughly evaluate them on synthetic and real data using metrics from the full EAP, kurtosis, and orientation distribution function.</p> </sec> <sec id="mrm25093-sec-0003" sec-type="section"> <title>Results</title> <p>The discrete wavelet transform with Cohen–Daubechies–Feauveau 9/7 wavelets and uniform angular sampling in combination with random radial sampling showed to be better than other tested techniques to accurately reconstruct the EAP and its features.</p> </sec> <sec id="mrm25093-sec-0004" sec-type="section"> <title>Conclusion</title> <p>It is important to jointly optimize the sampling scheme and the sparsifying transform to obtain accelerated compressive sensing‐diffusion spectrum imaging. Experiments on synthetic and real human brain data show that one can robustly recover both radial and angular EAP features while undersampling the acquisition to 64 measurements (undersampling factor of 4). Magn Reson Med 73:401–416, 2015. © 2014 Wiley Periodicals, Inc.</p> </sec> </abstract>