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Joint k-q Space Compressed Sensing for Accelerated Multi-Shell Acquisition and Reconstruction of the diffusion signal and Ensemble Average Propagator

Jian Cheng 1, * Dinggang Shen 2 Pew-Thian Yap 2 
* Corresponding author
1 http://scholar.google.com/citations?user=BARqXQ0AAAAJ
BRIC - Biomedical Research Imaging Center [North Carolina]
Abstract : High Angular Resolution Diffusion Imaging (HARDI) has been proposed to avoid the limitations of the conventional Diffusion Tensor Imaging (DTI) and to better explore white matter micro-structure non-invasively. However, HARDI methods normally require many more samples than DTI. For example, Diffusion Spectrum Imaging (DSI)[1], estimates the diffusion Ensemble Average Propagator (EAP) from typically 515 diffusion-weighted images, taking nearly one hour. Therefore, one important area of research in HARDI is to improve estimation of quantities such the diffusion propagator, the orientation distribution function, and diffusion-weighted signals from a reduced number of diffusion-weighted measurements. A solution to this problem is compressed sensing (CS). Existing approaches to compressed sensing diffusion MRI (CS-DMRI) mainly focus on applying CS in the q-space of diffusion signal measurements. For example, it has been shown in [2] that it is possible to accurately estimate the diffusion signal, with low root-mean-square-error (RMSE), from about 100 diffusion-weighted measurements in multiple shells (multiple b-values). However, this line of work fails to harness information redundancy in the k-space. By sub-sampling in both k-space and q-space, the scanning time can be significantly reduced, while keeping good estimation quality. To our knowledge, [3,4] are the only works using joint k-q space CS schemes to estimate the fiber ODF from single-shell data. The utility of this joint CS approach in multi-shell acquisition has not been sufficiently studied. In the current work, we propose a general framework, called k-q compressed sensing diffusion MRI (kq-CS-DMRI), to estimate the diffusion signal and the diffusion propagator from data sub-sampled in both k-space and q-space.
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https://hal.archives-ouvertes.fr/hal-01011893
Contributor : Jian Cheng Connect in order to contact the contributor
Submitted on : Friday, June 27, 2014 - 6:10:56 PM
Last modification on : Wednesday, August 21, 2019 - 10:22:07 AM
Long-term archiving on: : Saturday, September 27, 2014 - 10:40:55 AM

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Jian Cheng, Dinggang Shen, Pew-Thian Yap. Joint k-q Space Compressed Sensing for Accelerated Multi-Shell Acquisition and Reconstruction of the diffusion signal and Ensemble Average Propagator. ISMRM, May 2014, Italy. pp.664. ⟨hal-01011893⟩

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