## Abstract A method to measure arbitrary __k__‐space trajectories was developed to compensate for nonideal gradient performance during rapid magnetic resonance (MR) imaging with actively or nonactively shielded gradients at a magnetic field strength of 4.1 T. Accurate MR image reconstruction requi
A statistical approach to SENSE regularization with arbitrary k-space trajectories
✍ Scribed by Leslie Ying; Bo Liu; Michael C. Steckner; Gaohong Wu; Min Wu; Shi-Jiang Li
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 867 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0740-3194
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✦ Synopsis
Abstract
SENSE reconstruction suffers from an ill‐conditioning problem, which increasingly lowers the signal‐to‐noise ratio (SNR) as the reduction factor increases. Ill‐conditioning also degrades the convergence behavior of iterative conjugate gradient reconstructions for arbitrary trajectories. Regularization techniques are often used to alleviate the ill‐conditioning problem. Based on maximum a posteriori statistical estimation with a Huber Markov random field prior, this study presents a new method for adaptive regularization using the image and noise statistics. The adaptive Huber regularization addresses the blurry edges in Tikhonov regularization and the blocky effects in total variation (TV) regularization. Phantom and in vivo experiments demonstrate improved image quality and convergence speed over both the unregularized conjugate gradient method and Tikhonov regularization method, at no increase in total computation time. Magn Reson Med 60:414–421, 2008. © 2008 Wiley‐Liss, Inc.
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