期刊
MAGNETIC RESONANCE IN MEDICINE
卷 65, 期 2, 页码 480-491出版社
JOHN WILEY & SONS INC
DOI: 10.1002/mrm.22595
关键词
total generalized variation; radial sampling; accelerated imaging; constrained reconstruction; denoising
资金
- Austrian Science Fund [SFB F3209-18]
- Austrian Science Fund (FWF) [F 3203, F 3209] Funding Source: researchfish
Total variation was recently introduced in many different magnetic resonance imaging applications. The assumption of total variation is that images consist of areas, which are piece-wise constant. However, in many practical magnetic resonance imaging situations, this assumption is not valid due to the inhomogeneities of the exciting B1 field and the receive coils. This work introduces the new concept of total generalized variation for magnetic resonance imaging, a new mathematical framework, which is a generalization of the total variation theory and which eliminates these restrictions. Two important applications are considered in this article, image denoising and image reconstruction from undersampled radial data sets with multiple coils. Apart from simulations, experimental results from in vivo measurements are presented where total generalized variation yielded improved image quality over conventional total variation in all cases. Magn Reson Med 65:480-491, 2011. (C) 2010 Wiley-Liss, Inc.
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