Second order total generalized variation (TGV) for MRI.
Second order total generalized variation (TGV) for MRI.
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DOI：
10.1002/mrm.22595
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发表时间：
2011-02
影响因子：
3.3
通讯作者：
Stollberger, Rudolf
中科院分区：
文献类型：
--
作者：
Knoll, Florian;Bredies, Kristian;Pock, Thomas;Stollberger, Rudolf
关键词：
总变异（TV）最近被引入到许多不同的MRI应用中。电视的假设是图像是由区域组成的，这些区域是分段恒定的。然而，在许多实际的MRI情况下，由于激发B1场和接收线圈的不均匀性，这种假设是无效的。本文引入了MRI总广义变差（TGV）的新概念，这是一个新的数学框架，它是TV理论的推广，消除了这些限制。本文考虑了两个重要的应用，即图像去噪和多线圈欠采样径向数据集的图像重建。除了模拟，实验结果从体内测量提出了TGV产生改善的图像质量比传统电视在所有情况下。
Total Variation (TV) was recently introduced in many different MRI applications. The assumption of TV is that images consist of areas, which are piecewise constant. However, in many practical MRI 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 (TGV) for MRI, a new mathematical framework, which is a generalization of the TV theory and which eliminates these restrictions. Two important applications are considered in this paper, 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 TGV yielded improved image quality over conventional TV in all cases.
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