Reconstructing brain magnetic susceptibility distributions from T2* phase images by TV- regularized 2-subproblem split Bregman iterations
Reconstructing brain magnetic susceptibility distributions from T2* phase images by TV- regularized 2-subproblem split Bregman iterations
复制标题
通过电视正则化 2 子问题分裂 Bregman 迭代从 T2* 相位图像重建脑磁化率分布
DOI：
10.2147/rmi.s54514
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
V. Calhoun
中科院分区：
文献类型：
--
作者：
Zikuan Chen;V. Calhoun
T2*加权磁共振成像（T2*MRI）脑成像的根本原因主要是颅内磁化率分布不均匀（用χ表示）。我们可以通过两个计算步骤重建源 χ：首先，从 T2* 相位图像计算场图，然后，从场图计算 χ 图。根据观察到的 T2* 相位图像进行内部 χ 分布重建称为 χ 断层扫描，它意味着通过解决医学成像背景下的逆问题来实现具有空间一致性的数字源再现。在小相位角范围内，T2* 相位图像保持展开状态（−π ,相位角 ,π），并且它通过比例因子与场图线性相关。然而，由于不寻常的双极值核（偶极场核），第二个逆步骤（从场图计算 χ 图）是一个严重不适定的 3D 反卷积问题。我们报道了用于全变差正则化 3D χ 重建的 3 子问题分裂 Bregman 迭代算法；在本文中，我们报告了一种易于实现的 2 子问题分割 Bregman 迭代算法。我们通过数值模拟和模型实验验证了 3D χ 断层扫描算法。我们还证明了 3D χ 断层扫描以 2 mm 空间分辨率获得体内大脑 χ 状态的可行性。关键词：T2* 加权 MRI (T2*MRI)、磁化率断层扫描 (χ 断层扫描)、偶极子效应、3D 反卷积、滤波器截断、总变差 (TV)、分裂 Bregman 迭代、计算机反磁共振成像 (CIMRI)
The underlying source of brain imaging by T2*-weighted magnetic resonance imaging (T2*MRI) is mainly due to the intracranial inhomogeneous magnetic susceptibility distribution (denoted by χ). We can reconstruct the source χ by two computational steps: first, calculate a fieldmap from a T2* phase image and then second, calculate a χ map from the fieldmap. The internal χ distribution reconstruction from observed T2* phase images is termed χ tomography, which connotes the digital source reproduction with spatial conformance by solving inverse problems in the context of medical imaging. In the small phase angle regime, the T2* phase image remains unwrapped (−π ,phase angle ,π) and it is linearly related to the fieldmap by a scaling factor. However, the second inverse step (calculating a χ map from a fieldmap) is a severely ill-posed 3D deconvolution problem due to an unusual bipolar-valued kernel (dipole field kernel). We have reported on a 3-subproblem split Bregman iteration algorithm for total variation-regularized 3D χ reconstruction; in this paper, we report on a 2-subproblem split Bregman iteration algorithm with easy implementation. We validate the 3D χ tomography algo- rithms by numerical simulations and phantom experiments. We also demonstrate the feasibility of 3D χ tomography for obtaining in vivo brain χ states at 2 mm spatial resolution. Keywords: T2*-weighted MRI (T2*MRI), magnetic susceptibility tomography (χ tomography), dipole effect, 3D deconvolution, filter truncation, total variation (TV), split Bregman iteration, computed inverse magnetic resonance imaging (CIMRI)
DOI：
10.1002/cmr.b.20164
发表时间：
2010-08-01
期刊：
Concepts in magnetic resonance. Part B, Magnetic resonance engineering
影响因子：
--
作者：
Chen Z;Calhoun VD
通讯作者：
Calhoun VD
DOI：
10.1073/pnas.89.13.5951
发表时间：
1992-07-01
影响因子：
11.1
作者：
OGAWA, S;TANK, DW;UGURBIL, K
通讯作者：
UGURBIL, K