低场核磁共振扩散-横向弛豫二维反演算法

针对低场核磁共振一维反演中无法分辨一维谱中重叠组分和目前报道的扩散一横向弛豫二维反演算法计算量大、计算耗时长的问题，提出了一种计算量小、计算效率高、耗时短的扩散一横向弛豫二维反演算法．首先对扩散系数D和横向弛豫时间T2进行布点；其次根据信号采集条件计算出两个核心矩阵，并分别进行奇异值分解；然后，由所采集信号计算出两个核心矩阵的奇异值截断值，分别对两个核心矩阵的奇异值矩阵进行截断并求其逆矩阵；最后计算出初始反演结果，并添加非负约束经过多次迭代得到最终反演结果．实验结果证明，提出的扩散一横向弛豫二维反演算法在不影响反演结果准确性的基础上，能极大提高计算效率．...

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Published in波谱学杂志 Vol. 30; no. 3; pp. 322 - 335
Main Author 李新军 聂生东 王远军 杨培强
Format Journal Article
LanguageChinese
Published 上海理工大学医学影像工程研究所,上海,200093%上海纽迈电子科技有限公司,上海,200333 2013
Subjects
二维反演
扩散
核磁共振（NMR）
横向弛豫
transverse relaxation
diffusion
二维反演
扩散
two-dimensional inversion
核磁共振(NMR)
横向弛豫
nuclear magnetic resonance
Online AccessGet full text
ISSN1000-4556

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Abstract 针对低场核磁共振一维反演中无法分辨一维谱中重叠组分和目前报道的扩散一横向弛豫二维反演算法计算量大、计算耗时长的问题，提出了一种计算量小、计算效率高、耗时短的扩散一横向弛豫二维反演算法．首先对扩散系数D和横向弛豫时间T2进行布点；其次根据信号采集条件计算出两个核心矩阵，并分别进行奇异值分解；然后，由所采集信号计算出两个核心矩阵的奇异值截断值，分别对两个核心矩阵的奇异值矩阵进行截断并求其逆矩阵；最后计算出初始反演结果，并添加非负约束经过多次迭代得到最终反演结果．实验结果证明，提出的扩散一横向弛豫二维反演算法在不影响反演结果准确性的基础上，能极大提高计算效率．
AbstractList TP391.9; 针对低场核磁共振一维反演中无法分辨一维谱中重叠组分和目前报道的扩散-横向弛豫二维反演算法计算量大、计算耗时长的问题,提出了一种计算量小、计算效率高、耗时短的扩散-横向弛豫二维反演算法.首先对扩散系数D和横向弛豫时间T2进行布点;其次根据信号采集条件计算出两个核心矩阵,并分别进行奇异值分解;然后,由所采集信号计算出两个核心矩阵的奇异值截断值,分别对两个核心矩阵的奇异值矩阵进行截断并求其逆矩阵;最后计算出初始反演结果,并添加非负约束经过多次迭代得到最终反演结果.实验结果证明,提出的扩散-横向弛豫二维反演算法在不影响反演结果准确性的基础上,能极大提高计算效率.
针对低场核磁共振一维反演中无法分辨一维谱中重叠组分和目前报道的扩散一横向弛豫二维反演算法计算量大、计算耗时长的问题，提出了一种计算量小、计算效率高、耗时短的扩散一横向弛豫二维反演算法．首先对扩散系数D和横向弛豫时间T2进行布点；其次根据信号采集条件计算出两个核心矩阵，并分别进行奇异值分解；然后，由所采集信号计算出两个核心矩阵的奇异值截断值，分别对两个核心矩阵的奇异值矩阵进行截断并求其逆矩阵；最后计算出初始反演结果，并添加非负约束经过多次迭代得到最终反演结果．实验结果证明，提出的扩散一横向弛豫二维反演算法在不影响反演结果准确性的基础上，能极大提高计算效率．
Author 李新军 聂生东 王远军 杨培强
AuthorAffiliation 上海理工大学医学影像工程研究所,上海200093 上海纽迈电子科技有限公司,上海200333
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Author_FL NIE Sheng-dong
WANG Yuan-jun
LI Xin-jun
YANG Pei-qiang
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DocumentTitleAlternate An Improved Two-Dimensional Inversion Algorithm for Low-Field NMR Diffusion-Transverse Relaxation Correlation Data
DocumentTitle_FL An Improved Two-Dimensional Inversion Algorithm for Low-Field NMR Diffusion-Transverse Relaxation Correlation Data
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Keywords transverse relaxation
diffusion
二维反演
扩散
two-dimensional inversion
核磁共振(NMR)
横向弛豫
nuclear magnetic resonance
Language Chinese
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Notes LI Xin-jun1 , NIE Sheng-dong1 , WANG Yuan-jun1 , YANG Pei-qiang2 （1. Institute of Medical Imaging Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;2. Shanghai Niumag Corporation, Shanghai 200333, China）
42-1180/04
NMR spectra acquired at low field often show severe signal overlap. Under such circumstance, two-dimensional （2D） diffusion-transverse relaxation （D-T2） correlation data are useful to differentiate signals from different components in the sample. The currently available inversion algorithms for D-T2 correlation data are time- and memory-consuming. To overcome this problem, we developed an improved 2D D-T2 inversion algorithm, which is more effective and consumes less memory and time than the traditional inversion algorithms. In brief, the logarithm values of discrete diffusion coefficient and transverse relaxation time were first obtained and used to construct two core matrices according to the signal collection conditions. Singular value decomposition was then ca
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PublicationTitle 波谱学杂志
PublicationTitleAlternate Chinese Journal of Magnetic Resonance
PublicationTitle_FL Chinese Journal of Magnetic Resonance
PublicationYear 2013
Publisher 上海理工大学医学影像工程研究所,上海,200093%上海纽迈电子科技有限公司,上海,200333
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SubjectTerms 二维反演
扩散
核磁共振（NMR）
横向弛豫
Title 低场核磁共振扩散-横向弛豫二维反演算法
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