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arXiv 1402.4067cs.CV
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SENSE并行MRI中的统计噪声分析

Statistical Noise Analysis in SENSE Parallel MRI

Universidad de Valladolid(巴利亚多利德大学)

Santiago Aja-Fernandez, Gonzalo Vegas-Sanchez-Ferrero, Antonio Trsitan-Vega

摘要:

提出了SENSE重建数据中噪声的完整的一阶和二阶统计特性。SENSE采集通常被建模为Rician分布,因为数据重建发生在空间域中,其中假设高斯噪声。然而,该模型仅适用于一阶统计量,并且消除了线圈相关性和重建插值引起的其他影响。在本研究中适当考虑了这些影响,以充分证明最终SENSE噪声模型的合理性。结果,重建图像的一些有趣的特征出现:(1)相邻线之间存在强相关性。(2)所得到的分布是非平稳的,因此噪声的方差将在图像上逐点变化。提出了计算噪声方差和谱线间相关系数的封闭方程。所提出的模型是完全兼容的g因子配方。

英文摘要:

A complete first and second order statistical characterization of noise in SENSE reconstructed data is proposed. SENSE acquisitions have usually been modeled as Rician distributed, since the data reconstruction takes place into the spatial domain, where Gaussian noise is assumed. However, this model just holds for the first order statistics and obviates other effects induced by coils correlations and the reconstruction interpolation. Those effects are properly taken into account in this study, in order to fully justify a final SENSE noise model. As a result, some interesting features of the reconstructed image arise: (1) There is a strong correlation between adjacent lines. (2) The resulting distribution is non-stationary and therefore the variance of noise will vary from point to point across the image. Closed equations for the calculation of the variance of noise and the correlation coefficient between lines are proposed. The proposed model is totally compatible with g-factor formulations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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