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采用有序子集期望最大化(OSEM)算法重建的正电子发射断层扫描(PET)图像中的噪声表征与模拟:一种合成图像生成方法的开发

Characterization and simulation of noise in PET images reconstructed with OSEM: Development of a method for the generation of synthetic images.

作者信息

Castro P, Huerga C, Chamorro P, Garayoa J, Roch M, Pérez L

机构信息

Servicio de Radiofísica, Hospital Universitario de La Princesa, Madrid, España.

Servicio de Radiofísica y Protección Radiológica, Hospital Universitario La Paz, Madrid, España.

出版信息

Rev Esp Med Nucl Imagen Mol (Engl Ed). 2018 Jul-Aug;37(4):229-236. doi: 10.1016/j.remn.2017.10.007. Epub 2018 Apr 17.

Abstract

INTRODUCTION

The goals of the study are to characterize imaging properties in 2D PET images reconstructed with the iterative algorithm ordered-subset expectation maximization (OSEM) and to propose a new method for the generation of synthetic images.

MATERIAL AND METHODS

The noise is analyzed in terms of its magnitude, spatial correlation, and spectral distribution through standard deviation, autocorrelation function, and noise power spectrum (NPS), respectively. Their variations with position and activity level are also analyzed. This noise analysis is based on phantom images acquired from F uniform distributions. Experimental recovery coefficients of hot spheres in different backgrounds are employed to study the spatial resolution of the system through point spread function (PSF). The NPS and PSF functions provide the baseline for the proposed simulation method: convolution with PSF as kernel and noise addition from NPS.

RESULTS

The noise spectral analysis shows that the main contribution is of random nature. It is also proven that attenuation correction does not alter noise texture but it modifies its magnitude. Finally, synthetic images of 2 phantoms, one of them an anatomical brain, are quantitatively compared with experimental images showing a good agreement in terms of pixel values and pixel correlations. Thus, the contrast to noise ratio for the biggest sphere in the NEMA IEC phantom is 10.7 for the synthetic image and 8.8 for the experimental image.

CONCLUSIONS

The properties of the analyzed OSEM-PET images can be described by NPS and PSF functions. Synthetic images, even anatomical ones, are successfully generated by the proposed method based on the NPS and PSF.

摘要

引言

本研究的目标是表征用迭代算法有序子集期望最大化(OSEM)重建的二维正电子发射断层扫描(PET)图像的成像特性,并提出一种生成合成图像的新方法。

材料与方法

分别通过标准偏差、自相关函数和噪声功率谱(NPS)从噪声的大小、空间相关性和光谱分布方面对噪声进行分析。还分析了它们随位置和活度水平的变化。这种噪声分析基于从均匀分布获取的体模图像。利用不同背景下热球的实验恢复系数,通过点扩散函数(PSF)研究系统的空间分辨率。NPS和PSF函数为所提出的模拟方法提供了基线:以PSF为核进行卷积并添加来自NPS的噪声。

结果

噪声光谱分析表明,主要贡献是随机性质的。还证明了衰减校正不会改变噪声纹理,但会改变其大小。最后,对两个体模的合成图像(其中一个是解剖学大脑)与实验图像进行了定量比较,结果表明在像素值和像素相关性方面具有良好的一致性。因此,对于NEMA IEC体模中最大的球体,合成图像的对比度与噪声比为10.7,实验图像为8.8。

结论

所分析的OSEM-PET图像的特性可以用NPS和PSF函数来描述。基于NPS和PSF的所提出方法成功地生成了合成图像,甚至是解剖学图像。

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