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99mTc单光子发射计算机断层扫描中有序子集期望最大化算法结合三维重建后高斯滤波的特性及与滤波反投影法的比较

Characterization of ordered-subsets expectation maximization with 3D post-reconstruction Gauss filtering and comparison with filtered backprojection in 99mTc SPECT.

作者信息

Brambilla Marco, Cannillo Barbara, Dominietto Marco, Leva Lucia, Secco Chiara, Inglese Eugenio

机构信息

Health Physics Department, Azienda Ospedaliera Maggiore della Carità, Novara, Italy.

出版信息

Ann Nucl Med. 2005 Apr;19(2):75-82. doi: 10.1007/BF03027384.

Abstract

PURPOSE

To characterize ordered-subset expectation maximization algorithm with a fixed 3D Gauss post-reconstruction filtering (OSEM) in 99mTc SPECT as for noise, contrast and spatial resolution with varying number of subset and iteration and to compare OSEM with an optimized set of parameters, with filtered backprojection (FBP) with filter parameters typical of brain and myocardial SPECT, both with and without Chang's method of attenuation correction (AC).

METHODS

SPECT images of a Jaszczak phantom with cold rod inserts, hot and cold spheres and capillary line sources were acquired. Different background activity concentrations of the phantom were simulated as well as different lesion-to-background activity ratios. OSEM reconstructions were halted after 5, 10 and 15 iterations using 4, 8 and 16 subsets.

RESULTS

The effect of subset and iteration number over noise is additive: thus, it is possible to define an EM-equivalent iteration number that indicates the product between the subset and the iteration numbers. Noise increases linearly with increasing EM-equivalent iteration number. For each level of nominal contrast, the measured contrast after OSEM shows a little increase with increasing iteration number and saturates after 80 EM-equivalent iterations. The application of AC leads to diminished contrast values both in FBP and OSEM. The contrast of cold lesions after OSEM increases with increasing number of EM-equivalent iteration number: after 80 iterations the contrast values with OSEM overtake the ones obtained with FBP; contrast values diminished as background concentration raised. Resolution values did not change with increasing EM-equivalent iteration number and were higher than those obtained with FBP.

CONCLUSION

The major findings of the present work are the demonstration of additivity of subset and iteration in OSEM over noise, with the possibility of defining an EM equivalent iteration number, and the superiority of OSEM with respect to FBP in terms of spatial resolution.

摘要

目的

在99mTc单光子发射计算机断层扫描(SPECT)中,采用固定的三维高斯重建后滤波有序子集期望最大化算法(OSEM),研究不同子集数和迭代次数下的噪声、对比度及空间分辨率,并将优化参数后的OSEM与滤波反投影法(FBP)(采用脑和心肌SPECT典型的滤波参数)进行比较,同时比较二者在有无张法衰减校正(AC)情况下的表现。

方法

采集带有冷棒插入物、热球和冷球以及毛细管线源的Jaszczak体模的SPECT图像。模拟了体模不同的背景活性浓度以及不同的病变与背景活性比。使用4、8和16个子集,在5、10和15次迭代后停止OSEM重建。

结果

子集数和迭代次数对噪声的影响是相加的:因此,可以定义一个等效期望最大化迭代次数,它表示子集数和迭代次数的乘积。噪声随等效期望最大化迭代次数的增加呈线性增加。对于每个标称对比度水平,OSEM重建后的实测对比度随迭代次数的增加略有增加,并在80次等效期望最大化迭代后达到饱和。AC的应用导致FBP和OSEM中的对比度值均降低。OSEM重建后冷病变的对比度随等效期望最大化迭代次数的增加而增加:80次迭代后,OSEM的对比度值超过了FBP的对比度值;对比度值随背景浓度的升高而降低。分辨率值不随等效期望最大化迭代次数的增加而变化,且高于FBP获得的分辨率值。

结论

本研究的主要发现是证明了OSEM中子集和迭代对噪声的相加性,以及定义等效期望最大化迭代次数的可能性,并且在空间分辨率方面OSEM优于FBP。

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