利用迭代最大似然算法重构SPECT图像中的噪声传播

Soo Chin Liew, C. F. Ku, B. H. Hasegawa
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引用次数: 0

摘要

通过计算机模拟研究了放射性核素投影数据中的光子噪声和衰减图中的不确定性对使用最大似然期望最大化算法重建的衰减校正SPECT(单光子发射计算机断层扫描)图像噪声的影响。模拟的放射性核素投影数据来自头部幻影,使用的扇形波束几何形状与加州大学旧金山分校正在开发的发射传输(ETCT)系统一致。10次迭代后,感兴趣区域重构像素值的均值(mu)开始收敛,标准差(sigma)随着迭代次数的增加而增大。发现sigma / mu比与总检测计数的平方根成反比,与衰减图中的相对不确定度成正比。这两种噪声分量对重构图像中的噪声独立贡献。在采用x射线管获取衰减图的典型ETCT系统中,重建的放射性核素分布的不确定性主要受到投影数据中的光子噪声的限制。
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Noise propagation in SPECT images reconstructed using an iterative maximum-likelihood algorithm
Computer simulations were performed to investigate the effects of the photon noise in radionuclide projection data and the uncertainty in the attenuation map on the image noise in attenuation-corrected SPECT (single photon emission computed tomography) images reconstructed using a maximum-likelihood expectation-maximization algorithm. Simulated radionuclide projection data from a head phantom were acquired using a fan-beam geometry consistent with the emission-transmission (ETCT) system being developed at the University of California at San Francisco. The mean ( mu ) of the reconstructed pixel values in the region of interest started to converge after 10 iterations and the standard deviation ( sigma ) increased with the number of iterations. The sigma / mu ratio was found to be inversely proportional to the square root of the total detected counts and proportional to the relative uncertainty in the attenuation maps. These two noise components contributed independently towards the noise in the reconstructed image. In a typical ETCT system employing an X-ray tube for attenuation map acquisition, the uncertainty in the reconstructed radionuclide distribution would be limited mainly by photon noise in the projection data.<>
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