Noise and resolution of Bayesian reconstruction for multiple image configurations

G. Chinn, S. Huang
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引用次数: 16

Abstract

Images reconstructed by Bayesian and maximum-likelihood (ML) using a Gibbs prior with prior weight beta were compared to images produced by filtered backpropagation (FBP) from sinogram data simulated with different counts and image configurations, Bayesian images were generated by the OSL algorithm accelerated by an overrelaxation parameter and modified by a simple averaging procedure to dampen instabilities caused by acceleration. For relatively low beta , Bayesian images can yield an overall improvement of the images compared to ML. However, for larger beta , Bayesian images degrade from the standpoint of noise and quantitation. Compared to FBP, the ML images were superior in a mean-square error sense in regions of low activity level and for small structures. Bayesian reconstruction can recover resolution without sacrificing noise performance and is dependent on the image structure and the weight of the Bayesian prior.<>
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多图像配置贝叶斯重构的噪声与分辨率
利用Gibbs先验和最大似然(ML)重建的图像与利用滤波后的反向传播(FBP)从不同计数和图像配置的正弦图数据中获得的图像进行了比较,贝叶斯图像由OSL算法生成,由超松弛参数加速,并通过简单的平均程序进行修改,以抑制加速度引起的不稳定性。对于相对较低的beta,贝叶斯图像可以产生与ML相比的图像的整体改进。然而,对于较大的beta,贝叶斯图像从噪声和量化的角度来看会下降。与FBP相比,ML图像在低活动水平区域和小结构区域的均方误差意义上优于FBP。贝叶斯重建可以在不牺牲噪声性能的情况下恢复分辨率,并且依赖于图像结构和贝叶斯先验的权重。
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