论文标题

平面编码的孔径成像重建方法的定量比较

Quantitative Comparison of Planar Coded Aperture Imaging Reconstruction Methods

论文作者

Meißner, T., Rozhkov, V., Hesser, J., Nahm, W., Loew, N.

论文摘要

放射性资源的成像分布在核医学以及监测核废料及其沉积物中起着重要作用。已提出编码的孔径成像作为并行或针孔准直仪的替代方法,但需要图像重建作为额外的步骤。已经提出了多种具有不同运行时间和计算复杂性的重建方法。但是,到目前为止,尚未进行不同重建方法之间的定量比较。本文重点介绍了基于三组热杆幻象图像的比较,该图像由实验性伽马相机捕获,该图像由基于钨的基于钨的MURA蒙版和2mm厚的256x256像素化的CDTE半导体检测器,并耦合到TimePix读取电路。将分析重建方法,MURA解码,Wiener滤波器和卷积最大似然期望最大化(MLEM)算法与数据驱动的卷积编码器(CED)方法进行了比较。该比较基于对比度比率,因为它先前已用于评估重建质量。对于给定的设置,Mura解码是最常用的CAI重建方法,尽管假设是线性模型,但仍提供了可靠的重建。但是,对于单图像重建,MLEM在分析重建方法中表现最好,但平均运行时间为13s。最快的重建方法是具有67ms和中等质量的Wiener过滤器。带有特殊量身定制的训练组的CED能够成功地将最常用的Mura解码成功地介于1.37至2.60之间,运行时间约为300ms。

Imaging distributions of radioactive sources plays a substantial role in nuclear medicine as well as in monitoring nuclear waste and its deposit. Coded Aperture Imaging has been proposed as an alternative to parallel or pinhole collimators, but requires image reconstruction as an extra step. Multiple reconstruction methods with varying run time and computational complexity have been proposed. Yet, no quantitative comparison between the different reconstruction methods has been carried out so far. This paper focuses on a comparison based on three sets of hot-rod phantom images captured with an experimental Gamma-camera consisting of a Tungsten-based MURA mask with a 2mm thick 256x256 pixelated CdTe semiconductor detector coupled to a Timepix readout circuit. Analytical reconstruction methods, MURA Decoding, Wiener Filter and a convolutional Maximum Likelihood Expectation Maximization (MLEM) algorithm were compared to data-driven Convolutional Encoder-Decoder (CED) approaches. The comparison is based on the contrast-to-noise ratio as it has been previously used to assess reconstruction quality. For the given set-up, MURA Decoding, the most commonly used CAI reconstruction method, provides robust reconstructions despite the assumption of a linear model. For single image reconstruction, however, MLEM performed best among analytical reconstruction methods, but took the longest with an average of 13s run time. The fastest reconstruction method is the Wiener Filter with 67ms and mediocre quality. The CED with a specifically tailored training set was able to succeed the most commonly used MURA decoding on average by a factor between 1.37 and 2.60 and a run time of around 300ms.

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