Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction.
Efficient Bandwidth Estimation in 2D Filtered Backprojection Reconstruction.
复制标题
二维滤波反投影重建中的高效带宽估计。
DOI：
10.1109/tip.2019.2919428
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Maitra,Ranjan
中科院分区：
文献类型：
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作者：
Maitra,Ranjan
提出了一种广义交叉验证方法来估计二维滤波反投影中的重建滤波器带宽。该方法写的重建方程在等效的反投影滤波的形式，推导出对称的2D循环矩阵的特征分解的结果，并将它们应用于标准的反投影滤波重建的上下文中，使带宽估计的计算效率高的操作。一系列模拟发射断层扫描实验的性能评价给出了可喜的结果。上级性能保持在低和高的总预期计数，指出该方法的适用性，即使在弱信号噪声比的情况下。该方法也适用于更一般的椭圆对称滤波器类，重建估计的性能往往甚至优于真正的最佳径向对称滤波器。
A generalized cross-validation approach to estimate the reconstruction filter bandwidth in 2D filtered backprojection is presented. The method writes the reconstruction equation in equivalent backprojected filtering form, derives results on eigendecomposition of symmetric 2D circulant matrices, and applies them to make bandwidth estimation a computationally efficient operation within the context of standard backprojected filtering reconstruction. Performance evaluations on a range of simulated emission tomography experiments give promising results. The superior performance holds at both low and high total expected counts, pointing to the method’s applicability even in weak signal-to-noise-ratio situations. The approach also applies to the more general class of elliptically symmetric filters, with the reconstructed estimate’s performance often better than even that obtained with the true optimal radially symmetric filter.