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An immediate after-backprojection filtering method with blob-shaped window functions for voxel-based iterative reconstruction

机译：具有块状窗口函数的立即后投影投影方法，用于基于体素的迭代重建

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摘要

Blobs have better resolution-noise performance than voxels because of the overlapping of their rotational symmetric basis functions; however, using blobs is more computationally costly than using voxels due to blob overlap. We propose an immediate after-backprojection filtering method (ABF) with blob-shaped window functions for a voxel-based reconstruction. We compared this method with the general voxel-based method (without filtering), the blob-based method, the voxel-based method with between-iteration filtering (BIF) and with post-filtering (POF), using computer simulations. The reconstruction quality was measured by the contrast recovery coefficient (CRC) versus the background noise. It is shown that the ABF method with blob windows is characterized by less image noise and preserved image contrast in comparison with both the general voxel-based method and the voxel-based method with BIF. When using a standard blob window a = 2.0, alpha = 10.4 and m = 2, the ABF method achieves identical CRC-noise features to the blob-based method with "standard" blobs. In addition, the ABF method can be combined with the POF method to achieve better noise-resolution performance than the general voxel-based POF method. The computational cost of the ABF method is slightly greater than that of the general voxel-based method, but much less than the blob-based method.
机译：斑点具有比旋转像素更好的分辨率-噪声性能，这是因为它们的旋转对称基函数重叠。但是，由于斑点重叠，使用斑点比使用体素在计算上更加昂贵。我们提出一种具有斑点状窗口函数的立即后投影投影方法（ABF），用于基于体素的重建。我们使用计算机模拟，将该方法与基于普通体素的方法（不过滤），基于斑点的方法，具有迭代间过滤（BIF）和后置过滤（POF）的基于体素的方法进行了比较。重建质量是通过对比恢复系数（CRC）与背景噪声的对比来衡量的。结果表明，与常规的基于体素的方法和基于BIF的基于体素的方法相比，具有斑点窗口的ABF方法的特点是图像噪声更少，并且保留了图像对比度。当使用标准blob窗口a = 2.0，alpha = 10.4和m = 2时，ABF方法可实现与具有“标准” blob的基于blob的方法相同的CRC噪声特征。此外，ABF方法可以与POF方法结合使用，以实现比常规基于体素的POF方法更好的噪声分辨率性能。 ABF方法的计算成本比常规的基于体素的方法略高，但比基于斑点的方法要低得多。

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