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Fast hierarchical reprojection algorithms for 3D radon transforms

机译:用于3D don变换的快速分层重投影算法

摘要

A method for reprojecting a 3D image into a 3D Radon sinogram includes the steps of dividing a three-dimensional image into sub-images as small as one voxel and reprojecting the sub-images at a smaller number of orientations to form subsinograms. These sub-sinograms are then successively aggregated and processed to form a full sinogram. The method uses two algorithms to aggregate the sub-sinograms. In one algorithm, the aggregation is exact, and in the other algorithm, aggregation is an approximation, and involves increasing the number of orientations by interpolation. The first algorithm is accurate, but relatively slow, and the second algorithm is faster, but less accurate. By performing some aggregations with the exact algorithm and some aggregations with the approximate algorithm, switching between the two algorithms in one of a number of suitable ways, an accurate result can be obtained quickly.
机译:一种用于将3D图像重新投影为3D Radon正弦图的方法,包括以下步骤:将三维图像划分为与一个体素一样小的子图像,并以较少的方向重新投影子图像以形成子正弦图。然后将这些子正弦图相继聚合并处理以形成完整的正弦图。该方法使用两种算法来聚合子正弦图。在一种算法中,聚合是精确的,而在另一种算法中,聚合是一种近似,并且涉及通过插值增加方向的数量。第一种算法是准确的,但是相对较慢,而第二种算法是更快的,但是准确性较差。通过使用精确算法执行某些聚合,并使用近似算法执行某些聚合,以多种合适的方式之一在两种算法之间切换,可以快速获得准确的结果。

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