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首页> 外文期刊>IEEE Transactions on Medical Imaging >Weighted backprojection approach to cone beam 3D projection reconstruction for truncated spherical detection geometry
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Weighted backprojection approach to cone beam 3D projection reconstruction for truncated spherical detection geometry

机译:截头球形检测几何的加权反投影锥束3D投影重建方法

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摘要

A new analytical three-dimensional cone beam reconstruction algorithm is presented for truncated spherical detection geometry. The basic idea of the proposed algorithm is the formation of spatially invariant 3D blurred back-projected volumetric image by the use of the weighted backprojection of cone beam projection data and subsequent 3D filtering using an acceptance angle dependent /spl rho/ filter. The backprojection weighting function is calculated on the basis of each given geometrical condition, i.e. detection geometry or degree of truncation, position of cone beam apex, and backprojection point. The proposed algorithm is derived analytically and is computationally efficient. Performance of the algorithm is evaluated by the reconstruction of 3D volumetric images using simulated data from arbitrarily truncated spherical detector geometries.
机译:提出了一种用于截断球面检测几何的新型解析三维锥束重建算法。所提出算法的基本思想是通过使用锥形束投影数据的加权反投影以及随后使用依赖于接收角度的/ spl rho /滤波器进行的3D滤波来形成空间不变的3D模糊反投影体积图像。反投影加权函数是根据每个给定的几何条件(即检测几何形状或截断程度,锥束顶点的位置和反投影点)计算的。所提出的算法是解析得出的,并且计算效率高。通过使用来自任意截断的球形探测器几何形状的模拟数据重建3D体积图像来评估算法的性能。

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