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Towards Clinical Application of a Laplace Operator-Based Region of Interest Reconstruction Algorithm in C-Arm CT

机译:面向拉普拉斯算子的感兴趣区域重构算法在C型臂CT中的临床应用

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摘要

It is known that a reduction of the field-of-view in 3-D X-ray imaging is proportional to a reduction in radiation dose. The resulting truncation, however, is incompatible with conventional reconstruction algorithms. Recently, a novel method for region of interest reconstruction that uses neither prior knowledge nor extrapolation has been published, named approximated truncation robust algorithm for computed tomography (ATRACT). It is based on a decomposition of the standard ramp filter into a 2-D Laplace filtering and a 2-D Radon-based residual filtering step. In this paper, we present two variants of the original ATRACT. One is based on expressing the residual filter as an efficient 2-D convolution with an analytically derived kernel. The second variant is to apply ATRACT in 1-D to further reduce computational complexity. The proposed algorithms were evaluated by using a reconstruction benchmark, as well as two clinical data sets. The results are encouraging since the proposed algorithms achieve a speed-up factor of up to 245 compared to the 2-D Radon-based ATRACT. Reconstructions of high accuracy are obtained, e.g., even real-data reconstruction in the presence of severe truncation achieve a relative root mean square error of as little as 0.92% with respect to nontruncated data.
机译:已知3-D X射线成像中视场的减小与辐射剂量的减小成比例。但是,结果截断与常规重建算法不兼容。最近,已经发布了一种既不使用先验知识也不使用外推法的感兴趣区域重建的新方法,称为用于计算机断层摄影的近似截断鲁棒算法(ATRACT)。它基于将标准斜坡滤波器分解为二维拉普拉斯滤波和基于二维Radon的残差滤波步骤的过程。在本文中,我们介绍了原始ATRACT的两个变体。一种基于将残差滤波器表示为具有解析派生内核的有效2-D卷积。第二种变形是将ATRACT用于一维,以进一步降低计算复杂度。通过使用重建基准以及两个临床数据集对提出的算法进行了评估。结果令人鼓舞,因为与基于2 Radon的ATRACT相比,所提出的算法可实现高达245的加速因子。获得了高精度的重建,例如,即使在存在严重截断的情况下进行实数据重建,相对于非截断数据,其相对均方根误差也仅为0.92%。

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