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Technical Note: Algebraic iterative image reconstruction using a cylindrical image grid for tetrahedron beam computed tomography

机译：技术说明：使用圆柱图像网格进行四面体束计算机层析成像的代数迭代图像重建

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>Purpose: To accelerate iterative algebraic reconstruction algorithms using a cylindrical image grid.>Methods: Tetrahedron beam computed tomography (TBCT) is designed to overcome the scatter and detector problems of cone beam computed tomography (CBCT). Iterative algebraic reconstruction algorithms have been shown to mitigate approximate reconstruction artifacts that appear at large cone angles, but clinical implementation is limited by their high computational cost. In this study, a cylindrical voxelization method on a cylindrical grid is developed in order to take advantage of the symmetries of the cylindrical geometry. The cylindrical geometry is a natural fit for the circular scanning trajectory employed in volumetric CT methods such as CBCT and TBCT. This method was implemented in combination with the simultaneous algebraic reconstruction technique (SART). Both two- and three-dimensional numerical phantoms as well as a patient CT image were utilized to generate the projection sets used for reconstruction. The reconstructed images were compared to the original phantoms using a set of three figures of merit (FOM).>Results: The cylindrical voxelization on a cylindrical reconstruction grid was successfully implemented in combination with the SART reconstruction algorithm. The FOM results showed that the cylindrical reconstructions were able to maintain the accuracy of the Cartesian reconstructions. In three dimensions, the cylindrical method provided better accuracy than the Cartesian methods. At the same time, the cylindrical method was able to provide a speedup factor of approximately 40 while also reducing the system matrix storage size by 2 orders of magnitude.>Conclusions: TBCT image reconstruction using a cylindrical image grid was able to provide a significant improvement in the reconstruction time and a more compact system matrix for storage on the hard drive and in memory while maintaining the image quality provided by the Cartesian voxelization on a Cartesian grid.
机译：>目的：为加速使用圆柱图像网格的迭代代数重建算法。>方法：四面体束计算机断层扫描（TBCT）旨在解决锥束计算机散射和检测器问题断层扫描（CBCT）。迭代代数重建算法已显示出可缓解出现在大锥角处的近似重建伪像，但临床实施受到其高计算成本的限制。在这项研究中，开发了一种在圆柱网格上的圆柱体素化方法，以利用圆柱几何形状的对称性。圆柱几何形状自然适合于体积CT方法（例如CBCT和TBCT）中采用的圆形扫描轨迹。该方法与同时代数重构技术（SART）结合实现。二维和三维数字体模以及患者CT图像均用于生成用于重建的投影集。使用一组三个品质因数（FOM）将重建的图像与原始体模进行比较。>结果：成功地结合SART重建算法在圆柱体重建网格上实现了圆柱体素化。 FOM结果表明，圆柱重建能够保持笛卡尔重建的准确性。在三个维度上，圆柱方法比笛卡尔方法具有更高的精度。同时，圆柱方法能够提供大约40的加速因子，同时还可以将系统矩阵存储大小减小2个数量级。>结论：使用圆柱图像网格重建TBCT图像是能够显着改善重建时间并提供更紧凑的系统矩阵，以存储在硬盘驱动器和内存中，同时保持笛卡尔网格上的笛卡尔体素化提供的图像质量。

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