Reconstruction in the three-dimensional parallel scanning geometry with application in synchrotron-based x-ray tomography
Reconstruction in the three-dimensional parallel scanning geometry with application in synchrotron-based x-ray tomography
复制标题
三维平行扫描几何结构重建及其在同步加速器X射线断层摄影中的应用
DOI：
10.1088/0266-5611/28/4/045013
复制
发表时间：
2012
期刊：
影响因子：
2.1
通讯作者：
A. Louis
中科院分区：
文献类型：
--
作者：
B. Hahn;A. Louis
在三维平行扫描几何结构中的常见重建方法，例如发生在基于同步加速器的X射线层析成像中，使用LayerWise 2D过程。在通过这些层之间的内插获得3D可视化之前，通过2D方法重建被研究对象的有限数量的层。本文提出了一种平行扫描几何图形的全三维重建算法。它允许我们直接计算任意切片甚至完整的3D密度函数，而不会引起任何内插误差。此外，3D方法能够快速而稳定地结合重建和图像分析步骤来提取被调查对象的特征，例如用于精明边缘检测器的导数。对实际数据的应用表明了该方法的稳定性和良好的正则性。
Common reconstruction approaches in the three-dimensional parallel scanning geometry, that occurs for example in synchrotron-based x-ray tomography, use layerwise 2D procedures. A finite number of layers of the investigated object are reconstructed by a 2D method, before a 3D visualization is obtained by interpolation between these layers. In this paper, a fully three-dimensional reconstruction algorithm for the parallel scanning geometry is presented. It allows us to calculate arbitrary slices or even the complete 3D density function directly without causing any interpolation errors. Furthermore, the 3D method enables the fast and stable combination of reconstruction and image analysis step to extract features of the investigated object, for example, derivatives used in canny edge detectors. The application to real data illustrates the stability and advantageous regularization properties of the new approach.