Fundamentals of three-dimensional reconstruction from projections.
Fundamentals of three-dimensional reconstruction from projections.
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DOI：
10.1016/s0076-6879(10)82001-4
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发表时间：
2010
影响因子：
--
通讯作者：
Penczek, Pawel A.
中科院分区：
文献类型：
--
作者：
Penczek, Pawel A.
从物体的二维线投影集对物体质量密度进行三维重建是单粒子重建技术和电子断层扫描技术的核心。这两种技术都利用电子显微镜来收集一组投影，这些投影要么是原则上以分离形式表示相同大分子复合物的多个物体，要么是原位分离的亚细胞结构。因此，大分子电子显微镜可以看作是一个反投影变换的问题，以恢复原物体的质量密度分布。这个问题的有趣之处在于它的离散形式是不适定和不可逆的。已经提出了各种算法来应对这种反演问题的实际困难，它们在数据噪声方面的鲁棒性，收集的投影数据集的完整性，投影方向参数的误差，有效处理大数据集的能力以及分子电子显微镜中通常遇到的其他障碍方面存在很大差异。在这里，我们回顾了从线投影三维重建的理论基础，然后概述了在电子显微镜实践中经常使用的重建算法。
Three-dimensional reconstruction of an object mass density from the set of its two-dimensional line projections lies at a core of both single-particle reconstruction technique and electron tomography. Both techniques utilize electron microscope to collect a set of projections of either multiple objects representing in principle the same macromolecular complex in an isolated form, or a subcellular structure isolated in situ. Therefore, macromolecular electron microscopy can be seen as a problem of inverting projection transformation to recover the distribution of the mass density of the original object. The problem is interesting in that in its discrete form it is ill-posed and not invertible. Various algorithms have been proposed to cope with the practical difficulties of this inversion problem and their differ widely in terms of their robustness with respect to noise in the data, completeness of the collected projection data set, errors in projections’ orientation parameters, abilities to efficiently handle large data sets, and other obstacles typically encountered in molecular electron microscopy. Here, we review the theoretical foundations of three-dimensional reconstruction from line projections followed by an overview of reconstruction algorithms routinely used in practice of electron microscopy.