On Image Reconstruction from a Small Number of Projections.
On Image Reconstruction from a Small Number of Projections.
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DOI：
10.1088/0266-5611/24/4/045011
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发表时间：
2008-08
期刊：
影响因子：
2.1
通讯作者：
Davidi R
中科院分区：
文献类型：
--
作者：
Herman GT;Davidi R
从投影重建图像有一个固有的困难：存在在任意有限个方向上具有相同投影的不同图像。然而，通过识别可能出现在应用区域中的图像的类型，人们可以设计出即使在投影数量较小时也可能在该区域中有效的算法。其中一种方法是使用总偏差最小化。我们报告了一种基于这种方法的算法，并表明有时它会在计算机断层扫描(CT)中产生医学上所需的重建，即使是从少量的投影。然而，我们也证明，这样的重建不能保证提供与医学相关的信息：当由实际的CT扫描仪为少量投影收集数据时，这些数据中的噪声很可能导致在重建中看不到大脑中的肿瘤。
Image reconstruction from projections suffers from an inherent difficulty: there are different images that have identical projections in any finite number of directions. However, by identifying the type of image that is likely to occur in an application area, one can design algorithms that may be efficacious in that area even when the number of projections is small. One such approach uses total variation minimization. We report on an algorithm based on this approach, and show that sometimes it produces medically-desirable reconstructions in computerized tomography (CT) even from a small number of projections. However, we also demonstrate that such a reconstruction is not guaranteed to provide the medically-relevant information: when data are collected by an actually CT scanner for a small number projections, the noise in such data may very well result in a tumor in the brain not being visible in the reconstruction.
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影响因子：
4
作者：
RUDIN, LI;OSHER, S;FATEMI, E
通讯作者：
FATEMI, E
影响因子：
2.6
作者：
HOUNDFIELD, GN
通讯作者：
HOUNDFIELD, GN
影响因子：
2.5
作者：
Candès, EJ;Romberg, J;Tao, T
通讯作者：
Tao, T
影响因子：
22.7
作者：
GORDON, R;HERMAN, GT
通讯作者：
HERMAN, GT
影响因子：
0.8
作者：
Aharoni, R;Herman, GT;Kuba, A
通讯作者：
Kuba, A