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Rotating Projection Algorithm for Computer Tomography of Discrete Structures

机译：离散结构计算机层析成像的旋转投影算法

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摘要

Traditional computer tomography requires scanning the object to obtain a lot of projections. Then the image reconstruction is realized on the base of some mathematical model that corresponds to the concrete physical field producing this tomography. For example, in the X-rays tomography the inversion of the Radon transform is used. It seems necessary for difficult structures and can be realized in sufficiently fast manner. We consider in this paper the situation, when the investigating object has the "Discrete Structure", so its reconstruction consists only in localization of some point-wise elements with different characteristic inside of the homogeneous (or quasi homogeneous) substance in the considered region. We propose for this case the Rotating Projection algorithm with a little number of scanning angles. This algorithm do not requires application of some inverse transforms. It simplifies the image reconstruction. Proposed approach is faster in its computer realization, gives possibility to reduce the time of the radiation treatment. The good properties of the developed algorithm are demonstrated on simulated numerical examples.
机译：传统的计算机断层扫描需要扫描对象以获得大量投影。然后，在对应于产生该断层摄影的具体物理场的一些数学模型的基础上，实现图像重建。例如，在X射线断层扫描中，使用了Radon变换的反演。似乎对于困难的结构是必要的，并且可以以足够快的方式实现。我们在本文中考虑的情况是，当调查对象具有“离散结构”时，因此其重构仅在于将某些具有不同特征的点状元素定位在所考虑区域的均质（或准均质）物质内部。对于这种情况，我们提出了具有少量扫描角度的旋转投影算法。该算法不需要应用一些逆变换。它简化了图像重建。所提出的方法在其计算机实现中更快，为减少放射治疗时间提供了可能性。仿真数值实例证明了该算法的良好性能。

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