A 3D-CT METHOD BASED ON LOCAL RECONSTRUCTION THEOREM..

本研究是关于发展一种基于局部重建定理的3D-CT方法。该方法利用奇异值分解和Waveles采样模型对象，从少量投影重建三维图像，具有速度快、范围广的优点，在研究中，我们引入了Mayer Waveles采样模型，并为三维模型对象的每个体素设置了一个局部区域，然后利用每个局部域上的局部重建定理计算三维模型物体每个体素中心的一个体素值，研究了一种利用奇异值分解重建三维图像的新算法。基于该算法的计算机仿真重构小规模实验结果良好。我们得到了许多重建参数之间的良好条件。第二，基于局部重建算法进行了大尺寸重建的计算机模拟实验，成功地实现了17个投影的三维成像。几个实验表明，有可能的重建方法将进入实际使用。

The study is concerned with developing a 3D-CT method based on the local reconstruction theorem. The point of this method is fast and wide to reconstruct 3D images from a few projections, using the Singular Value Decompositions and the Waveles sampling model object.In the study, we introduce a Mayer Wavelets sampling model and set a local domain for each voxel of 3D model object, and then we calculate a voxel value in the center of each voxel of 3D model object by using the local reconstruction theoremon on each local domain.The first, we investigated a new algorithm for reconstructing 3D image by using SVD. The results of small scale experiments of reconstructing computer simulation based on the algorithm were good. We obtained good conditions between many reconstructing parameters. The second, we experimented with big size reconstructing computer simulation based on the local reconstruction algorithm, and succeeded in 3D imaging from 17 projections. Several experiments made it obvious that there is a possibility that the reconstruction method will come into practical use.