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

研究了一种基于局部重建定理的三维ct方法。该方法利用奇异值分解和小波采样模型对象，快速、广泛地从少量投影重建三维图像。在该研究中，我们引入了Mayer小波采样模型，并为三维模型对象的每个体素设置了一个局部域，然后利用每个局部域上的局部重建定理在三维模型对象的每个体素的中心计算一个体素值。首先，研究了一种基于奇异值分解的三维图像重构算法。基于该算法的小型计算机仿真重建实验取得了良好的结果。在多个重构参数之间得到了良好的条件。其次，基于局部重建算法进行了大尺寸重建计算机模拟实验，成功实现了17个投影的三维成像。几次实验清楚地表明，这种重建方法有可能进入实际应用。

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.