一种通用的X射线锥形束投影生成算法

为了排除投影测量过程中的随机因素，更好地进行重建，提出了一种通用的X射线锥形束投影生成算法。首先将几何模型离散化为三维数组，然后沿着穿过模型的每条射线利用三维性插值法计算线积分，只要将几何形体进行离散化，就可以使用通用的子程序计算投影。这种算法不仅易于扩充，而且能够处理不规则和内部密度不均匀的物体。模拟实验得到了满意的结果。该算法为后续的重建提供了良好的基础。

Generalized Algorithm for X-Ray Projections Generation in Cone-Beam Tomography

In order to get rid of random factors in the measurement so as to support proceeding 3D reconstruction, a general approach is presented to obtain the X ray projections in cone beam tomography. The phantom is firstly discretized into cubic volume through inverse transformation then a generalized projection procedure is proposed to the digitized result without concerning what the phantom exactly is. In the second step, line integrals are calculated to obtain the projection of each X ray through accumulation of tri linear interpolation. Considering projection angles, a rotation matrix is proposed to the X ray source and the detector plane so projections in arbitray angles can be got. In this approach the algorithm is easy to be extended and irregular objects can also be processed. The algorithm is implemented in Visual C++ and experiments are done using different models. Satisfactory results are obtained. It makes good preparation for the proceeding reconstruction.