摘要： 传统的投影矩阵算法复杂度较高，计算效率低。为此，提出一种基于二维检索的投影矩阵算法。采用类似于矩阵中各元素位置的表示方式，分别用行和列2个维度定位一个投影矩阵的元素，行和列计算较为简单，能够同时进行，从而提高计算效率。运用GATE仿真软件进行图像重建实验，结果表明，与经典的Siddon算法相比，该算法的运算时间可提高6倍以上，并且能够保证重建图像的质量。

关键词: 投影矩阵, 投影系数, GATE软件, 响应线, 图像重建, Siddon算法

Abstract: The traditional projection matrix algorithm is more complicated, and its efficiency is low. For this reason, a new algorithm based on two-dimensional index is proposed. Similar to the position of the each element in a matrix, the element can be located by a row and column. Each row and column can be calculated simply and simultaneously, so the algorithm is more efficient. Experimental result by GATE simulation software shows that the new algorithm is six times faster than classical Siddon algorithm, and the image can be reconstructed well.

Key words: projection matrix, projection coefficient, GATE software, lines of response, image reconstruction, Siddon algorithm

中图分类号: 

• TN911.73