matlab离散正弦代码-CUMCM-2017:2017数模国赛A题成果

上传者: 38653878 | 上传时间: 2021-08-08 21:10:12 | 文件大小: 14.74MB | 文件类型: ZIP
matlab离散正弦代码 基于 Radon 变换及其反投影逆过程的 CT 影像重建⽅案与单⽬标投影参数标定优化 2017 年全国大学生数学建模竞赛 A 题成果。与 @lyx988、@Lee-faner 合力完成。 摘要 CT (Computed Tomography) 可以在不破坏样品的情况下,利⽤样品对射线能量的吸收特性对⽣物组织和⼯程材料的样品进⾏断层成像,由此获取样品内部的结构信息。在该问题给定条件下,平⾏⼊射的 X 线垂直于探测器平⾯,整个发射-接收系统绕某固定的旋转中⼼逆时针旋转 180 次。对每⼀个 X 射线⽅向,在具有 512 个等距单元的探测器上测量经位置固定不动的⼆维待检测介质吸收衰减后的射线能量,并经过增益等处理后得到 180 组接收信息。 对于问题⼀,在 CT 系统标定参数未知的情况下,我们需要通过给定的投影数据来确定 CT 系统旋转中⼼在正⽅形托盘中的位置、探测器单元之间的距离以及该 CT 系统使⽤的 X 射线的 180 个⽅向。由 Lambert-Beer 定律对给定数据进⾏处理得到实际透射厚度,然后我们先利⽤⼩圆与射线的关系得到各探测单元间的距离,再采⽤解析

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