一种确定三维锥束CT精确重建域的方法

Method to identify the exact reconstruction region of 3D cone beam CT

三维锥束 CT精确重建是近几年图像重建领域的研究热点 ,完全条件、源点轨迹和重建方法是精确重建的主要研究内容。在已知源点轨迹形状和尺寸的情况下 ,确定物体精确重建的区域 ,是一个在实际应用中需要解决的重要问题。基于 3 D Radon变换的性质和三维锥束 CT精确图像重建的一般公式 ,提出了一种在锥束源点轨迹给出之后确定物体精确重建域 ( ERR)的方法——“Radon壳图解法”。该方法使原有分析复杂轨迹 ERR的工作大大简化 ,且更加直观、有效 ,使精确重建方法向实际应用又前进了一步。

D cone beam CT exact reconstruction is one of the most active parts in the field of image reconstruction. Its important parts include the completeness condition, the source orbits and the reconstruction methods. When the shape and size of the source orbits are given, the exact reconstruction region can not be easily identified. This paper presented a new method, the Radon shell graphic method, it was based on the property of Radon transform and the general formula for the exact 3D CT image reconstruction from the cone beam projection. The method could intuitively identify and effectively analyze exact reconstruction region (ERR) of a 3D object when given the various complex source orbits. This work facilitates the practical applications of 3D cone beam CT exact reconstruction.