窄角扇束CT仿真投影计算方法

摘要

Narrow fan-beam CT is widely used in industrial field. To study the narrow fan beam computed tomography (CT) reconstruction algorithm and save scanning cost, there needs to carry out simulation of narrow fan-beam CT projection. On the basis of the characteristic of narrow fan-beam CT, we establish formula of narrow fan-beam CT simulation projections. In order to prove the effectiveness of formula of simulation projections, Shepp-Logan model was chosen to conduct simulation and image reconstruction. Results show that the formula of simulation projections is effective and accurate. The method can also be applied to the computation of wide fan beam CT projections.%窄角扇束CT已在工业领域广泛应用.为了研究窄角扇束CT的图像重建算法,节省扫描检测成本,对其进行仿真研究很有必要.在分析窄角扇束CT扫描特点的基础上,推导建立窄角扇束CT仿真投影计算公式.为了验证仿真投影计算的准确性,对 Shepp-Logan 头部模型进行仿真投影计算和图像重建,重建结果验证了仿真投影计算公式的有效性和准确性.该方法还可以应用到广角扇束CT的仿真投影计算中.