CT图像重建滤波反投影析算法的精度研究

Precision of CT Image Reconstruction Filtered Back-projection Analysis Algorithm

CT是常被用于医学和工业领域的计算机断层成像技术,这是一种优质无损诊断技术,即利用投影数据重建物体断层图像。对于精密部件的检测在图像重建无损检测应用中需要有更高的精度要求,CT应用中期待解决的关键问题是怎么样能直接重建出满足工程目标的CT图像。本文就系统地深入地研究了解析式图像重建算法的精度。在重建算法中滤波反投影(FBP)算法是解析法的根本,所以本文以该算法的实现,利用定积分数值计算方法,根据反投影的特点,提出了基于辛普生公式的精确反投影方法。

Abstract： CT（Computed Tomography） is a high quality of medicine and industrial non-destructive diagnostic technology and its essence is the use of CT image reconstruction object projection data. In non-destructive testing applications, the detection of preci- sion components for image reconstruction proposed higher accuracy requirements, how to directly meet the project target of CT im- age reconstruction is the key to the CT applications expect to solve the problem. The parsing algorithm is a CT image reconstruction algorithm widely used measure of reconstruction algorithm. In this paper, the precision of the analytical formula of image recon- struction algorithm expand the depth and systematic study. The filter back projection （FBP） algorithm is the basis of analytical meth- od. According to the characteristics of the projection, the paper which Uses numerical calculation method of definite integral was proposed based on Simpson formula precision back projection method.