基于FDK算法减小误差的研究

Investigations into Error Reduction Based FDK Algorithms

摘要: 本文介绍了一个重建误差和扫描半径之间的关系,并在此关系的基础上提出了一种新的基于不同半径的两个同心圆轨道的算法,利用估算的重建误差改善重建结果。随后进行了数值仿真实验。通过数值模拟实验评价了此算法的性能,结果表明新的算法能比已有的同类算法更好地估计重建误差,从而获得更精确的重建结果,在锥角≤±10°时都能获得相当好的重建结果,在锥角更大时也能起到很好的改善作用。最后本文讨论了此类算法的局限性。

Abstract: In this paper, we describe the relationship between the reconstruction error and the locus radius. Based on this relationship we fomulate our new algorithm. Numerical simulations are done to evalute its performance and show that the new algorithm can get more accurate reconstruction than algorithms of the same kind Finally, we discuss the shortcomings of this kind of algorithms.