Reconstructing non-ideal-bordered field by simple self-correlative algebraic reconstruction technique

A new algorithm for iterative reconstruction is suggested.It is named simple self-correlative algebraic reconstruction technique (SSART).With numerical simulation experiments,SSART was applied in reconstructing a non-ideal-bordered field in order to test its reconstructive effect.For contrast,three current representative algebraic reconstruction(ARTs) including basic ART,simultaneous ART (SART) and modified SART (MSART) were simulated simultaneously.The calculated results and reconstructive accuracy are discussed with three kinds of error indexes,namely mean-square error (MSE),absolute value error (AVE) and peak error (PE).As the results,the indexes of reconstructive accuracy are much improved by the proposed SSART.The MSE and PE have been decreased by 63.6% on the order of magnitude 10-4 and 88.9% on the order of magnitude 0-2,respectively,compared to that of ART.It is concluded that SSART is one of the most super iterative reconstructing techniques.

复杂流场的代数迭代重建算法

提出了简单自相关代数迭代重建算法(SSART)。采用数值模拟的方法,对当前有代表性的基本代数迭代法(ART)、联合代数迭代法(SART)、改进的联合代数迭代法(MSART)以及SSART进行了计算模拟,对比分析了各种算法的模拟效果和重建精度。结果发现,SSART的均方误差(MSE)在10-4数量级,比ART的降低了78.2%;峰值相对误差(PE)在10-2,降低了92.9%;计算程序上,SSART仅比ART多1个除数因子。所以SSART具有算法简单、重建精度高、稳定性好和自愈能力强等优点。