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简单自相关代数迭代重建算法
引用本文:宋一中,胡国英,贺安之.简单自相关代数迭代重建算法[J].光谱学与光谱分析,2006,26(12):2364-2367.
作者姓名:宋一中  胡国英  贺安之
作者单位:1. 南京理工大学理学院信息物理与工程系,江苏,南京,210094;德州学院物理系,山东,德州,253000
2. 烟台大学光电信息科学与技术学院,山东,烟台,264000
3. 南京理工大学理学院信息物理与工程系,江苏,南京,210094
基金项目:中国博士后科学基金 , 国家自然科学基金 , 山东省科技发展基金
摘    要:创建了简单自相关代数迭代重建算法(simple self-correlative algebraic reconstruction technique,SSCART),分析了其重建效果.采用数值模拟的方法,对代数迭代法(algebraic reconstruction techique,ART)与SSCART两种算法进行了计算机模拟,分析了模拟效果和重建精度.结果发现,SSCART算法的重建精度均方误差(mean square error,MSE)指标在10-4数量级上比ART的降低了65%(ART的MSE值-SSCART的MSE)/ART的MSE],峰值相对误差(peak error,PE)指标在10-2数量级上降低了99.9%.计算上仅仅比ART多1个除数因子,所以SSCART具有算法简单、易于实现、重建精度高、稳定性好等优点.就作者检索的文献看是目前最优秀的代数迭代法.

关 键 词:数值模拟  重建精度  误差分析  代数迭代法  光学层析
文章编号:1000-0593(2006)12-2364-04
收稿时间:2005-05-12
修稿时间:2005-08-16

Simple Self-Correlative Algebraic Reconstruction Technique
SONG Yi-zhong, HU Guo-ying, HE Anzhi.Simple Self-Correlative Algebraic Reconstruction Technique[J].Spectroscopy and Spectral Analysis,2006,26(12):2364-2367.
Authors:SONG Yi-zhong  HU Guo-ying  HE Anzhi
Institution:1. Department of Information Physics and Engineering, Science Institute, Nanjing University of Science and Technology, Nanjing 210094, China; 2. Department of Physics, Dezhou University, Dezhou 253000, China 3. Institute of Science and Technology for Opto-electronic Information, Yantai University, Yantai 264000, China
Abstract:A new improvement was brought forward in algebraic reconstruction technique(ART),named simple self-correlative algebraic reconstruction technique(SSCART), and its reconstructive result was discussed in detail.With numerical simulation technique,both ART and SSCART were numerically simulated with computer,and discussed in terms of simulated result and reconstructive accuracy with error indexes such as mean-square error(MSE),absolute value error(AVE) and peak error(PE).As a result,the accuracy of SSCART was markedly improved.Its MSE was decreased sixty-five percent compared to that of ART(the difference between MSE of ART and that of SSCART divided by the MSE of ART) at the level of 10~(-4) magnitude,and PE decreased ninety-nine point nine percent at the level of 10~(-2) magnitude.The iterating program of SSCART was not a new program to ART,but only a simple factor was added to.SSCART was considered a superior reconstruction technique with many good virtues such as simple iterating program,persistent convergent iterating process,and high reconstructive accuracy.It is the most superior iterating reconstruction technique in current ARTs to our knowledge.
Keywords:Numerical simulation  Reconstructive accuracy  Error analysis  Algebraic reconstruction technique  Optical computerized tomography
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