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一种少投影光学层析新算法及其应用

A Novel Limited-View Tomography Algorithm Based on Maximum Entropy and Its Appl ication

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摘要

研究少投影数情况下等离子体温度场重建问题。结合光学层析重建算法及等离子体光谱诊断中的谱线绝对强度法进行自由电弧等离子体温度场重建实验。理论上,详细讨论了一种基于最大熵准则及最优化原理的光学层析图像重建新算法。通过计算机数值模拟,考察了该算法对非对称温度场分布的重建效果。详细分析了投影噪声、投影方向数、场分布性质对重建精度的影响,并与代数迭代重建算法结果进行对比.结果表明,该算法以两个正交方向投影数据重建单峰余弦模拟场平均误差仅为0.03%,而代数迭代重建算法为3.81%;该算法以四个均匀角度间隔投影数据重建三峰随机高斯模拟场平均误差为1.77%,而代数迭代重建算法为2.02%。实验中,运用该算法结合谱线绝对强度法重建了自由电弧等离子体的温度分布。

Abstract

The reconstruction problem of temperature field of plasma with limited-view data is studied. The reconstruction experiment of the arc plasma tempreture is fulfilled combining the optical computed tomography with the absolute spectral intensity method in the plasma diagnosis. An optical computed tomography algorithm based on maximum entropy and optimization is discussed in detail theoretically. Its reconstruction results for asymmetrical temperature field with the simulation computation are studied. The effects of noise, view numbers and distribution are analyzed and this algorithm is compared with ART algorithm. The results show the average error of the new algorithm is 0.03% and that of ART is 1.77% with the data of two orthogonal views.The average error of the new algorithm is 1.77% and that of ART is 2.02% with the data of four space evenly views. As a measurement sample, an arc temperature field with spectrum method is reconstructed.

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中图分类号:TN2

所属栏目:傅里叶光学与光信号处理

基金项目:中国航空科学基金(00I56004)及江西省测控工程研究中心基金(KG200104002)资助课题。

收稿日期:2002-07-29

修改稿日期:2002-12-26

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作者单位    点击查看

万雄:南京航空航天大学自动化学院, 南京 210016南昌航空工业学院测控系, 南昌 330034
何兴道:南昌航空工业学院测控系, 南昌 330034
高益庆:南昌航空工业学院测控系, 南昌 330034

联系人作者:万雄(wangxiong1@163.net)

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【9】Wan Xiong, Gao Yiqing et al.. 3-D flame temperature field reconstruction with multiobjective neural network. Chin. Opt. Lett., 2003, 1(2):78~81

【10】Gao Yiqing. 3-D Phase object reconstruction using beam-deflection iterative tomography. Chin. J. Lasers, 1996, B5(2):150~156

【11】Gao Yiqing. Reconstruction of 3-D refractive index fields with an opaque object by Radon transform iteration. Chin. J. Lasers(中国激光), 1995, A22(1): 49~54(in Chinese)

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