光学学报, 2019, 39 (7): 0707001, 网络出版: 2019-07-16 复制并引用该论文  本文已被引 4 次  被引通知

图 & 表

图 1. 重建模型

Fig. 1. Reconstruction model

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图 2. (a)光路布置方式与(b)单峰气体浓度场

Fig. 2. (a) Light path arrangement and (b) single-peak gas concentration field

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图 3. 松弛因子α对重建结果的影响。(a)对逼近度A的影响;(b)对相关系数R的影响

Fig. 3. Effect of relaxation factors α on reconstruction results. (a) Effect on nearness A; (b) effect on correlation coefficient R

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图 4. 不同网格分辨率下的重建结果。(a)~(c) ART;(d)~(f) MLEM

Fig. 4. Reconstruction results under different grid resolutions. (a)-(c) ART; (d)-(f) MLEM

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图 5. 不同浓度场下的重建结果。(a)单峰,原始浓度场;(b)双峰,原始浓度场;(c)单峰,ART算法;(d)双峰,ART算法;(e)单峰,MLEM算法;(f)双峰,MLEM算法

Fig. 5. Reconstruction results under different concentration fields. (a) Original concentration field of single peak; (b) original concentration field of double peak; (c) single peak, ART algorithm; (d) double peak, ART algorithm; (e) single peak, MLEM algorithm; (f) double peak, MLEM algorithm

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图 6. 不同噪声水平下的误差分析。(a) A;(b) R

Fig. 6. Error analysis under different noise levels. (a) A; (b) R

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表 1不同网格分辨率下的整体重建精度

Table1. Overall reconstruction accuracy under different grid resolutions

Resolution Nearness A Correlation coefficient R Running time T /s ART MLEM ART MLEM ART MLEM 5×5 0.236 0.073 0.972 0.998 0.153 0.061 7×7 0.227 0.056 0.978 0.999 0.185 0.064 10×10 0.197 0.055 0.981 0.999 0.236 0.066

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表 2不同网格分辨率下的细节重建精度

Table2. Detail reconstruction accuracy under different grid resolutions

Resolution Peak value /(mg·m-3) Peak error /% Peak location error /m ART MLEM ART MLEM ART MLEM 5×5 39.7 45.3 20.60 9.40 4 4 7×7 38.7 44.6 22.60 10.80 5 5 10×10 39.1 45.6 21.80 8.80 4 4

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表 3不同源位置的整体重建精度

Table3. Overall reconstruction accuracy of different source locations

Source location Nearness A Correlation coefficient R Running time T /s ART MLEM ART MLEM ART MLEM (75,25) 0.167 0.044 0.986 0.999 0.219 0.063 (53,53) 0.200 0.057 0.980 0.998 0.218 0.064 (30,70) 0.180 0.051 0.983 0.999 0.217 0.067 Mean 0.182 0.049 0.983 0.999 0.218 0.065

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表 4不同源位置的细节重建精度

Table4. Detail reconstruction accuracy of different source locations

Source location Peak value /(mg·m-3) Peak error /% Peak location error /m ART MLEM ART MLEM ART MLEM (75,25) 41.3 47.4 17.40 5.20 0 0 (53,53) 38.5 45.9 23.00 8.20 3.0 3.0 (30,70) 37.7 42.2 24.60 15.60 7.0 7.0 Mean 39.2 45.2 21.67 9.67 3.3 3.3

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表 5不同浓度场下的整体重建精度

Table5. Overall reconstruction accuracy of different concentration fields

Source location Nearness A Correlation coefficient R Running time T /s ART MLEM ART MLEM ART MLEM (55,75) 0.177 0.044 0.984 0.999 0.233 0.063 (35,55),(75,55) 0.263 0.069 0.964 0.998 0.228 0.065

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表 6不同浓度场性质下的细节重建精度

Table6. Detail reconstruction accuracy under different concentration fields

Source location Peak value /(mg·m-3) Mean peak error /% Peak location ART MLEM ART MLEM ART MLEM (55,75) 64.90 75.40 17.40 5.20 (55,75) (55,75) (35,55),(75,55) 49.40,72.30 50.30,91.10 14.45 4.75 (35,55),(75,55) (35,55),(75,55)

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表 7不同噪声水平下两种算法的重建评价指标

Table7. Evaluation indexes of reconstruction under different noise levels

Noise level Nearness A Correlation coefficient R ART MLEM ART MLEM 0.3 0.402 0.352 0.929 0.936 0.5 0.656 0.527 0.872 0.885 0.7 1.134 1.498 0.706 0.585

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邓矗岭, 童晶晶, 高闽光, 李相贤, 李妍, 韩昕, 刘文清. 开路傅里叶变换红外光谱层析重建算法仿真[J]. 光学学报, 2019, 39(7): 0707001. Chuling Deng, Jingjing Tong, Minguang Gao, Xiangxian Li, Yan Li, Xin Han, Wenqing Liu. Simulation of Tomographic Reconstruction Algorithms for Open-Path Fourier Transform Infrared Spectroscopy[J]. Acta Optica Sinica, 2019, 39(7): 0707001.