Analysis of Mie scattering spectrum based on guided filtering
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摘要: 为提高白光散射法反演粒子粒径精度，消除散射谱噪声，使用一维引导滤波对不同角度的Mie散射光谱数据进行滤波，并分析了引导滤波的特性。为解决引导数据引起的局部噪声问题，提出了小波-引导滤波联合算法。在小散射角时，引导滤波的结果与小波滤波类似，但在大散射角时，引导滤波的效果要比小波滤波好，并且滤除了脉冲噪声。小波-引导联合滤波的结果在15°附近与引导滤波相同，在45°到90°时的滤波效果明显比单独的小波滤波或引导滤波效果好，并且去除了由引导数据引起的局部噪声。Abstract: In order to improve the accuracy of particle size inversion, eliminate the scattering spectrum noise, the Mie scattering spectrum data of different angles were filtered by one dimensional guided filter, and the characteristics of the guided filter were analyzed. In order to solve the problem of local noise caused by the guidance data, a wavelet-guided filtering algorithm was proposed. The results show that the filtering result is similar to that of the wavelet filter in the small scattering angle, but the filtering effect is better than the wavelet filter in the large scattering angle, and the pulse noise may be filtered out. The result of wavelet-guided joint filtering is the same as that of the guided filter at 15°, the filtering effect is better than that of the wavelet filter or the guided filter at 45° to 90°, and the local noise caused by the guidance data can be removed.
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图 1 2 μm粒子不同角度下Mie散射光谱数据
Figure 1. Mie scattering spectra data of 2 μmparticles at different angles
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图 4 不同滤波核窗口尺度下的滤波数据
Figure 4. Spectra data after filtering under different filter kernel sizes
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图 13 2 μm粒子不同角度的引导滤波光谱数据
Figure 13. Guided filtering spectra data of 2 μmparticles at different angles
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图 14 2 μm粒子不同角度的小波-引导滤波光谱数据
Figure 14. Wavelet-guided scattering spectra data of 2 μm particles at different angles
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图 15 5 μm粒子不同角度米散射光谱数据
Figure 15. Mie scattering spectra data of 5 μmparticles at different angles
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图 16 5 μm粒子不同角度的引导滤波光谱数据
Figure 16. Guided filtering spectra data of 5 μmparticles at different angles
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图 17 5 μm粒子不同角度的小波-引导滤波光谱数据
Figure 17. Wavelet-guided filtering spectra data of 5 μm particles at different angles
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图 18 8 μm粒子不同角度的米散射光谱数据
Figure 18. Mie scattering spectra data of 8 μmparticles at different angles
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图 19 8 μm粒子不同角度的引导滤波光谱数据
Figure 19. Guided filtering spectra data of 8 μm particles at different angles
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图 20 8 μm粒子不同角度的小波-引导滤波光谱数据
Figure 20. Wavelet-guided filtering spectra data of 8 μm particles at different angles
表 1 三种滤波方法反演的浓度比
Table 1 Concentration ratio inverted by 3 filtering methods
滤波方法 15°浓度比例 60°浓度比例 90°浓度比例 小波 1.07:1.74:0.71 1.18:1.73:0.84 0.65:1.15:0.45 引导 0.97:1.47:0.74 0.80:1.22:0.65 0.76:1.19:0.61 小波-引导 0.98:1.48:0.75 0.81:1.23:0.66 0.77:1.20:0.62 
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表 2 反演浓度的相对误差
Table 2 Relative error of inversion concentration
滤波方法 15°相对误差/% 60°相对误差/% 90°相对误差/% 小波 7 74 -29 18 73 -16 -35 15 -55 引导 -3 47 -26 -20 22 -35 -24 19 -39 小波-引导 -2 48 -25 -19 23 -34 -23 20 -38
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