Small sample data augmentation and abundances inversion of minerals hyperspectral

Ling ZHU; Ming LI; Kai QIN

doi:10.37188/OPE.20233111.1684

Optics and Precision Engineering, Volume. 31, Issue 11, 1684(2023)

Small sample data augmentation and abundances inversion of minerals hyperspectral

Ling ZHU*... Ming LI and Kai QIN |Show fewer author(s)

National Key Laboratory of Remote Sensing Information and Imagery Analyzing Technology， Beijing Research Institute of Uranium Geology， Beijing100029， China

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Figures & Tables(6)

Fig. 1. Endmembers spectra of five minerals measured in laboratory

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Fig. 2. Simulation results of mixing minerals

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Table 1. Mixing proportion of end-member minerals

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Table 1. Mixing proportion of end-member minerals

第一组	第二组	第三组	第四组
1∶9	1∶3∶6	5∶4∶1	1∶2∶3∶4
3∶7	1∶5∶4	3∶6∶1	4∶2∶3∶1
5∶5	1∶5∶6∶5∶2	2∶7∶1	5∶0.5∶4∶0.5
7∶3	0.5∶7∶2.5	4∶3∶3	7.5∶0.3∶2∶0.2
9∶1	0.5∶8∶1.5	2∶5∶3	5.5∶1∶3∶0.5

Table 2. Data enhancement of mixing minerals

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Table 2. Data enhancement of mixing minerals

模拟数据	线性模拟	Hapke模拟	Hapke模拟
模拟数据	线性模拟	Hapke模拟	$ϕ$ =0.1	$ϕ$ =0.2	$ϕ$ =0.3
第一组	10 000	10 000	10 000	10 000	10 000
第二组	10 000	10 000	10 000	10 000	10 000
第三组	10 000	10 000	10 000	10 000	10 000
第四组	10 000	10 000	10 000	10 000	10 000
合计	40 000	40 000	40 000	40 000	40 000

Table 3. Errors of some spectra simulation results

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Table 3. Errors of some spectra simulation results

矿物混合	线性模拟	Hapke模拟	Hapke模拟
矿物混合	线性模拟	Hapke模拟	$ϕ$ =0.1	$ϕ$ =0.2	$ϕ$ =0.3
高岭石：赤铁矿（5∶5）	0.156 4	0.076 1	0.045 9	0.036 9	0.048 3
高岭石：赤铁矿（7∶3）	0.111 7	0.057 1	0.053 6	0.038 7	0.092 5
白云母：蒙脱石：高岭石（1∶3∶6）	0.047 3	0.038 2	0.027 1	0.022 4	0.077 8
白云母：蒙脱石：高岭石（1∶5∶4）	0.074 1	0.061 1	0.058 9	0.055 5	0.072 3
蒙脱石：高岭石：赤铁矿：绿泥石（4∶2∶3∶1）	0.163 6	0.109 7	0.059 0	0.083 2	0.106 0
蒙脱石：高岭石：赤铁矿：绿泥石（1∶2∶3∶4）	0.231 6	0.106 6	0.066 9	0.085 6	0.106 5
均值	0.130 1	0.074 8	0.053 5	0.053 7	0.083 8

Table 4. Hyperspectral abundance inversion results of mineral unmixing

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Table 4. Hyperspectral abundance inversion results of mineral unmixing

矿物	RMSE
矿物	FCLS	Hapke	Hapke ϕ=0.1	Hapke ϕ=0.2	Hapke ϕ=0.1，0.2
高岭石	0.333 9	0.184 1	0.199 5	0.249 2	0.164 6
赤铁矿	0.571 8	0.089 7	0.100 5	0.120 8	0.114 5
蒙脱石	0.273 1	0.233 8	0.242 6	0.232 4	0.198 5
绿泥石	0.550 0	0.061 7	0.101 2	0.049 2	0.059 7
白云母	0.229 6	0.085 9	0.083 0	0.085 3	0.086 6
均值	0.391 7	0.146 8	0.158 7	0.167 6	0.124 8

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Ling ZHU, Ming LI, Kai QIN. Small sample data augmentation and abundances inversion of minerals hyperspectral[J]. Optics and Precision Engineering, 2023, 31(11): 1684

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