Multi-graph regularized multi-kernel nonnegative matrix factorization for hyperspectral image unmixing

SNR/dB	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
10	0.494 8	0.456 7	0.170 2	0.169 3	0.167 1	0.190 1	0.213 3
20	0.382 9	0.309 4	0.164 8	0.160 4	0.154 3	0.157 6	0.154 1
30	0.341 7	0.296 0	0.162 1	0.153 1	0.148 2	0.129 4.	0.124 8
40	0.308 4	0.251 9	0.159 6	0.149 2	0.142 7	0.146 6	0.137 5

Table 2. SAD value of each algorithm of GBM model under different SNR

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Table 2. SAD value of each algorithm of GBM model under different SNR

SNR/dB	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
10	0.401 1	0.283 9	0.180 3	0.172 3	0.171 4	0.169 3	0.258 8
20	0.395 9	0.236 4	0.174 2	0.166 8	0.164 3	0.145 5	0.121 9
30	0.341 3	0.214 2	0.168 1	0.161 1	0.160 8	0.139 0	0.113 1
40	0.300 1	0.199 8	0.161 3	0.159 1	0.157 7	0.149 9	0.145 6

Table 3. RMSE value of each algorithm of HAPKE model under different SNR

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Table 3. RMSE value of each algorithm of HAPKE model under different SNR

SNR/dB	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
10	0.185 0	0.186 9	0.079 2	0.068 9	0.067 2	0.099 0	0.091 0
20	0.162 4	0.183 9	0.076 9	0.063 7	0.061 1	0.061 8	0.060 1
30	0.149 5	0.180 1	0.071 3	0.058 7	0.058 0	0.052 3	0.049 0
40	0.129 9	0.178 3	0.066 2	0.052 3	0.051 8	0.051 5	0.050 6

Table 4. RMSE value of each algorithm of GBM model under different SNR

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Table 4. RMSE value of each algorithm of GBM model under different SNR

SNR/dB	NMF	GNMF	npKNMF	KSNMF	KDP	MKGNMF	MGMKNMF
10	0.321 7	0.290 6	0.081 7	0.071 1	0.070 8	0.079 0	0.112 3
20	0.307 4	0.253 1	0.079 4	0.062 4	0.061 8	0.060 6	0.059 7
30	0.292 3	0.233 7	0.073 6	0.060 3	0.059 3	0.052 2	0.050 1
40	0.258 6	0.201 2	0.069 1	0.058 4	0.058 0	0.057 7	0.057 0

Table 5. SAD value of each algorithm of HAPKE model under different number of endmembers

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Table 5. SAD value of each algorithm of HAPKE model under different number of endmembers

Endmember	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
P=6	0.308 4	0.281 7	0.159 6	0.149 0	0.142 2	0.145 7	0.141 1
P=5	0.251 0	0.218 7	0.124 0	0.118 2	0.107 7	0.096 8	0.081 4
P=4	0.198 5	0.195 4	0.100 4	0.089 8	0.081 2	0.080 2	0.078 9
P=3	0.172 9	0.143 8	0.073 5	0.068 2	0.060 0	0.044 3	0.034 3

Table 6. SAD value of each algorithm of GBM model under different number of endmembers

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Table 6. SAD value of each algorithm of GBM model under different number of endmembers

Endmember	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
P=6	0.271 1	0.278 9	0.169 5	0.159 8	0.158 0	0.148 3	0.147 1
P=5	0.268 3	0.241 9	0.125 1	0.121 5	0.113 6	0.100 2	0.095 1
P=4	0.209 2	0.202 1	0.091 4	0.085 4	0.081 7	0.070 0	0.063 2
P=3	0.182 0	0.143 5	0.067 9	0.060 5	0.057 2	0.042 3	0.029 9

Table 7. RMSE value of each algorithm of HAPKE model under different number of endmembers

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Table 7. RMSE value of each algorithm of HAPKE model under different number of endmembers

Endmember	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
P=6	0.189 9	0.176 4	0.084 1	0.068 1	0.066 9	0.060 3	0.059 4
P=5	0.175 3	0.162 1	0.078 3	0.062 3	0.061 1	0.060 1	0.056 3
P=4	0.151 5	0.160 1	0.074 5	0.058 9	0.057 4	0.054 7	0.052 3
P=3	0.203 0	0.157 7	0.066 2	0.055 3	0.051 8	0.051 4	0.050 8

Table 8. RMSE value of each algorithm of GBM model under different number of endmembers

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Table 8. RMSE value of each algorithm of GBM model under different number of endmembers

Endmember	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
P=6	0.227 2	0.200 1	0.086 3	0.079 2	0.077 5	0.060 1	0.061 0
P=5	0.180 4	0.173 4	0.081 2	0.068 3	0.066 2	0，0 622	0.060 3
P=4	0.153 4	0.149 7	0.079 9	0.065 1	0.064 3	0.064 0	0.063 3
P=3	0.119 6	0.139 6	0.069 1	0.058 4	0.058 0	0.041 2	0.035 4

Table 9. SAD values of Cuprite data by different algorithms

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Table 9. SAD values of Cuprite data by different algorithms

Item	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
Alunite	0.297 9	0.243 4	0.063 2	0.085 9	0.062 9	0.078 7	0.069 5
Andradite	0.383 9	0.262 6	0.079 5	0.101 4	0.204 5	0.066 0	0.079 4
Buddingtonite	0.367 2	0.266 6	0.079 6	0.073 7	0.116 1	0.088 5	0.119 6
Dumortierite	0.283 9	0.574 3	0.156 2	0.071 7	0.071 2	0.084 8	0.082 9
Kaolinite_1	0.235 9	0.336 2	0.080 2	0.061 3	0.081 3	0.082 1	0.087 5
Kaolinite_2	0.309 5	0.344 3	0.262 2	0.189 0	0.114 0	0.056 5	0.073 3
Muscovite	0.379 4	0.318 3	0.113 7	0.052 1	0.147 2	0.102 4	0.104 1
Montmorillonite	0.473 1	0.355 7	0.131 0	0.140 2	0.107 0	0.054 5	0.055 6
Nontronite	0.451 6	0.451 6	0.129 3	0.064 7	0.078 8	0.121 4	0.104 3
Pyrope	0.292 7	0.455 0	0.054 1	0.142 0	0.074 5	0.117 8	0.065 5
Sphene	0.282 1	0.287 9	0.091 3	0.279 8	0.097 6	0.201 5	0.197 1
Chalcedony	0.318 6	0.318 6	0.213 2	0.149 5	0.132 7	0.071 5	0.065 9
Average	0.339 6	0.337 1	0.120 8	0.117 6	0.107 8	0.093 8	0.092 1

Table 10. SAD values of Jasper Ridge data by different algorithms

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Table 10. SAD values of Jasper Ridge data by different algorithms

Item	NMF	GNMF	npKNMF	KSNMF	KDP	MGKNMF	MGMKNMF
Tree	0.267 7	0.238 1	0.139 7	0.144 6	0.095 3	0.079 3	0.096 4
Water	0.319 2	0.338 8	0.118 6	0.114 3	0.102 5	0.091 1	0.120 3
Soil	0.428 9	0.081 9	0.131 7	0.105 3	0.123 7	0.124 2	0.097 1
Road	0.410 8	0.309 3	0.127 2	0.094 2	0.086 9	0.097 4	0.074 1
Average	0.356 6	0.242 0	0.129 3	0.114 6	0.102 1	0.098 0	0.097 0

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Jing LIU, Kangxin LI, You ZHANG, Yi LIU. Multi-graph regularized multi-kernel nonnegative matrix factorization for hyperspectral image unmixing[J]. Optics and Precision Engineering, 2022, 30(14): 1657

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Paper Information

Category: Modern Applied Optics

Received: Apr. 22, 2022

Accepted: --

Published Online: Sep. 6, 2022

The Author Email: LIU Jing (zyhalj1975@163.com)

DOI:10.37188/OPE.20223014.1657

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. [in Chinese]

Table 1. [in Chinese]

Table 1. SAD value of each algorithm of HAPKE model under different SNR

Table 1. SAD value of each algorithm of HAPKE model under different SNR

Table 2. SAD value of each algorithm of GBM model under different SNR

Table 2. SAD value of each algorithm of GBM model under different SNR

Table 3. RMSE value of each algorithm of HAPKE model under different SNR

Table 3. RMSE value of each algorithm of HAPKE model under different SNR

Table 4. RMSE value of each algorithm of GBM model under different SNR

Table 4. RMSE value of each algorithm of GBM model under different SNR

Table 5. SAD value of each algorithm of HAPKE model under different number of endmembers

Table 5. SAD value of each algorithm of HAPKE model under different number of endmembers

Table 6. SAD value of each algorithm of GBM model under different number of endmembers

Table 6. SAD value of each algorithm of GBM model under different number of endmembers

Table 7. RMSE value of each algorithm of HAPKE model under different number of endmembers

Table 7. RMSE value of each algorithm of HAPKE model under different number of endmembers

Table 8. RMSE value of each algorithm of GBM model under different number of endmembers

Table 8. RMSE value of each algorithm of GBM model under different number of endmembers

Table 9. SAD values of Cuprite data by different algorithms

Table 9. SAD values of Cuprite data by different algorithms

Table 10. SAD values of Jasper Ridge data by different algorithms

Table 10. SAD values of Jasper Ridge data by different algorithms

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