Mathematical Problems in Engineering

Research Article

Hyperspectral Image Denoising via Nonconvex Logarithmic Penalty

Table 2

Performance comparison of competing methods. The best result in each case is highlighted in bold.
CaseDataGaussian noiseImpulse noiseIndicatorsNoise3DTNN3DLogTNN3DLogATNN
Case 1-1Washington DC Mall—MPSNR16.547230.775232.1420
MSSIM0.36330.93870.9449
SAM36.39415.89696.7688
Time (s) 310.708207.411
Case 1-2Washington DC Mall—MPSNR4.382022.990518.1073
MSSIM0.03990.71280.3943
SAM67.767931.642811.0287
Time (s) 241.556371.838
Cases 1–3Pavia City Center—MPSNR16.709530.338031.5492
MSSIM0.27420.90370.8933
SAM34.63293.92145.7779
Time (s) 117.293883.271
Cases 1–4Pavia City Center—MPSNR4.446920.819110.4980
MSSIM0.02190.36130.0785
SAM68.250219.934752.9761
Time (s) 112.223120.206
Cases 1–5Indian Pines—MPSNR16.671929.290330.9744
MSSIM0.27050.90460.8793
SAM16.93013.03292.5550
Time (s) 226.048163.207
Cases 1–6Indian Pines—MPSNR4.435819.73427.7503
MSSIM0.04270.07340.6672
SAM49.19096.653538.7423
Time (s) 232.497137.487
Case 2-1Washington DC Mall—MPSNR8.474733.518342.1350
MSSIM0.08220.94740.9965
SAM48.82567.42831.3193
Time (s) 235.137332.130
Case 2-2Washington DC Mall—MPSNR7.530519.530033.5233
MSSIM0.05760.46010.8926
SAM50.045225.859314.2450
Time (s) 376.93292.934
Case 2-3Washington DC Mall—MPSNR7.458318.892724.8326
MSSIM0.05650.42860.6793
SAM50.136927.041022.7390
Time (s) 239.041337.120
Cases 2–4Pavia City Center—MPSNR8.854241.260045.9213
MSSIM0.04980.99560.9980
SAM45.63000.36930.3204
Time (s) 140.218112.862
Cases 2–5Pavia City Center—MPSNR7.064918.43637.2921
MSSIM0.02320.28960.0251
SAM46.839726.478546.6534
Time (s) 76.873112.652
Cases 2–6Indian Pines—MPSNR9.277837.347338.3288
MSSIM0.07740.97300.9763
SAM34.41061.03030.8421
Time (s) 213.263150.303
Cases 2–7Indian Pines—MPSNR7.488114.118913.5063
MSSIM0.04020.16360.1542
SAM40.390221.608622.9239
Time (s) 229.334165.124
Cases 3–1Washington DC MallMPSNR9.000025.592627.3793
MSSIM0.10870.81290.8470
SAM53.89058.58458.5841
Time (s) 317.362198.887
Case 3-2Washington DC MallMPSNR8.159124.527330.4000
MSSIM0.07510.72260.9213
SAM49.859312.86866.4664
Time (s) 202.923332.368
Case 3-3Washington DC MallMPSNR5.700916.337014.9055
MSSIM0.03590.29830.2406
SAM55.956721.925528.7635
Time (s) 220.647367.041
Case 3-4Pavia City CenterMPSNR9.097425.799713.1319
MSSIM0.06420.74480.1327
SAM53.285842.71535.6316
Time (s) 93.24965.679
Cases 3–5Pavia City CenterMPSNR8.471128.496330.2146
MSSIM0.04430.86150.8613
SAM46.80834.26066.4614
Time (s) 116.12763.407
Cases 3–6Indian PinesMPSNR8.908325.914830.1284
MSSIM0.07190.68170.8164
SAM35.51255.20592.8185
Time (s) 234.822165.194
Cases 3–7Indian PinesMPSNR9.217623.622326.8626
MSSIM0.09710.78070.7415
SAM34.23245.55984.0714
Time (s) 224.456150.277
Cases 4–1Washington DC MallMPSNR7.153322.789324.8984
MSSIM0.07020.71240.8004
SAM57.150611.23789.4788
Time (s) 370.379226.554
Cases 4–2Washington DC MallMPSNR7.682922.130125.1477
MSSIM0.07370.68540.8146
SAM53.481912.56299.5805
Time (s) 200.652338.836
Case 4-3Washington DC MallMPSNR6.237723.72769.6080
MSSIM0.06020.72830.1128
SAM61.581410.016353.2827
Time (s) 190.534323.047
Case 4-4Pavia City CenterMPSNR7.860223.587324.6273
MSSIM0.04210.59110.6943
SAM51.64279.91426.0669
Time (s) 113.882150.160
Case 4-5Pavia City CenterMPSNR7.253523.519324.3368
MSSIM0.03950.57040.6672
SAM56.230110.13076.0174
Time (s) 92.428139.006
Cases 4–6Indian PinesMPSNR8.197022.191526.0036
MSSIM0.06980.77710.7409
SAM37.69257.05874.5808
Time (s) 230.989152.424
Cases 4–7Indian PinesMPSNR6.357220.838015.0486
MSSIM0.05780.20080.6976
SAM43.24857.033319.4183
Time (s) 226.007133.670
Cases 5–1Washington DC MallMPSNR6.876616.589310.6705
MSSIM0.04470.28550.1130
SAM51.257927.348843.5216
Time (s) 213.342317.644
Cases 5–2Washington DC MallMPSNR6.698719.960512.1413
MSSIM0.05570.55400.1581
SAM55.593815.500241.9549
Time (s) 200.605323.034
Cases 5–3Pavia City CenterMPSNR7.214320.501226.6374
MSSIM0.02620.36580.7900
SAM47.569119.06505.4284
Time (s) 105.725137.456
Case 5-4Pavia City CenterMPSNR6.902621.095422.9767
MSSIM0.03170.42850.6131
SAM53.563612.63936.3647
Time (s) 88.2136.355
Case 5-5Indian PinesMPSNR7.621417.678727.6585
MSSIM0.04540.25270.7442
SAM39.873614.34204.1642
Time (s) 243.403159.432
Case 5-6Indian PinesMPSNR7.617720.638526.2863
MSSIM0.05280.51390.7446
SAM39.74189.11724.4909
Time (s) 226.007133.670
Cases 6–1Washington DC MallMPSNR8.112723.302226.2174
MSSIM0.08450.74640.8378
SAM53.204011.01238.8638
Time (s) 196.620340.366
Cases 6–2Washington DC MallMPSNR8.241823.923127.9402
MSSIM0.08060.72560.8802
SAM50.583112.21937.9288
Time (s) 199.073341.498
Cases 6–3Washington DC MallMPSNR5.957622.78229.1294
MSSIM0.05440.68960.0988
SAM61.417011.302553.7084
Time (s) 212.886326.244
Cases 6–4Pavia City CenterMPSNR7.684923.140425.8334
MSSIM0.03390.53150.7519
SAM58.469512.97265.9927
Time (s) 90.948136.677
Case 6-5Pavia City CenterMPSNR5.949822.301324.0139
MSSIM0.03010.45130.6279
SAM61.324713.43686.2548
Time (s) 94.386139.482
Case 6-6Indian PinesMPSNR8.059121.639327.9846
MSSIM0.05730.48070.7662
SAM38.32178.56983.6572
Time (s) 232.800155.648
Case 6-7Indian PinesMPSNR6.043620.293213.1701
MSSIM0.05260.15510.6912
SAM44.35147.740123.6309
Time (s) 236.529137.036