# Weighted Group Sparse Regularized Tensor Decomposition for Hyperspectral Image Denoising
## 4 Experimental Results
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Case** & **Noise Level** & **Indictors** & **Noise** & **LRTV** & **LRMR** & **LRTDGS** & **TLR-\(L_{1-2}\)SSTV** & **LRTRDGS** \\ \hline \multirow{3}{*}{Case 1-1} & \multirow{3}{*}{\(\theta=0.2\)} & PSNR-HVS & 14.0163 & 27.901 & 29.7813 & 28.082 & 27.9870 & **30.8762** \\  & & MSSIM & 0.2560 & 0.8160 & 0.9046 & 0.8233 & 0.8928 & **0.9120** \\  & & ERGAS & 751.882 & 162.6289 & 120.4509 & 145.6978 & 151.9219 & **105.1567** \\  & & time (s) & & 65.903 & 125.355 & 101.05 & 168.771 & 129.875 \\ \hline \multirow{3}{*}{Case 1-2} & \multirow{3}{*}{\(\theta=0.4\)} & PSNR-HVS & 8.0724 & 24.8962 & 24.9809 & 25.8565 & 21.6804 & **26.8577** \\  & & MSSIM & 0.0885 & 0.6706 & 0.7563 & 0.7345 & 0.4456 & **0.8046** \\  & & ERGAS & 1503.76 & 265.8668 & 211.9395 & 188.3212 & 314.1924 & **168.3608** \\  & & time (s) & & 68.384 & 129.074 & 116.272 & 171.283 & 134.115 \\ \hline \multirow{3}{*}{Case 2-1} & \multirow{3}{*}{\(\theta=0.2\)} & PSNR-HVS & 14.0758 & 27.9572 & 29.6927 & 28.0184 & 26.9483 & **30.0078** \\  & & MSSIM & 0.2543 & 0.8121 & 0.9031 & 0.8234 & 0.8689 & **0.8996** \\  & & ERGAS & 753.640 & 159.1033 & 122.6426 & 146.1582 & 167.6949 & **120.0915** \\  & & time (s) & & 66.282 & 118.784 & 110.709 & 165.203 & 130.673 \\ \hline \multirow{3}{*}{Case 2-2} & \multirow{3}{*}{\(\theta=0.4\)} & PSNR-HVS & 8.0034 & 24.9894 & 24.8892 & 25.8762 & 24.0708 & **26.9950** \\  & & MSSIM & 0.0880 & 0.6662 & 0.7556 & 0.7393 & 0.7898 & **0.7987** \\  & & ERGAS & 1503.85 & 258.5927 & 213.5223 & 190.8474 & 212.9540 & **181.1324** \\  & & time (s) & & 63.228 & 112.783 & 106.889 & 159.995 & 127.257 \\ \hline \multirow{3}{*}{Case 3-1} & \multirow{3}{*}{\(\theta=0.2\)} & PSNR-HVS & 11.9947 & 27.7842 & 25.0749 & 27.9302 & 27.8404 & **30.7730** \\  & & MSSIM & 0.1701 & 0.7808 & 0.7993 & 0.8056 & 0.8755 & **0.9012** \\  & & ERGAS & 1047.90 & 175.0467 & 213.6028 & 153.4816 & 161.8219 & **112.6899** \\  & & time (s) & & 65.893 & 116.291 & 109.680 & 160.003 & 127.982 \\ \hline \multirow{3}{*}{Case 3-2} & \multirow{3}{*}{\(\theta=0.3\)} & PSNR-HVS & 7.9956 & 24.0949 & 21.0092 & 24.8709 & 24.0825 & **26.9904** \\  & & MSSIM & 0.0827 & 0.6465 & 0.6547 & 0.7162 & 0.7646 & **0.8026** \\  & & ERGAS & 1529.86 & 258.4624 & 340.4201 & 204.1038 & 230.8225 & **80.2526** \\  & & time (s) & & 66.113 & 116.982 & 111.293 & 160.904 & 128.040 \\ \hline \multirow{3}{*}{Case 4-1} & \multirow{3}{*}{\(\theta=0.4\)} & PSNR-HVS & 7.2837 & 23.8392 & 23.0392 & 25.1039 & 23.9029 & **25.9372** \\  & & MSSIM & 0.0716 & 0.6058 & 0.6908 & 0.7066 & 0.7450 & **0.7553** \\  & & ERGAS & 1672.07 & 303.2406 & 264.5094 & 207.8214 & 236.6696 & **201.1609** \\  & & time (s) & & 70.284 & 119.103 & 117.739 & 165.492 & 130.265 \\ \hline \multirow{3}{*}{Case 4-2} & \multirow{3}{*}{\(\theta=0.2\)} & PSNR-HVS & 8.9829 & 25.0284 & 18.9271 & 26.0174 & 25.0172 & **26.8740** \\  & & MSSIM & 0.0849 & 0.6982 & 0.6003 & 0.7508 & 0.8120 & **0.8245** \\  & & ERGAS & 1472.33 & 241.7256 & 449.2673 & 185.5257 & 204.7093 & **174.2441** \\  & & time (s) & & 69.027 & 118.685 & 115.336 & 162.870 & 128.278 \\ \hline \multirow{3}{*}{Case 5-1} & \multirow{3}{*}{\(\theta=U(0.3,0.4)\)} & PSNR-HVS & 7.7944 & 23.8902 & 21.9080 & 24.9823 & 23.9802 & **25.6890** \\  & & MSSIM & 0.0780 & 0.6163 & 0.6715 & 0.7083 & 0.7525 & **0.7677** \\ \cline{1-1}  & & ERGAS & 1584.39 & 307.9037 & 301.3547 & 208.4486 & 236.4430 & **198.0863** \\ \cline{1-1}  & & time (s) & & 73.282 & 125.394 & 117.003 & 166.682 & 131.082 \\ \hline \multirow{3}{*}{Case 5-2} & \multirow{3}{*}{\(\theta=U(0.2,0.3)\)} & PSNR-HVS & 8.5902 & 24.6823 & 19.9322 & 25.8948 & 24.7839 & **26.7735** \\ \cline{1-1}  & & MSSIM & 0.0860 & 0.667 & 0.6278 & 0.7293 & 0.7847 & **0.8052** \\ \cline{1-1} \cline{2-11}  & & ERGAS & 1494.11 & 271.4693 & 392.7230 & 198.8723 & 222.9171 & **184.1283** \\ \cline{1-1} \cline{2-11}  & & time (s) & & 71.942 & 123.463 & 110.228 & 160.382 & 129.735 \\ \hline \hline \end{tabular}  
* The best results are highlighted by bold.  
\end{table}