Table 1.
Summary of the Performance Results MSE-GIA, MINIMAX, GMM, GPOD, and LPOD on the MUNSELL Database
|
| RMS | PSNR (dB) | GFC | MI D65 to A | MI A to D65 |
---|
Methods | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD |
---|
| | | | | | | | | | | | |
MSE_GIA | 0.3587 | 0.3214 | 0.0229 | 0.0173 | 34.7 | 5.7 | 0.9940 | 0.0115 | 1.1713 | 0.7989 | 1.3319 | 0.9640 |
MINIMAX | 0.3587 | 0.3214 | 0.0229 | 0.0173 | 34.7 | 5.7 | 0.9940 | 0.0115 | 1.1713 | 0.7989 | 1.3319 | 0.9640 |
GMM |
0.2482
| 0.2699 | 0.0169 | 0.0144 | 37.7 | 6.3 | 0.9952 | 0.0124 | 0.7628 | 0.7485 | 0.8586 | 0.8549 |
GPOD | 2.9954 | 3.3759 | 0.0195 | 0.0139 | 36.1 | 6.1 | 0.9949 | 0.0105 | 0.8722 | 0.6981 | 1.0046 | 0.8963 |
| 2.1568 | 2.7746 | 0.0119 | 0.0082 | 40.2 | 5.5 | 0.9976 | 0.0053 | 0. 6018 | 0.5305 | 0.7102 | 0.6307 |
| 1.4273 | 1.5643 | 0.0078 | 0.0059 | 44.1 | 5.8 | 0.9992 | 0.0016 | 0.3372 | 0.2906 | 0.3741 | 0.3151 |
| 1.0916 | 1.2087 |
0.0063
| 0.0050 |
46.2
| 6.1 |
0.9995
| 0.0007 |
0.2510
| 0.2139 |
0.2790
| 0.2379 |
| | | | | | | | | | | | |
MSE_GIA | 0.3601 | 0.3244 | 0.0224 | 0.0174 | 34.7 | 5.3 | 0.9940 | 0.0114 | 1.1903 | 0.8340 | 1.3611 | 1.0346 |
MINIMAX | 0.4573 | 0.3731 | 0.0292 | 0.0215 | 33.0 | 6.6 | 0.9912 | 0.0142 | 1.4944 | 1.0559 | 1.7130 | 1.2314 |
GMM |
0.2269
| 0.2370 | 0.0156 | 0.0142 | 38.7 | 6.6 | 0.9961 | 0.0123 | 0.7379 | 0.6390 | 0.8487 | 0.8070 |
GPOD | 1.8887 | 2.0182 | 0.0136 | 0.0096 | 39.1 | 5.6 | 0.9973 | 0.0068 | 0.4018 | 0.4271 | 0.3839 | 0.4052 |
| 1.1594 | 1.3071 | 0.0073 | 0.0047 | 44.3 | 5.4 | 0.9991 | 0.0028 | 0.2770 | 0.2744 | 0.3132 | 0.3354 |
| 0.6519 | 0.7710 | 0.0044 | 0.0027 | 48.6 | 5.0 | 0.9997 | 0.0005 | 0.1417 | 0.1338 | 0.1661 | 0.1620 |
| 0.4956 | 0.5816 |
0.0033
| 0.0022 |
51.0
| 5.0 |
0.9998
| 0.0003 |
0.1053
| 0.0973 |
0.1206
| 0.1133 |
| | | | | | | | | | | | |
MSE_GIA | 0.3587 | 0.3224 | 0.0223 | 0.0175 | 34.8 | 5.3 | 0.9940 | 0.0116 | 1.1868 | 0.8249 | 1.3559 | 1.0148 |
MINIMAX | 0.4651 | 0.3936 | 0.0332 | 0.0245 | 32.0 | 6.7 | 0.9887 | 0.0188 | 1.2943 | 0.8897 | 1.3984 | 0.9823 |
GMM | 0.1991 | 0.2093 | 0.0146 | 0.0133 | 39.3 | 6.7 | 0.9966 | 0.0115 | 0.6187 | 0.5607 | 0.6982 | 0.6667 |
GPOD | 0.7438 | 0.6856 | 0.0101 | 0.0058 | 41.2 | 4.8 | 0.9987 | 0.0030 | 0.1836 | 0.2057 | 0.1999 | 0.1969 |
| 0.2980 | 0.2892 | 0.0034 | 0.0020 | 50.4 | 4.6 | 0.9998 | 0.0005 | 0.0692 | 0.0783 | 0.0726 | 0.0847 |
| 0.1997 | 0.2013 | 0.0021 | 0.0011 | 54.4 | 4.1 | 0.9999 | 0.0001 | 0.0387 | 0.0399 | 0.0435 | 0.0435 |
|
0.1483
| 0.1391 |
0.0015
| 0.0007 |
57.0
| 4.1 |
1.0000
| 0.0001 |
0.0318
| 0.0340 |
0.0350
| 0.0381 |
Table 2.
Summary of the Performance Results MSE-GIA, MINIMAX, GMM, GPOD, and LSPOD on the NCS Database
|
| RMS | PSNR (dB) | GFC | MI D65 to A | MI A to D65 |
---|
Methods | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD |
---|
| | | | | | | | | | | | |
MSE_GIA | 0.3463 | 0.3480 | 0.0244 | 0.0192 | 34.0 | 5.2 | 0.9944 | 0.0121 | 1.0244 | 0.9143 | 1.1670 | 1.0375 |
MINIMAX | 0.3463 | 0. 3480 | 0.0244 | 0.0192 | 34.0 | 5.2 | 0.9944 | 0.0121 | 1.0244 | 0.9143 | 1.1670 | 1.0375 |
GMM |
0.2515
| 0.2613 | 0.0195 | 0.0167 | 36.1 | 5.4 | 0.9961 | 0.0105 | 0.6965 | 0.6655 | 0.7956 | 0.7447 |
GPOD | 3.2753 | 4.1828 | 0.0199 | 0.0151 | 35.8 | 5.5 | 0.9955 | 0.0116 | 0.6826 | 0.6948 | 0.9104 | 0.8794 |
| 2.2792 | 3.3205 | 0.0126 | 0.0080 | 39.5 | 5.3 | 0.9982 | 0.0048 | 0.4689 | 0.4676 | 0.5505 | 0.5296 |
| 1.5638 | 1.7583 | 0.0093 | 0.0056 | 42.1 | 5.3 | 0.9992 | 0.0017 | 0.3105 | 0.2876 | 0.3659 | 0.3197 |
| 1.3626 | 1.5375 |
0.0082
| 0.0055 |
43.6
| 6.0 |
0.9995
| 0.0008 |
0.2279
| 0.1835 |
0.2830
| 0.2302 |
| | | | | | | | | | | | |
MSE_GIA | 0.3426 | 0.3454 | 0.0238 | 0.0193 | 34.2 | 5.1 | 0.9944 | 0.0120 | 1.0235 | 0.9290 | 1.1783 | 1.0921 |
MINIMAX | 0.8741 | 0.8049 | 0.0542 | 0.0263 | 26.5 | 5.1 | 0.9742 | 0.0480 | 3.3029 | 3.7035 | 3.7197 | 4.0498 |
GMM |
0.2705
| 0.2895 | 0.0193 | 0.0155 | 36.2 | 5.7 | 0.9951 | 0.0131 | 0.7365 | 0.7949 | 0.8312 | 0.8616 |
GPOD | 1.0984 | 1.0591 | 0.0145 | 0.0101 | 38.3 | 5.1 | 0.9977 | 0.0066 | 0.4713 | 0.5947 | 0.4978 | 0.6694 |
| 1.0567 | 1.3722 | 0.0082 | 0.0048 | 43.1 | 5.1 | 0.9992 | 0.0021 | 0.2662 | 0.3222 | 0.3065 | 0.3731 |
| 0.7456 | 0.8100 | 0.0062 | 0.0037 | 45.8 | 5.4 | 0.9997 | 0.0007 | 0.1659 | 0.1462 | 0.1973 | 0.1957 |
| 0.6649 | 0.7322 |
0.0052
| 0.0033 |
47.3
| 5.8 |
0.9998
| 0.0004 |
0.1366
| 0.1187 |
0.1632
| 0.1571 |
| | | | | | | | | | | | |
MSE_GIA | 0.3414 | 0.3447 | 0.0237 | 0.0193 | 34.2 | 5.1 | 0.9944 | 0.0121 | 1.0198 | 0.9260 | 1.1727 | 1.0830 |
MINIMAX | 0.8042 | 0.7166 | 0.0554 | 0.0264 | 26.3 | 5.0 | 0.9728 | 0.0504 | 2.4176 | 2.7676 | 2.6473 | 2.9543 |
GMM | 0.2196 | 0.2249 | 0.0164 | 0.0145 | 37.8 | 5.9 | 0.9971 | 0.0104 | 0.6082 | 0.5802 | 0.6998 | 0.6824 |
GPOD | 0.6424 | 0.6605 | 0.0090 | 0.0047 | 42.0 | 4.3 | 0.9993 | 0.0011 | 0.0631 | 0.0520 | 0.0765 | 0.0558 |
| 0.3555 | 0.3804 | 0.0041 | 0.0026 | 49.2 | 5.5 | 0.9999 | 0.0003 | 0.0676 | 0.0605 | 0.0728 | 0.0655 |
| 0.2547 | 0.2687 | 0.0030 | 0.0019 | 52.2 | 5.6 | 0.9999 | 0.0002 | 0.0504 | 0.0501 | 0.0567 | 0.0591 |
|
0.2161
| 0.2294 |
0.0023
| 0.0015 |
54.4
| 5.6 |
1.0000
| 0.0001 |
0.0452
| 0.0439 |
0.0534
| 0.0573 |
Table 3.
Summary of the Performance Results ICA, NMF, RSNMU, RSPNMU, GPOD, and LPOD on the CAVE Database
|
| RMS | PSNR (dB) | GFC | MI D65 to A | MI A to D65 |
---|
Methods | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD |
---|
| | | | | | | | | | | | |
ICA | 6.4644 | 4.9820 | 0.0148 | 0.0121 | 41.0 | 6.5 | 0.9480 | 0.0642 | 1.1602 | 0.8478 | 1.1124 | 0.7906 |
NMF | 10.8833 | 8.5361 | 0.0194 | 0.0193 | 38.6 | 6.6 | 0.9181 | 0.0861 | 1.2048 | 0.8656 | 1.4380 | 1.0257 |
RSNMU | 7.9239 | 7.0451 | 0.0205 | 0.0172 | 37.6 | 5.8 | 0.8959 | 0.1083 | 0.7466 | 0.5635 | 1.0163 | 0.7429 |
RSPNMU | 7.6389 | 6.9547 | 0.0213 | 0.0182 | 37.4 | 5.9 | 0.8944 | 0.1097 | 0.7479 | 0.5908 | 1.0084 | 0.7680 |
GPOD | 6.1354 | 4.8444 | 0.0117 | 0.0084 | 41.9 | 5.1 | 0.9421 | 0.0708 | 1.1933 | 0.8987 | 1.1372 | 0.8298 |
| 3.6316 | 3.5568 | 0.0062 | 0.0063 | 48.6 | 6.8 | 0.9880 | 0.0373 | 0.4765 | 0.4646 | 0.5123 | 0.5121 |
| 2.1014 | 2.3684 | 0.0042 | 0.0049 | 53.0 | 7.8 | 0.9950 | 0.0334 | 0.2760 | 0.3173 | 0.3219 | 0.3714 |
|
1.7888
| 2.0724 |
0.0036
| 0.0045 |
54.1
| 7.8 |
0.9959
| 0.0326 |
0.2342
| 0.2759 |
0.2805
| 0.3349 |
| | | | | | | | | | | | |
ICA | 3.0133 | 2.4445 | 0.0105 | 0.0099 | 44.6 | 7.5 | 0.9765 | 0.0442 | 0.7637 | 0.5849 | 0.9033 | 0.7216 |
NMF | 9.0275 | 7.5026 | 0.0158 | 0.0151 | 39.9 | 6.3 | 0.9267 | 0.0828 | 1.1019 | 0.8432 | 1.2952 | 0.9722 |
RSNMU | 6.0576 | 5.8707 | 0.0150 | 0.0131 | 40.9 | 6.4 | 0.9386 | 0.0806 | 0.6177 | 0.5293 | 0.8226 | 0.6942 |
RSPNMU | 5.9715 | 5.6794 | 0.0163 | 0.0137 | 39.8 | 6.1 | 0.9256 | 0.0915 | 0.6322 | 0.5441 | 0.8588 | 0.7271 |
GPOD | 2.9689 | 2.4299 | 0.0077 | 0.0062 | 45.8 | 5.7 | 0.9729 | 0.0481 | 0.7632 | 0.6254 | 0.8878 | 0.7579 |
| 1.7780 | 1.9164 | 0.0041 | 0.0044 | 52.2 | 7.1 | 0.9944 | 0.0317 | 0.3228 | 0.3318 | 0.3714 | 0.4055 |
| 1.2221 | 1.4414 | 0.0029 | 0.0034 | 55.5 | 7.4 | 0.9967 | 0.0308 | 0.2139 | 0.2550 | 0.2618 | 0.3178 |
|
1.0503
| 1.2716 |
0.0026
| 0.0031 |
56.4
| 7.3 |
0.9970
| 0.0302 |
0.1876
| 0.2308 |
0.2271
| 0.2836 |
| | | | | | | | | | | | |
ICA | 0.9417 | 0.7595 | 0.0059 | 0.0059 | 49.9 | 7.8 | 0.9945 | 0.0273 | 0.3510 | 0.2886 | 0.3908 | 0.3141 |
NMF | 6.0819 | 6.1987 | 0.0117 | 0.0115 | 42.8 | 6.6 | 0.9497 | 0.0683 | 0.9108 | 0.7847 | 1.0580 | 0.8972 |
RSNMU | 4.2112 | 4.1512 | 0.0100 | 0.0093 | 44.2 | 6.7 | 0.9719 | 0.0540 | 0.4673 | 0.4298 | 0.5858 | 0.5571 |
RSPNMU | 3.8262 | 3.7149 | 0.0100 | 0.0096 | 44.3 | 6.8 | 0.9728 | 0.0556 | 0.4435 | 0.4466 | 0.5670 | 0.5782 |
GPOD | 0.8392 | 0.7685 | 0.0037 | 0.0036 | 52.1 | 6.0 | 0.9943 | 0.0276 | 0.3074 | 0.2690 | 0.3469 | 0.2936 |
| 0.4663 | 0.5719 | 0.0023 | 0.0024 | 57.0 | 6.7 | 0.9974 | 0.0279 | 0.1651 | 0.1923 | 0.1920 | 0.2287 |
| 0.4122 | 0.5453 | 0.0018 | 0.0019 | 59.0 | 6.7 | 0.9978 | 0.0271 | 0.1209 | 0.1626 | 0.1419 | 0.1941 |
|
0.3894
| 0.5667 |
0.0016
| 0.0017 |
59.6
| 6.5 |
0.9979
| 0.0258 |
0.1101
| 0.1522 |
0.1302
| 0.1816 |
Table 4.
Summary of the Performance Results ICA, NMF, RSNMU, RSPNMU, GPOD, and LPOD on the In-House Database
|
| RMS | PSNR (dB) | GFC | MI D65 to A | MI A to D65 |
---|
Methods | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD | Mean | STD |
---|
| | | | | | | | | | | | |
ICA | 5.2314 | 5.2818 | 0.0195 | 0.0185 | 36.8 | 7.3 | 0.9395 | 0.1418 | 1.0971 | 1.0050 | 1.5468 | 1.2902 |
NMF | 9.3288 | 12.8867 | 0.0354 | 0.0449 | 33.9 | 9.2 | 0.9148 | 0.1661 | 1.2454 | 1.0721 | 1.6029 | 1.3371 |
RSNMU | 9.6341 | 12.5329 | 0.0336 | 0.0444 | 33.9 | 8.8 | 0.9306 | 0.1592 | 0.9359 | 0.9051 | 1.2152 | 1.2309 |
RSPNMU | 9.7917 | 12.4103 | 0.0363 | 0.0471 | 34.1 | 12.8 | 0.9369 | 0.1481 | 0.9860 | 1.0193 | 1.2455 | 1.3264 |
GPOD | 4.3578 | 4.9381 | 0.0184 | 0.0172 | 37.3 | 7.2 | 0.9413 | 0.1406 | 1.0456 | 0.9495 | 1.3579 | 1.1436 |
| 2.6896 | 3.5335 | 0.0106 | 0.0091 | 41.1 | 5.8 | 0.9725 | 0.0738 | 0.6247 | 0.6481 | 0.7942 | 0.8730 |
| 2.3705 | 3.3125 | 0.0088 | 0.0073 | 42.5 | 5.6 | 0.9793 | 0.0609 | 0.4665 | 0.5362 | 0.5983 | 0.7200 |
|
2.1721
| 2.9949 |
0.0084
| 0.0068 |
43.0
| 5.9 |
0.9830
| 0.0541 |
0.3946
| 0.4838 |
0.5149
| 0.6557 |
| | | | | | | | | | | | |
ICA | 1.8990 | 2.0042 | 0.0142 | 0.0126 | 38.9 | 6.4 | 0.9483 | 0.1235 | 0.9220 | 1.1235 | 1.0178 | 1.3377 |
NMF | 7.7031 | 10.8437 | 0. 0313 | 0.0383 | 34.5 | 8.7 | 0.9207 | 0.1597 | 1.2298 | 1.0897 | 1.5782 | 1.3343 |
RSNMU | 7.4452 | 8.9995 | 0.0268 | 0.0306 | 35.0 | 8.0 | 0.9338 | 0.1531 | 0.8594 | 0.9098 | 1.1780 | 1.2505 |
RSPNMU | 7.2814 | 8.5673 | 0.0283 | 0.0313 | 35.3 | 12.4 | 0.9405 | 0.1483 | 0.9405 | 1.0407 | 1.2059 | 1.3552 |
GPOD | 1.8204 | 1.8930 | 0.0140 | 0.0124 | 39.1 | 6.3 | 0.9485 | 0.1286 | 0.9306 | 1.1306 | 1.0280 | 1.3544 |
| 1.9294 | 2.6498 | 0.0086 | 0.0068 | 42.5 | 5.3 | 0.9781 | 0.0633 | 0.4332 | 0.4952 | 0. 5964 | 0.6985 |
| 1.7406 | 2.4828 | 0.0076 | 0.0058 | 43.6 | 5.4 | 0.9831 | 0.0528 | 0.3428 | 0.4222 | 0.4612 | 0.5878 |
|
1.6181
| 2.3292 |
0.0073
| 0.0055 |
44.1
| 6.0 |
0.9866
| 0.0453 |
0.2987
| 0.3863 |
0.4080
| 0.5438 |
| | | | | | | | | | | | |
ICA | 0.7652 | 0.8261 | 0.0094 | 0.0066 | 41.7 | 5.5 | 0.9751 | 0.0677 | 0.2135 | 0.2430 | 0.2386 | 0.2560 |
NMF | 7.0359 | 10.9579 | 0.0248 | 0.0346 | 36.8 | 8.6 | 0.9245 | 0.1597 | 0.8674 | 0.9219 | 1.1282 | 1.1590 |
RSNMU | 5.5414 | 6.7945 | 0.0214 | 0.0230 | 36.3 | 7.4 | 0.9414 | 0.1414 | 0.6775 | 0.6324 | 0.8274 | 0.8014 |
RSPNMU | 5.2329 | 6.0331 | 0.0219 | 0.0228 | 37.3 | 12.7 | 0.9479 | 0.1331 | 0.7031 | 0.7665 | 0.8623 | 0.8974 |
GPOD |
0.7448
| 0.8067 | 0.0091 | 0.0063 | 42.0 | 5.4 | 0.9757 | 0.0666 | 0.2163 | 0.2445 | 0.2416 | 0.2573 |
| 0.9100 | 1.4119 | 0.0066 | 0.0046 | 44.6 | 4.9 | 0.9841 | 0.0506 | 0.2280 | 0.3131 | 0.2867 | 0.4228 |
| 0.8794 | 1.3388 | 0.0061 | 0.0042 | 45.3 | 5.4 | 0.9878 | 0.0421 | 0.1926 | 0.2692 | 0.2386 | 0.3472 |
| 0.8714 | 1.3617 |
0.0060
| 0.0041 |
45.9
| 6.6 |
0.9912
| 0.0333 |
0.1843
| 0.2557 |
0.2303
| 0.3344 |