Annex B (INFORMATIVE) TABLE OF THE GRAYSCALE STANDARD DISPLAY FUNCTION

The Grayscale Standard Display Function based on the Barten model was introduced in Section 7 and details are presented in Annex A above. This annex presents the Grayscale Standard Display Function as a table of values for Luminance as a function of the Just-Noticeable Difference Index for integer values of the Just-Noticeable Difference Index.

Table B-1Grayscale Standard Display Function: Luminance versus JND Index

JND L[cd/m2] JND L[cd/m2] JND L[cd/m2] JND L[cd/m2]
1 0.0500 2 0.0547 3 0.0594 4 0.0643
5 0.0696 6 0.0750 7 0.0807 8 0.0866
9 0.0927 10 0.0991 11 0.1056 12 0.1124
13 0.1194 14 0.1267 15 0.1342 16 0.1419
17 0.1498 18 0.1580 19 0.1664 20 0.1750
21 0.1839 22 0.1931 23 0.2025 24 0.2121
25 0.2220 26 0.2321 27 0.2425 28 0.2532
29 0.2641 30 0.2752 31 0.2867 32 0.2984
33 0.3104 34 0.3226 35 0.3351 36 0.3479
37 0.3610 38 0.3744 39 0.3880 40 0.4019
41 0.4161 42 0.4306 43 0.4454 44 0.4605
45 0.4759 46 0.4916 47 0.5076 48 0.5239
49 0.5405 50 0.5574 51 0.5746 52 0.5921
53 0.6100 54 0.6281 55 0.6466 56 0.6654
57 0.6846 58 0.7040 59 0.7238 60 0.7440
61 0.7644 62 0.7852 63 0.8064 64 0.8278
65 0.8497 66 0.8718 67 0.8944 68 0.9172
69 0.9405 70 0.9640 71 0.9880 72 1.0123
73 1.0370 74 1.0620 75 1.0874 76 1.1132
77 1.1394 78 1.1659 79 1.1928 80 1.2201
81 1.2478 82 1.2759 83 1.3044 84 1.3332
85 1.3625 86 1.3921 87 1.4222 88 1.4527
89 1.4835 90 1.5148 91 1.5465 92 1.5786
93 1.6111 94 1.6441 95 1.6775 96 1.7113
97 1.7455 98 1.7802 99 1.8153 100 1.8508
101 1.8868 102 1.9233 103 1.9601 104 1.9975
105 2.0352 106 2.0735 107 2.1122 108 2.1514
109 2.1910 110 2.2311 111 2.2717 112 2.3127
113 2.3543 114 2.3963 115 2.4388 116 2.4817
117 2.5252 118 2.5692 119 2.6137 120 2.6587
121 2.7041 122 2.7501 123 2.7966 124 2.8436
125 2.8912 126 2.9392 127 2.9878 128 3.0369
129 3.0866 130 3.1367 131 3.1875 132 3.2387
133 3.2905 134 3.3429 135 3.3958 136 3.4493
137 3.5033 138 3.5579 139 3.6131 140 3.6688
141 3.7252 142 3.7820 143 3.8395 144 3.8976
145 3.9563 146 4.0155 147 4.0754 148 4.1358
149 4.1969 150 4.2586 151 4.3209 152 4.3838
153 4.4473 154 4.5115 155 4.5763 156 4.6417
157 4.7078 158 4.7745 159 4.8419 160 4.9099
161 4.9785 162 5.0479 163 5.1179 164 5.1886
165 5.2599 166 5.3319 167 5.4046 168 5.4780
169 5.5521 170 5.6269 171 5.7024 172 5.7786
173 5.8555 174 5.9331 175 6.0114 176 6.0905
177 6.1702 178 6.2508 179 6.3320 180 6.4140
181 6.4968 182 6.5803 183 6.6645 184 6.7496
185 6.8354 186 6.9219 187 7.0093 188 7.0974
189 7.1863 190 7.2760 191 7.3665 192 7.4578
193 7.5500 194 7.6429 195 7.7366 196 7.8312
197 7.9266 198 8.0229 199 8.1199 200 8.2179
201 8.3167 202 8.4163 203 8.5168 204 8.6182
205 8.7204 206 8.8235 207 8.9275 208 9.0324
209 9.1382 210 9.2449 211 9.3525 212 9.4611
213 9.5705 214 9.6809 215 9.7922 216 9.9044
217 10.0176 218 10.1318 219 10.2469 220 10.3629
221 10.4800 222 10.5980 223 10.7169 224 10.8369
225 10.9579 226 11.0799 227 11.2028 228 11.3268
229 11.4518 230 11.5779 231 11.7050 232 11.8331
233 11.9622 234 12.0925 235 12.2237 236 12.3561
237 12.4895 238 12.6240 239 12.7596 240 12.8963
241 13.0341 242 13.1730 243 13.3130 244 13.4542
245 13.5965 246 13.7399 247 13.8844 248 14.0302
249 14.1770 250 14.3251 251 14.4743 252 14.6247
253 14.7763 254 14.9291 255 15.0831 256 15.2384
257 15.3948 258 15.5525 259 15.7114 260 15.8716
261 16.0330 262 16.1957 263 16.3596 264 16.5249
265 16.6914 266 16.8592 267 17.0283 268 17.1987
269 17.3705 270 17.5436 271 17.7180 272 17.8938
273 18.0709 274 18.2494 275 18.4293 276 18.6105
277 18.7931 278 18.9772 279 19.1626 280 19.3495
281 19.5378 282 19.7275 283 19.9187 284 20.1113
285 20.3054 286 20.5009 287 20.6980 288 20.8965
289 21.0966 290 21.2981 291 21.5012 292 21.7058
293 21.9120 294 22.1197 295 22.3289 296 22.5398
297 22.7522 298 22.9662 299 23.1818 300 23.3990
301 23.6179 302 23.8383 303 24.0605 304 24.2842
305 24.5097 306 24.7368 307 24.9656 308 25.1961
309 25.4283 310 25.6622 311 25.8979 312 26.1353
313 26.3744 314 26.6153 315 26.8580 316 27.1025
317 27.3488 318 27.5969 319 27.8468 320 28.0985
321 28.3521 322 28.6075 323 28.8648 324 29.1240
325 29.3851 326 29.6481 327 29.9130 328 30.1798
329 30.4486 330 30.7193 331 30.9920 332 31.2667
333 31.5434 334 31.8220 335 32.1027 336 32.3854
337 32.6702 338 32.9570 339 33.2459 340 33.5369
341 33.8300 342 34.1251 343 34.4224 344 34.7219
345 35.0235 346 35.3272 347 35.6332 348 35.9413
349 36.2516 350 36.5642 351 36.8790 352 37.1960
353 37.5153 354 37.8369 355 38.1608 356 38.4870
357 38.8155 358 39.1463 359 39.4795 360 39.8151
361 40.1530 362 40.4933 363 40.8361 364 41.1813
365 41.5289 366 41.8790 367 42.2316 368 42.5866
369 42.9442 370 43.3043 371 43.6669 372 44.0321
373 44.3998 374 44.7702 375 45.1431 376 45.5187
377 45.8969 378 46.2778 379 46.6613 380 47.0475
381 47.4365 382 47.8281 383 48.2225 384 48.6197
385 49.0196 386 49.4224 387 49.8279 388 50.2363
389 50.6475 390 51.0616 391 51.4786 392 51.8985
393 52.3213 394 52.7470 395 53.1757 396 53.6074
397 54.0421 398 54.4798 399 54.9205 400 55.3643
401 55.8112 402 56.2611 403 56.7142 404 57.1704
405 57.6298 406 58.0923 407 58.5581 408 59.0270
409 59.4992 410 59.9747 411 60.4534 412 60.9354
413 61.4208 414 61.9094 415 62.4015 416 62.8969
417 63.3958 418 63.8980 419 64.4037 420 64.9129
421 65.4256 422 65.9418 423 66.4615 424 66.9848
425 67.5117 426 68.0422 427 68.5763 428 69.1140
429 69.6555 430 70.2006 431 70.7495 432 71.3021
433 71.8585 434 72.4187 435 72.9827 436 73.5505
437 74.1222 438 74.6978 439 75.2773 440 75.8608
441 76.4482 442 77.0396 443 77.6351 444 78.2346
445 78.8381 446 79.4458 447 80.0576 448 80.6735
449 81.2936 450 81.9179 451 82.5464 452 83.1792
453 83.8163 454 84.4577 455 85.1034 456 85.7535
457 86.4079 458 87.0668 459 87.7302 460 88.3980
461 89.0703 462 89.7472 463 90.4286 464 91.1147
465 91.8053 466 92.5006 467 93.2006 468 93.9053
469 94.6147 470 95.3289 471 96.0480 472 96.7718
473 97.5005 474 98.2341 475 98.9726 476 99.7161
477 100.4646 478 101.2181 479 101.9767 480 102.7403
481 103.5091 482 104.2830 483 105.0621 484 105.8464
485 106.6359 486 107.4308 487 108.2309 488 109.0364
489 109.8473 490 110.6637 491 111.4854 492 112.3127
493 113.1455 494 113.9838 495 114.8278 496 115.6773
497 116.5326 498 117.3935 499 118.2602 500 119.1326
501 120.0109 502 120.8950 503 121.7850 504 122.6809
505 123.5828 506 124.4907 507 125.4047 508 126.3247
509 127.2508 510 128.1831 511 129.1215 512 130.0662
513 131.0172 514 131.9745 515 132.9381 516 133.9082
517 134.8847 518 135.8676 519 136.8571 520 137.8531
521 138.8557 522 139.8650 523 140.8810 524 141.9037
525 142.9331 526 143.9694 527 145.0125 528 146.0625
529 147.1195 530 148.1835 531 149.2545 532 150.3326
533 151.4178 534 152.5101 535 153.6097 536 154.7166
537 155.8307 538 156.9523 539 158.0812 540 159.2175
541 160.3614 542 161.5128 543 162.6718 544 163.8384
545 165.0128 546 166.1948 547 167.3847 548 168.5824
549 169.7880 550 171.0015 551 172.2230 552 173.4526
553 174.6902 554 175.9360 555 177.1900 556 178.4522
557 179.7227 558 181.0016 559 182.2889 560 183.5846
561 184.8889 562 186.2017 563 187.5232 564 188.8533
565 190.1921 566 191.5398 567 192.8963 568 194.2617
569 195.6360 570 197.0194 571 198.4119 572 199.8134
573 201.2242 574 202.6442 575 204.0735 576 205.5122
577 206.9603 578 208.4179 579 209.8851 580 211.3618
581 212.8482 582 214.3444 583 215.8503 584 217.3661
585 218.8919 586 220.4276 587 221.9733 588 223.5292
589 225.0952 590 226.6715 591 228.2581 592 229.8550
593 231.4624 594 233.0803 595 234.7088 596 236.3479
597 237.9977 598 239.6583 599 241.3297 600 243.0120
601 244.7054 602 246.4097 603 248.1252 604 249.8519
605 251.5899 606 253.3392 607 255.0999 608 256.8721
609 258.6559 610 260.4512 611 262.2583 612 264.0772
613 265.9079 614 267.7506 615 269.6052 616 271.4720
617 273.3509 618 275.2420 619 277.1455 620 279.0614
621 280.9897 622 282.9306 623 284.8841 624 286.8504
625 288.8294 626 290.8213 627 292.8262 628 294.8442
629 296.8752 630 298.9195 631 300.9770 632 303.0480
633 305.1324 634 307.2304 635 309.3420 636 311.4673
637 313.6065 638 315.7595 639 317.9266 640 320.1077
641 322.3030 642 324.5126 643 326.7365 644 328.9749
645 331.2278 646 333.4953 647 335.7776 648 338.0747
649 340.3867 650 342.7137 651 345.0558 652 347.4131
653 349.7858 654 352.1738 655 354.5773 656 356.9964
657 359.4312 658 361.8818 659 364.3483 660 366.8308
661 369.3294 662 371.8442 663 374.3754 664 376.9229
665 379.4869 666 382.0676 667 384.6650 668 387.2793
669 389.9105 670 392.5587 671 395.2241 672 397.9068
673 400.6069 674 403.3245 675 406.0596 676 408.8125
677 411.5833 678 414.3719 679 417.1787 680 420.0036
681 422.8468 682 425.7085 683 428.5886 684 431.4875
685 434.4051 686 437.3415 687 440.2970 688 443.2717
689 446.2655 690 449.2788 691 452.3116 692 455.3640
693 458.4361 694 461.5282 695 464.6402 696 467.7724
697 470.9249 698 474.0977 699 477.2911 700 480.5052
701 483.7400 702 486.9958 703 490.2726 704 493.5706
705 496.8900 706 500.2308 707 503.5932 708 506.9774
709 510.3835 710 513.8116 711 517.2619 712 520.7344
713 524.2294 714 527.7471 715 531.2874 716 534.8507
717 538.4370 718 542.0465 719 545.6793 720 549.3356
721 553.0155 722 556.7192 723 560.4469 724 564.1986
725 567.9746 726 571.7750 727 575.6000 728 579.4497
729 583.3242 730 587.2238 731 591.1486 732 595.0988
733 599.0744 734 603.0758 735 607.1030 736 611.1563
737 615.2357 738 619.3415 739 623.4738 740 627.6328
741 631.8187 742 636.0316 743 640.2717 744 644.5392
745 648.8343 746 653.1571 747 657.5079 748 661.8867
749 666.2939 750 670.7295 751 675.1937 752 679.6868
753 684.2089 754 688.7602 755 693.3409 756 697.9512
757 702.5913 758 707.2613 759 711.9615 760 716.6921
761 721.4531 762 726.2450 763 731.0678 764 735.9217
765 740.8070 766 745.7238 767 750.6723 768 755.6529
769 760.6655 770 765.7106 771 770.7882 772 775.8986
773 781.0420 774 786.2187 775 791.4287 776 796.6724
777 801.9500 778 807.2616 779 812.6075 780 817.9880
781 823.4031 782 828.8533 783 834.3386 784 839.8594
785 845.4158 786 851.0081 787 856.6365 788 862.3012
789 868.0025 790 873.7407 791 879.5158 792 885.3283
793 891.1783 794 897.0661 795 902.9919 796 908.9559
797 914.9585 798 920.9998 799 927.0801 800 933.1997
801 939.3588 802 945.5577 803 951.7966 804 958.0758
805 964.3956 806 970.7561 807 977.1578 808 983.6008
809 990.0853 810 996.6118 811 1003.1800 812 1009.7910
813 1016.4450 814 1023.1420 815 1029.8820 816 1036.6650
817 1043.4930 818 1050.3640 819 1057.2800 820 1064.2400
821 1071.2460 822 1078.2960 823 1085.3920 824 1092.5340
825 1099.7220 826 1106.9570 827 1114.2380 828 1121.5670
829 1128.9420 830 1136.3660 831 1143.8370 832 1151.3570
833 1158.9250 834 1166.5420 835 1174.2080 836 1181.9240
837 1189.6890 838 1197.5050 839 1205.3710 840 1213.2890
841 1221.2570 842 1229.2770 843 1237.3480 844 1245.4720
845 1253.6480 846 1261.8770 847 1270.1600 848 1278.4950
849 1286.8850 850 1295.3290 851 1303.8270 852 1312.3810
853 1320.9900 854 1329.6540 855 1338.3740 856 1347.1510
857 1355.9840 858 1364.8750 859 1373.8230 860 1382.8290
861 1391.8930 862 1401.0160 863 1410.1970 864 1419.4380
865 1428.7390 866 1438.1000 867 1447.5220 868 1457.0040
869 1466.5480 870 1476.1530 871 1485.8210 872 1495.5510
873 1505.3440 874 1515.2010 875 1525.1210 876 1535.1050
877 1545.1540 878 1555.2680 879 1565.4470 880 1575.6930
881 1586.0040 882 1596.3820 883 1606.8280 884 1617.3410
885 1627.9220 886 1638.5710 887 1649.2900 888 1660.0780
889 1670.9350 890 1681.8630 891 1692.8620 892 1703.9310
893 1715.0730 894 1726.2860 895 1737.5730 896 1748.9320
897 1760.3650 898 1771.8720 899 1783.4530 900 1795.1090
901 1806.8410 902 1818.6490 903 1830.5330 904 1842.4940
905 1854.5330 906 1866.6500 907 1878.8450 908 1891.1190
909 1903.4730 910 1915.9060 911 1928.4200 912 1941.0160
913 1953.6930 914 1966.4520 915 1979.2940 916 1992.2190
917 2005.2270 918 2018.3200 919 2031.4980 920 2044.7620
921 2058.1110 922 2071.5470 923 2085.0700 924 2098.6800
925 2112.3790 926 2126.1670 927 2140.0440 928 2154.0110
929 2168.0690 930 2182.2170 931 2196.4580 932 2210.7910
933 2225.2170 934 2239.7360 935 2254.3500 936 2269.0580
937 2283.8620 938 2298.7620 939 2313.7590 940 2328.8530
941 2344.0450 942 2359.3350 943 2374.7250 944 2390.2140
945 2405.8040 946 2421.4960 947 2437.2890 948 2453.1850
949 2469.1840 950 2485.2860 951 2501.4940 952 2517.8060
953 2534.2250 954 2550.7500 955 2567.3820 956 2584.1230
957 2600.9720 958 2617.9310 959 2634.9990 960 2652.1790
961 2669.4710 962 2686.8740 963 2704.3910 964 2722.0220
965 2739.7670 966 2757.6270 967 2775.6040 968 2793.6970
969 2811.9080 970 2830.2380 971 2848.6870 972 2867.2550
973 2885.9440 974 2904.7550 975 2923.6880 976 2942.7450
977 2961.9250 978 2981.2300 979 3000.6600 980 3020.2170
981 3039.9020 982 3059.7140 983 3079.6550 984 3099.7260
985 3119.9270 986 3140.2600 987 3160.7260 988 3181.3240
989 3202.0570 990 3222.9240 991 3243.9280 992 3265.0680
993 3286.3460 994 3307.7620 995 3329.3180 996 3351.0140
997 3372.8520 998 3394.8310 999 3416.9540 1000 3439.2210
1001 3461.6330 1002 3484.1910 1003 3506.8970 1004 3529.7500
1005 3552.7520 1006 3575.9030 1007 3599.2060 1008 3622.6610
1009 3646.2680 1010 3670.0300 1011 3693.9460 1012 3718.0180
1013 3742.2480 1014 3766.6350 1015 3791.1810 1016 3815.8880
1017 3840.7550 1018 3865.7850 1019 3890.9780 1020 3916.3350
1021 3941.8580 1022 3967.5470 1023 3993.4040