Table 1.
Stokes Parameters and for Mires
Distance | | | | | | | | |
2L | 974.22 | −1293.81 | 485.19 | 544.96 | −143.16 | −100.14 | 385.69 | 59.71 |
L | 1016.78 | −1273.59 | 343.8 | 485.25 | −100.6 | −79.92 | 244.3 | 151.01 |
L/2 | 1050.58 | −1262.43 | 250.42 | 451.01 | −66.8 | −68.76 | 150.92 | 116.77 |
L/4 | 1066.76 | −1239.94 | 215 | 426.88 | −50.62 | −45.67 | 115.5 | 92.64 |
L/10 | 1079.92 | −1224.31 | 182.4 | 399.33 | −37.46 | −30.64 | 82.9 | 66.09 |
L/20 | 1108.02 | −1209.49 | 131.34 | 363.23 | −9.36 | −15.82 | 31.84 | 28.99 |
0 | 1117.38 | −1193.67 | 99.5 | 334.24 | 0 | 0 | 0 | 0 |
Table 2.
Stokes Parameters, Their Deviation from the Stokes Parameters at Zero Exposure , and the Value of These Deviations Expressed as Percentages for Determining the Invariance of the Method to Shifting for the Letter R, Digit 5, and Cross
| | | | | | | | | | | | | |
R | 0 | 1012.22 | −452.24 | 517.31 | −126.54 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | 997.87 | −455.36 | 521.42 | −124.95 | 14.35 | 3.12 | 4.11 | 1.59 | 1.41 | 0.7 | 0.79 | 1.25 |
| 10 | 839.6 | −561.7 | 523.84 | −46.48 | 172.62 | 109.46 | 6.53 | 80.06 | 17.05 | 24.2 | 1.26 | 63.27 |
| 20 | 757.04 | −610.61 | 626.02 | 1.08 | 255.18 | 390.6 | 108.7 | 125.46 | 25.21 | 86.37 | 21.01 | 99.14 |
| 40 | 737.48 | −619.45 | 653.66 | 19.84 | 274.74 | 167.21 | 136.35 | 106.7 | 27.14 | 36.97 | 26.35 | 84.32 |
5 | C | 959.21 | −445.29 | 465.21 | −113.68 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | 953.75 | −447.35 | 468.36 | −111.95 | 5.46 | 2.06 | 3.15 | 1.73 | 0.57 | 0.46 | 0.68 | 1.52 |
| 10 | 845.58 | −534.29 | 472.39 | −57.34 | 113.63 | 89 | 7.18 | 56.34 | 11.84 | 19.98 | 1.54 | 49.56 |
| 20 | 791.87 | −563.63 | 543.81 | −25.23 | 167.34 | 118.34 | 78.6 | 88.45 | 17.44 | 26.57 | 16.89 | 77.8 |
| 40 | 779.5 | −567.39 | 564.44 | −11.94 | 179.71 | 122.1 | 99.23 | 101.74 | 18.73 | 27.42 | 21.33 | 89.5 |
| 0 | 822.22 | −457.84 | 443.4 | −42.94 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | 824.6 | −449.08 | 437.54 | −43.88 | 2.38 | 8.76 | 5.86 | 0.94 | 0.28 | 1.91 | 1.32 | 2.19 |
| 10 | 836.75 | −444.07 | 416.53 | −47.95 | 14.53 | 13.77 | 26.87 | 5.01 | 1.76 | 3.01 | 6.05 | 11.16 |
| 20 | 840.31 | −427.99 | 387.17 | −56.59 | 18.09 | 0.93 | 56.23 | 13.65 | 2.2 | 0.2 | 12.68 | 31.78 |
| 40 | 849.32 | −413.42 | 360.27 | −63.64 | 27.1 | 44.42 | 83.13 | 20.7 | 3.29 | 9.7 | 18.74 | 48.2 |
Table 3.
Stokes Parameters, Their Deviation from the Stokes Parameters at Zero Exposure , and the Value of These Deviations Expressed as Percentages for Determining the Invariance of the Method to Changes in the Scale for the Letter R, Digit 5, and Cross
| | | | | | | | | | | | | |
R | 0 | 729.66 | −593.95 | 643.67 | 23.22 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | 733.56 | −585.05 | 633.11 | 22.88 | 3.9 | 8.9 | 10.56 | 0.34 | 0.53 | 1.5 | 1.64 | 1.46 |
| 10 | 744.38 | −560.86 | 605.92 | 13.38 | 14.72 | 33.09 | 37.75 | 9.84 | 2.01 | 5.57 | 5.86 | 42.37 |
| 20 | 751.5 | −535.5 | 572.28 | 0.42 | 21.84 | 58.45 | 71.39 | 22.8 | 2.99 | 9.84 | 11.09 | 98.19 |
| 40 | 770.8 | −522.4 | 545.88 | −10.16 | 41.14 | 71.55 | 97.79 | 13.06 | 5.64 | 12.04 | 15.19 | 56.24 |
5 | 0 | 765.18 | −542.3 | 551.87 | −12.02 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | 774.85 | −530.43 | 542.14 | −11.95 | 9.67 | 11.87 | 9.73 | 0.07 | 1.26 | 2.18 | 1.76 | 0.58 |
| 10 | 785.38 | −507.25 | 516.78 | −17.42 | 20.2 | 35.05 | 35.09 | 5 | 2.64 | 6.46 | 6.36 | 41.6 |
| 20 | 795.67 | −485.39 | 489.36 | −25.23 | 30.49 | 56.91 | 62.51 | 13.21 | 3.98 | 10.49 | 11.32 | 109.3 |
| 40 | 807.6 | −465.79 | 462.06 | −33.8 | 42.42 | 76.51 | 89.81 | 21.78 | 5.54 | 14.11 | 16.27 | 181.2 |
| 0 | 861.19 | −411.87 | 334.37 | −70.97 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 5 | 870.19 | −405.87 | 328.03 | −71.87 | 9 | 6 | 6.34 | 0.9 | 1.04 | 1.45 | 1.89 | 1.27 |
| 10 | 880.24 | −382.35 | 294.32 | −77.44 | 19.05 | 35.52 | 48.05 | 7.47 | 2.21 | 8.5 | 14.82 | 10.67 |
| 20 | 879.57 | −367.22 | 268.26 | −82.97 | 18.38 | 50.65 | 74.11 | 13 | 2.13 | 12.12 | 21.64 | 18.58 |
| 40 | 888.73 | −353.25 | 241.6 | −87.33 | 27.54 | 64.62 | 82.77 | 17.36 | 3.19 | 15.46 | 24.17 | 24.81 |
Table 4.
Stokes Parameters, the Absolute and Relative Deviations , and Percentages from the Stokes Parameters of the Object when the Angle of Rotation Equals 0 to 90 Degrees for Geometric Figures, Letters, and Digits
Object | Angle of rotation | | | | | | | | | | | | |
| 0 | 996.54 | −1409 | 824.25 | 668.54 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 15 | 986.48 | −1419.3 | 827.31 | 675.54 | 10.06 | 10.28 | −3.06 | −7 | 1.00949 | −0.73 | −0.3712 | −1.0471 |
| 30 | 976.72 | −1432.1 | 835.05 | 690.64 | 19.82 | 23.09 | −10.8 | −22.1 | 1.98888 | −1.64 | −1.3103 | −3.3057 |
| 45 | 979.94 | −1439.9 | 834.38 | 692.8 | 16.6 | 30.89 | −10.13 | −24.26 | 1.66576 | −2.19 | −1.229 | −3.6288 |
| 90 | 975.95 | −1441.4 | 833.36 | 691.56 | 20.59 | 32.35 | −9.11 | −23.02 | 2.06615 | −2.3 | −1.1052 | −3.4433 |
| 0 | 968.11 | −1442 | 830.68 | 694.54 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 15 | 969.06 | −1453.4 | 840 | 704.4 | −0.95 | 11.45 | −9.32 | −9.86 | −0.0981 | −0.79 | −1.122 | −1.4196 |
| 30 | 962.7 | −1453.1 | 840.62 | 708.23 | 5.41 | 11.14 | −9.94 | −13.69 | 0.55882 | −0.77 | −1.1966 | −1.9711 |
| 45 | 963.93 | −1455.2 | 834.57 | 702.05 | 4.18 | 13.24 | −3.89 | −7.51 | 0.43177 | −0.92 | −0.4683 | −1.0813 |
| 90 | 956.97 | −1456.6 | 834.2 | 704.15 | 11.14 | 14.62 | −3.52 | −9.61 | 1.1507 | −1.01 | −0.4237 | −1.3836 |
A | 0 | 962.4 | −1405 | 837.74 | 710.01 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 15 | 971.18 | −1453.3 | 841.31 | 710.71 | −8.78 | 48.31 | −3.57 | −0.7 | −0.9123 | −3.44 | −0.4261 | −0.0986 |
| 30 | 967.47 | −1449.6 | 838.65 | 709.9 | −5.07 | 44.63 | −0.91 | 0.11 | −0.5268 | −3.18 | −0.1086 | 0.01549 |
| 45 | 966.59 | −1447.9 | 842.23 | 712.4 | −4.19 | 42.96 | −4.49 | −2.39 | −0.4354 | −3.06 | −0.536 | −0.3366 |
| 90 | 986.86 | −1463.3 | 829.25 | 704.66 | −24.46 | 58.39 | 8.49 | 5.35 | −2.5416 | −4.16 | 1.01344 | 0.75351 |
S | 0 | 934.39 | −1440.3 | 846.8 | 737.84 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 15 | 936.89 | −1462.8 | 836.97 | 742.77 | −2.5 | 22.53 | 9.83 | −4.93 | −0.2676 | −1.56 | 1.16084 | −0.6682 |
| 30 | 942.15 | −1474.8 | 834.7 | 736.46 | −7.76 | 34.46 | 12.1 | 1.38 | −0.8305 | −2.39 | 1.42891 | 0.18703 |
| 45 | 925.76 | −1458.3 | 835.84 | 742.7 | 8.63 | 17.99 | 10.96 | −4.86 | 0.9236 | −1.25 | 1.29428 | −0.6587 |
2 | 0 | 930.19 | −1482.2 | 829.1 | 745.13 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 15 | 932.11 | −1488.9 | 822.79 | 743.64 | −1.92 | 6.71 | 6.31 | 1.49 | 0.16018 | −0.45 | 0.76107 | 0.19997 |
| 30 | 930.66 | −1487 | 824.53 | 747.28 | −0.47 | 4.76 | 4.57 | −2.15 | −0.0505 | −0.32 | ‘ 0.00551 | −0.2885 |
| 45 | 924.23 | −1472.7 | 828.88 | 750.47 | 5.96 | −9.49 | 0.22 | −5.34 | 0.64073 | 0.64 | 0.02653 | −0.7167 |
| 90 | 929.89 | −1491 | 823.41 | 747.62 | 0.3 | 8.79 | 5.69 | −2.49 | 0.03225 | −0.59 | 0.68629 | −0.3342 |
8 | 0 | 929.35 | −1483.6 | 811.18 | 744.21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 15 | 935.06 | −1489.5 | 804.11 | 739.92 | −5.71 | 5.97 | 7.07 | 4.29 | −0.6144 | −0.4 | 0.87157 | 0.57645 |
| 30 | 928.91 | −1479.4 | 802.98 | 741.46 | 0.44 | −4.13 | 8.2 | 2.75 | 0.04734 | 0.278 | 1.01087 | 0.36952 |
| 45 | 934.96 | −1484.18 | 798.27 | 739.59 | −5.61 | 0.62 | 12.91 | 4.62 | −0.60365 | −0.042 | 1.591509 | 0.620793 |
| 90 | 935.96 | −1489.21 | 796.08 | 739.17 | −6.61 | 5.65 | 15.1 | 5.04 | −0.71125 | −0.381 | 1.861486 | 0.677228 |
Table 5.
Stokes Parameters for Objects with Equal Areas and Different Shapes
Objects | | | | |
| 884.36 | −1348.05 | 693.51 | 616.71 |
| 950.44 | −1353.43 | 361.95 | 547.73 |
| 1012.47 | −1296.19 | 170.22 | 457.45 |
| 1026.79 | −1290.14 | 167.04 | 448.75 |
| 1020.74 | −1271.01 | 145.4 | 448.07 |
| 1036.22 | −1251.69 | 90.75 | 410.96 |
| 1092.07 | −1213.25 | −92.06 | 307.32 |
| 1113.57 | −1203.64 | −122.92 | 276.01 |
| 786.07 | −1241.68 | 549.42 | 569.82 |
| 1058.67 | −1232.29 | 19.3 | 376.94 |
Table 6.
Database for 3D Objects at Different Observation Angles of Object Images
Observation angle | | | | | | | | |
Cylinder |
0 | 868.48 | −274.26 | 232.73 | −49.72 | 1 | −0.32 | 0.27 | −0.06 |
15 | 771.36 | −350.76 | 385.22 | −3.32 | 1 | −0.45 | 0.5 | 0 |
30 | 723.05 | −388.83 | 458.3 | 26.59 | 1 | −0.54 | 0.63 | 0.04 |
45 | 693.35 | −407.44 | 495.81 | 44.73 | 1 | −0.59 | 0.72 | 0.06 |
60 | 685.25 | −405.75 | 498.01 | 49.47 | 1 | −0.59 | 0.73 | 0.07 |
75 | 688.12 | −393.26 | 483.95 | 45.4 | 1 | −0.57 | 0.7 | 0.07 |
Cone |
0 | 697.91 | −374.57 | 461.24 | 39.05 | 1 | −0.54 | 0.66 | 0.06 |
15 | 708.33 | −353.15 | 437.01 | 30.79 | 1 | −0.5 | 0.62 | 0.04 |
30 | 725.7 | −335.64 | 410.14 | 21.62 | 1 | −0.46 | 0.57 | 0.03 |
45 | 739.44 | −324.9 | 382.02 | 10.44 | 1 | −0.44 | 0.52 | 0.01 |
60 | 751.2 | −302.81 | 347.48 | 0.36 | 1 | −0.4 | 0.46 | 0 |
75 | 761.01 | −291.04 | 325.85 | −5.09 | 1 | −0.38 | 0.43 | −0.01 |
Cube |
0 | 782.19 | −263.25 | 290.87 | −12.91 | 1 | −0.34 | 0.37 | −0.02 |
15 | 786.53 | −255.72 | 272.32 | −19.17 | 1 | −0.33 | 0.35 | −0.02 |
30 | 792.39 | −247.48 | 255 | −24.75 | 1 | −0.31 | 0.32 | −0.03 |
45 | 803.35 | −234.67 | 229.58 | −30.03 | 1 | −0.29 | 0.29 | −0.04 |
60 | 819.59 | −217.14 | 196.2 | −36.63 | 1 | −0.26 | 0.24 | −0.04 |
75 | 826.62 | −210.59 | 182.42 | −39.5 | 1 | −0.25 | 0.22 | −0.05 |
Parallelepiped |
0 | 831.5 | −198.85 | 158.09 | −44.98 | 1 | −0.24 | 0.19 | −0.05 |
15 | 839.96 | −188.67 | 133.37 | −49.4 | 1 | −0.22 | 0.16 | −0.06 |
30 | 842.42 | −178.6 | 110.09 | −53.98 | 1 | −0.21 | 0.13 | −0.06 |
45 | 850.53 | −173.34 | 90.97 | −57.01 | 1 | −0.2 | 0.11 | −0.07 |
60 | 855.62 | −169.26 | 79.09 | −59.38 | 1 | −0.2 | 0.09 | −0.07 |
75 | 852.55 | −169.47 | 73.99 | −60.15 | 1 | −0.2 | 0.09 | −0.07 |
Table 7.
Stokes Parameters and Normalized Stokes Parameters for Real-Object Images and Different Observation Angles
Angle | | | | | | | | |
Fighter-airplane |
0 | 957.01 | −460 | 145.31 | −197.85 | 1 | −0.48 | 0.15 | −0.21 |
15 | 904.84 | −522.49 | 307.32 | −177.84 | 1 | −0.58 | 0.34 | −0.2 |
30 | 851.96 | −569.13 | 424.67 | −156.04 | 1 | −0.67 | 0.5 | −0.18 |
45 | 804.94 | −601.5 | 503.57 | −138.38 | 1 | −0.75 | 0.63 | −0.17 |
60 | 769.23 | −633.45 | 569.07 | −118.43 | 1 | −0.82 | 0.74 | −0.15 |
75 | 745.6 | −666.83 | 626.8 | −96.92 | 1 | −0.89 | 0.84 | −0.13 |
APC |
0 | 716.88 | −675.8 | 654.86 | −89 | 1 | −0.94 | 0.91 | −0.12 |
15 | 692.94 | −687.27 | 681.33 | −77.58 | 1 | −0.99 | 0.98 | −0.11 |
30 | 683.89 | −703.17 | 704.94 | −64.57 | 1 | −1.03 | 1.03 | −0.09 |
45 | 683.41 | −708.32 | 714.08 | −58.81 | 1 | −1.04 | 1.04 | −0.09 |
60 | 667.84 | −710.09 | 721.4 | −55.8 | 1 | −1.06 | 1.08 | −0.08 |
75 | 663.21 | −708.57 | 720.96 | −58.25 | 1 | −1.07 | 1.09 | −0.09 |
Tank |
0 | 668.34 | −703.82 | 720.54 | −57.62 | 1 | −1.05 | 1.08 | −0.09 |
15 | 669.2 | −701.2 | 718.48 | −58.84 | 1 | −1.05 | 1.07 | −0.09 |
30 | 664.61 | −699.27 | 716.49 | −58.81 | 1 | −1.05 | 1.08 | −0.09 |
45 | 671.21 | −694.24 | 709.41 | −61.57 | 1 | −1.03 | 1.06 | −0.09 |
60 | 668.82 | −688.02 | 701.86 | −63.18 | 1 | −1.03 | 1.05 | −0.09 |
75 | 677.06 | −681.45 | 692.33 | −67.38 | 1 | −1.01 | 1.02 | −0.1 |
Truck |
0 | 679.95 | −681.89 | 683.62 | −68.19 | 1 | −1 | 1.01 | −0.1 |
15 | 689.61 | −671.56 | 675.07 | −73.05 | 1 | −0.97 | 0.98 | −0.11 |
30 | 687.72 | −663.92 | 662.26 | −77.96 | 1 | −0.97 | 0.96 | −0.11 |
45 | 693.7 | −656.57 | 650.77 | −81.22 | 1 | −0.95 | 0.94 | −0.12 |
60 | 701.65 | −650.76 | 640.29 | −86.29 | 1 | −0.93 | 0.91 | −0.12 |
75 | 711.11 | −649.2 | 625.47 | −91.15 | 1 | −0.91 | 0.88 | −0.13 |
Table 8.
Stokes Parameters and Normalized Stokes Parameters for Fingerprints
Fingerprint | | | | | | | | |
a | 739.79 | −640.71 | 297.48 | −105.19 | 1 | −0.87 | 0.4 | −0.14 |
b | 692.36 | −675.24 | 394.64 | −74 | 1 | −0.98 | 0.57 | −0.11 |
c | 668.22 | −705.28 | 466.11 | −51.42 | 1 | −1.06 | 0.7 | −0.08 |
d | 627.81 | −726.84 | 530.72 | −20.69 | 1 | −1.16 | 0.85 | −0.03 |
Table 9.
Stokes Parameters and Normalized Stokes Parameters for Text-Objects That Differ in One Word and One Letter
Text | | | | | | | | |
a | 669.5 | −687.39 | 411.64 | −61.38 | 1 | −1.03 | 0.61 | −0.09 |
b | 680.2 | −677.54 | 383.4 | −67.48 | 1 | −1 | 0.56 | −0.1 |
c | 682.19 | −679.32 | 396.82 | −61.75 | 1 | −1 | 0.58 | −0.09 |