RICOH THETA Lens Specification - Lens distortion table

THETA API Usage
1

RICOH published THETA lens specification information for the THETA X, THETA Z1, and THETA V.

Refer to the official specification above. I am including information here for convenience

THETA Lens Spec

This page explains THETA’s fisheye lens’ characteristic value, especially for distortion table.

[!NOTE]
They are just design value. If you want more accurate characteristics, you need to do calibration process for each camera by yourself.

THETA X

  • Focal Length = 1.37mm

  • Pixel Pitch = 0.8um/px @11K mode, 1.6um/px @5.5K mode

  • Entrance Pupil Position = 13.6mm @90deg

  • Distortion Table

    Half AoV
    [deg]    		 Image Height
    [mm]    		 Pixels(11K)
    [px]    		 Pixels(5.5K)
    [px]
    0 0.0000 0.0 0.0
    1 0.0244 30.5 15.3
    2 0.0489 61.1 30.5
    3 0.0733 91.6 45.8
    4 0.0977 122.1 61.1
    5 0.1221 152.6 76.3
    6 0.1465 183.1 91.6
    7 0.1709 213.6 106.8
    8 0.1952 244.1 122.0
    9 0.2196 274.5 137.3
    10 0.2439 304.9 152.5
    11 0.2683 335.3 167.7
    12 0.2926 365.7 182.9
    13 0.3169 396.1 198.0
    14 0.3412 426.5 213.2
    15 0.3655 456.8 228.4
    16 0.3897 487.2 243.6
    17 0.4140 517.5 258.8
    18 0.4383 547.9 274.0
    19 0.4626 578.3 289.1
    20 0.4869 608.7 304.3
    21 0.5113 639.1 319.5
    22 0.5356 669.5 334.8
    23 0.5600 700.0 350.0
    24 0.5844 730.5 365.2
    25 0.6088 761.0 380.5
    26 0.6332 791.6 395.8
    27 0.6577 822.2 411.1
    28 0.6823 852.8 426.4
    29 0.7068 883.5 441.8
    30 0.7314 914.3 457.1
    31 0.7561 945.1 472.5
    32 0.7808 975.9 488.0
    33 0.8055 1006.9 503.4
    34 0.8303 1037.8 518.9
    35 0.8551 1068.8 534.4
    36 0.8799 1099.9 550.0
    37 0.9048 1131.0 565.5
    38 0.9298 1162.2 581.1
    39 0.9548 1193.4 596.7
    40 0.9798 1224.7 612.4
    41 1.0048 1256.0 628.0
    42 1.0299 1287.4 643.7
    43 1.0550 1318.8 659.4
    44 1.0802 1350.2 675.1
    45 1.1053 1381.6 690.8
    46 1.1305 1413.1 706.5
    47 1.1556 1444.5 722.3
    48 1.1808 1476.0 738.0
    49 1.2060 1507.5 753.7
    50 1.2311 1538.9 769.4
    51 1.2562 1570.3 785.1
    52 1.2813 1601.7 800.8
    53 1.3064 1633.0 816.5
    54 1.3314 1664.2 832.1
    55 1.3563 1695.4 847.7
    56 1.3812 1726.5 863.2
    57 1.4059 1757.4 878.7
    58 1.4306 1788.3 894.1
    59 1.4552 1819.0 909.5
    60 1.4797 1849.6 924.8
    61 1.5040 1880.0 940.0
    62 1.5282 1910.2 955.1
    63 1.5522 1940.2 970.1
    64 1.5760 1970.1 985.0
    65 1.5997 1999.6 999.8
    66 1.6232 2029.0 1014.5
    67 1.6465 2058.1 1029.0
    68 1.6695 2086.9 1043.5
    69 1.6924 2115.4 1057.7
    70 1.7149 2143.7 1071.8
    71 1.7373 2171.6 1085.8
    72 1.7593 2199.1 1099.6
    73 1.7811 2226.3 1113.2
    74 1.8025 2253.2 1126.6
    75 1.8237 2279.6 1139.8
    76 1.8445 2305.6 1152.8
    77 1.8650 2331.2 1165.6
    78 1.8851 2356.4 1178.2
    79 1.9049 2381.1 1190.6
    80 1.9243 2405.3 1202.7
    81 1.9433 2429.1 1214.5
    82 1.9619 2452.3 1226.2
    83 1.9800 2475.0 1237.5
    84 1.9978 2497.2 1248.6
    85 2.0151 2518.8 1259.4
    86 2.0319 2539.9 1269.9
    87 2.0483 2560.3 1280.2
    88 2.0642 2580.2 1290.1
    89 2.0796 2599.5 1299.7
    90 2.0942 2617.8 1308.9
    91 2.1089 2636.1 1318.1
    92 2.1228 2653.5 1326.8
    93 2.1362 2670.2 1335.1
    94 2.1490 2686.3 1343.1
    95 2.1613 2701.6 1350.8
    96 2.1730 2716.3 1358.1
    97 2.1842 2730.2 1365.1
    98 2.1948 2743.5 1371.7
    99 2.2048 2756.0 1378.0
    100 2.2142 2767.7 1383.9

THETA Z1

  • Focal Length = 2.57mm

  • Pixel Pitch = 2.4um/px

  • Entrance Pupil Position = 12.8mm @90deg

  • Distortion Table

    Half AoV
    [deg]    		 Image Height
    [mm]    		 Pixels
    [px]
    0 0.0000 0.0
    1 0.0451 18.8
    2 0.0902 37.6
    3 0.1354 56.4
    4 0.1806 75.3
    5 0.2259 94.1
    6 0.2714 113.1
    7 0.3169 132.1
    8 0.3626 151.1
    9 0.4085 170.2
    10 0.4546 189.4
    11 0.5009 208.7
    12 0.5474 228.1
    13 0.5941 247.5
    14 0.6411 267.1
    15 0.6884 286.8
    16 0.7359 306.6
    17 0.7837 326.5
    18 0.8317 346.6
    19 0.8801 366.7
    20 0.9287 387.0
    21 0.9776 407.3
    22 1.0268 427.8
    23 1.0762 448.4
    24 1.1259 469.1
    25 1.1758 489.9
    26 1.2259 510.8
    27 1.2762 531.7
    28 1.3266 552.8
    29 1.3772 573.8
    30 1.4279 595.0
    31 1.4787 616.1
    32 1.5295 637.3
    33 1.5804 658.5
    34 1.6313 679.7
    35 1.6822 700.9
    36 1.7330 722.1
    37 1.7838 743.2
    38 1.8344 764.3
    39 1.8850 785.4
    40 1.9354 806.4
    41 1.9857 827.4
    42 2.0358 848.2
    43 2.0857 869.0
    44 2.1354 889.7
    45 2.1848 910.4
    46 2.2341 930.9
    47 2.2831 951.3
    48 2.3319 971.6
    49 2.3804 991.9
    50 2.4287 1012.0
    51 2.4767 1032.0
    52 2.5244 1051.9
    53 2.5719 1071.6
    54 2.6191 1091.3
    55 2.6660 1110.8
    56 2.7126 1130.3
    57 2.7590 1149.6
    58 2.8051 1168.8
    59 2.8509 1187.9
    60 2.8964 1206.8
    61 2.9417 1225.7
    62 2.9867 1244.5
    63 3.0315 1263.1
    64 3.0760 1281.6
    65 3.1202 1300.1
    66 3.1641 1318.4
    67 3.2078 1336.6
    68 3.2512 1354.7
    69 3.2944 1372.7
    70 3.3372 1390.5
    71 3.3798 1408.2
    72 3.4220 1425.8
    73 3.4639 1443.3
    74 3.5055 1460.6
    75 3.5467 1477.8
    76 3.5875 1494.8
    77 3.6279 1511.6
    78 3.6679 1528.3
    79 3.7074 1544.7
    80 3.7463 1561.0
    81 3.7848 1577.0
    82 3.8226 1592.8
    83 3.8599 1608.3
    84 3.8965 1623.6
    85 3.9325 1638.5
    86 3.9678 1653.3
    87 4.0024 1667.7
    88 4.0362 1681.7
    89 4.0692 1695.5
    90 4.1011 1708.8
    91 4.1329 1722.0
    92 4.1635 1734.8
    93 4.1932 1747.2
    94 4.2221 1759.2
    95 4.2501 1770.9
    96 4.2772 1782.2
    97 4.3034 1793.1
    98 4.3288 1803.7
    99 4.3533 1813.9
    100 4.3768 1823.7

THETA V

  • THETA S/SC/SC2 also use same lens unit.

  • Focal Length = 1.30mm

  • Pixel Pitch = 1.55um/px

  • Entrance Pupil Position = 9.8mm @90deg

  • Distortion Table

    Half AoV
    [deg]    		 Image Height
    [mm]    		 Pixels
    [px]
    0 0.0000 0.0
    1 0.0230 14.8
    2 0.0459 29.6
    3 0.0689 44.5
    4 0.0919 59.3
    5 0.1148 74.1
    6 0.1378 88.9
    7 0.1608 103.7
    8 0.1837 118.5
    9 0.2067 133.3
    10 0.2296 148.1
    11 0.2526 162.9
    12 0.2755 177.7
    13 0.2984 192.5
    14 0.3213 207.3
    15 0.3442 222.1
    16 0.3671 236.9
    17 0.3900 251.6
    18 0.4129 266.4
    19 0.4357 281.1
    20 0.4586 295.9
    21 0.4814 310.6
    22 0.5042 325.3
    23 0.5270 340.0
    24 0.5498 354.7
    25 0.5725 369.4
    26 0.5953 384.0
    27 0.6180 398.7
    28 0.6407 413.3
    29 0.6633 428.0
    30 0.6860 442.6
    31 0.7086 457.2
    32 0.7312 471.8
    33 0.7538 486.3
    34 0.7764 500.9
    35 0.7990 515.5
    36 0.8215 530.0
    37 0.8440 544.5
    38 0.8665 559.0
    39 0.8890 573.6
    40 0.9115 588.1
    41 0.9340 602.6
    42 0.9564 617.0
    43 0.9789 631.5
    44 1.0013 646.0
    45 1.0237 660.5
    46 1.0461 674.9
    47 1.0685 689.4
    48 1.0909 703.8
    49 1.1133 718.3
    50 1.1357 732.7
    51 1.1580 747.1
    52 1.1804 761.5
    53 1.2027 775.9
    54 1.2250 790.3
    55 1.2473 804.7
    56 1.2695 819.0
    57 1.2917 833.4
    58 1.3139 847.7
    59 1.3361 862.0
    60 1.3582 876.3
    61 1.3803 890.5
    62 1.4023 904.7
    63 1.4242 918.9
    64 1.4461 933.0
    65 1.4680 947.1
    66 1.4897 961.1
    67 1.5114 975.1
    68 1.5329 989.0
    69 1.5544 1002.8
    70 1.5758 1016.6
    71 1.5970 1030.3
    72 1.6181 1043.9
    73 1.6390 1057.4
    74 1.6598 1070.9
    75 1.6804 1084.2
    76 1.7009 1097.3
    77 1.7211 1110.4
    78 1.7411 1123.3
    79 1.7609 1136.0
    80 1.7804 1148.6
    81 1.7996 1161.1
    82 1.8186 1173.3
    83 1.8372 1185.3
    84 1.8556 1197.1
    85 1.8736 1208.7
    86 1.8912 1220.1
    87 1.9084 1231.2
    88 1.9253 1242.1
    89 1.9417 1252.7
    90 1.9575 1262.9
    91 1.9733 1273.1
    92 1.9884 1282.8
    93 2.0030 1292.3
    94 2.0172 1301.4
    95 2.0308 1310.2
    96 2.0440 1318.7
    97 2.0566 1326.9
    98 2.0688 1334.7
    99 2.0804 1342.2
    100 2.0915 1349.3

Remark

Entrance Pupil Position is defined as the distance between the midpoint of the two lens units and the entrance pupil position of each lens, like following picture.

image

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