Working Distance And Field Of View - Banner Engineering
VE Series 1.3 MP Lens Charts This paper offers information useful for selecting a C-mount lens for the VE Series 1.3 MP smart camera. Working Distance and Field of View The two main variables involved when discussing a camera’s lens choice are the Working Distance and the Field of View size. The Working Distance, or WD, is the distance from the camera to the target object. In the case of this collection of lens charts, the Working Distance is measured from the front surface of the threaded lens cover mount. The distance is not measured from the end of the lens because different lenses from different manufacturers, even with the same focal length, can vary in length. The Field of View, or FOV, is the real world size of the picture the camera takes. This can also be broken down into a horizontal FOV size and a vertical FOV size. Note that the picture taken by a VE Series vision sensor is not square. The imager used in the 1.3 MP VE sensor is 1280 1024 pixels, making a rectangular image where the vertical FOV is 80% the size of the horizontal FOV. The Working Distance and Field of View sizes are related by linear equations determined by the focal length of the lens. Choosing the correct lens for a given application might be a matter of selecting the desired size of the FOV, then seeing which of the options for focal length result in a good fit for camera Working Distance. The situation might also be reversed, where the desired mounting location of the camera is known (and thus the Working Distance is fixed) and the various focal length lenses give a range of FOV sizes to choose from. In all cases, only one of these two variables may be freely selected. The second variable then becomes a function of the first. This is the reason why we offer a broad range of lens focal lengths—to provide as many options as possible to suit different WD/FOV size requirements. Multiple Manufacturers and Format Size Banner does not manufacture any C-mount lenses used by our vision sensors. Instead we offer a range of lenses from different suppliers. Any C-mount lens will technically work in a VE Series vision sensor, but some lenses are better suited than others. Banner recommends using at least 2/3-inch format, or “megapixel”-rated, lenses. A lens of at least this format size ensures that the entire VE Series imager chip is used when taking pictures. These lenses are also better at resolving small features in the picture, allowing an inspection to make better use of the camera’s resolution. The lens charts which follow are divided into groups based on lens manufacturer. Imager Resolution: 1280 px (H) 1024 px (V) Pixel Size: 5.3 µm 5.3 µm Image Size: 6.9 mm (H) 5.5 mm (V), 8.7 mm (diagonal) Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 1
VE Series Off the Charts In the pages that follow, graphical views of the Working Distance versus Horizontal FOV relationships are shown, out to a maximum working distance of 1 meter. These graphs offer a quick and easy way to estimate the FOV size for a given Working Distance and lens focal length. Also provided are two tables with entries out to 1.5 meters. The first shows FOV size as a function of Working Distance and the second shows Working Distance as a function of FOV size. The mathematical equations that describe the relationship between these two variables are also provided, allowing for calculations beyond what the chart and tables offer. Each lens has a natural minimum Working Distance. If a camera using this lens were to move closer to the target than this minimum distance, the image would be out of focus and the lens alone would not be able to fix it. This is where extension tubes and shims are used. Extension tubes allow a lens to come into focus at a Working Distance closer than the minimum. The relationship between Working Distance and FOV size remains in effect as extension tubes are added, and so extension tubes are usually used to generate very small FOVs. A microscope is basically a high focal length lens with a large amount of extension tubes applied. Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 2
VE Series Computar C‐mount Lenses on 1.3 MP VE Series 1400 1200 Horizontal FOV size (mm) 1000 5mm 800 8mm 12mm 16mm 25mm 600 35mm 50mm 75mm 400 200 0 0 100 200 300 400 500 600 700 800 Working Distance (mm) Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 3 900 1000
VE Series Computar C‐mount Lenses on 1.3 MP VE Series, FOV as a function of WD Chart WD (mm) Minimum 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 5mm 123 x 98 @ 117mm 130 157 184 211 238 265 292 319 345 372 399 426 453 480 507 534 561 588 614 641 668 695 722 749 776 803 830 856 883 910 937 964 991 1018 1045 1072 1099 1125 1152 1179 1206 1233 1260 1287 1314 1341 1368 1394 1421 1448 1475 1502 1529 1556 1583 1610 1637 1663 1690 1717 1744 1771 1798 1825 1852 1879 1906 1932 1959 1986 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 104 126 147 169 190 212 233 255 276 298 319 341 362 384 405 427 448 470 492 513 535 556 578 599 621 642 664 685 707 728 750 771 793 814 836 857 879 900 922 943 965 986 1008 1029 1051 1073 1094 1116 1137 1159 1180 1202 1223 1245 1266 1288 1309 1331 1352 1374 1395 1417 1438 1460 1481 1503 1524 1546 1567 1589 8mm 52 x 42 @ 77mm 53 70 86 103 120 136 153 169 186 203 219 236 252 269 286 302 319 336 352 369 385 402 419 435 452 468 485 502 518 535 552 568 585 601 618 635 651 668 684 701 718 734 751 767 784 801 817 834 851 867 884 900 917 934 950 967 983 1000 1017 1033 1050 1066 1083 1100 1116 1133 1150 1166 1183 1199 1216 1233 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x Banner Engineering Corp. 2021-04-23 43 56 69 82 96 109 122 136 149 162 175 189 202 215 229 242 255 268 282 295 308 322 335 348 361 375 388 401 415 428 441 454 468 481 494 508 521 534 548 561 574 587 601 614 627 641 654 667 680 694 707 720 734 747 760 773 787 800 813 827 840 853 866 880 893 906 920 933 946 959 973 986 12mm 71 x 57 @ 136mm 73 85 96 108 119 130 142 153 164 176 187 199 210 221 233 244 256 267 278 290 301 313 324 335 347 358 370 381 392 404 415 427 438 449 461 472 484 495 506 518 529 540 552 563 575 586 597 609 620 632 643 654 666 677 689 700 711 723 734 746 757 768 780 791 803 814 825 837 848 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 59 68 77 86 95 104 113 122 132 141 150 159 168 177 186 195 205 214 223 232 241 250 259 268 277 287 296 305 314 323 332 341 350 359 369 378 387 396 405 414 423 432 442 451 460 469 478 487 496 505 514 524 533 542 551 560 569 578 587 596 606 615 624 633 642 651 660 669 679 FOV (mm) 16mm 93 x 74 @ 230mm 98 106 115 123 132 140 149 157 165 174 182 191 199 208 216 225 233 242 250 259 267 276 284 293 301 310 318 327 335 344 352 361 369 378 386 395 403 411 420 428 437 445 454 462 471 479 488 496 505 513 522 530 539 547 556 564 573 581 590 598 607 615 624 632 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 78 85 92 98 105 112 119 126 132 139 146 153 160 166 173 180 187 193 200 207 214 221 227 234 241 248 255 261 268 275 282 288 295 302 309 316 322 329 336 343 350 356 363 370 377 383 390 397 404 411 417 424 431 438 445 451 458 465 472 478 485 492 499 506 25mm 36 x 29 @ 159mm 36 42 47 53 58 63 69 74 80 85 91 96 101 107 112 118 123 129 134 139 145 150 156 161 167 172 177 183 188 194 199 205 210 215 221 226 232 237 243 248 253 259 264 270 275 281 286 291 297 302 308 313 319 324 329 335 340 346 351 357 362 367 373 378 384 389 395 400 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 29 33 38 42 46 51 55 59 64 68 72 77 81 86 90 94 99 103 107 112 116 120 125 129 133 138 142 146 151 155 159 164 168 172 177 181 185 190 194 198 203 207 211 216 220 224 229 233 238 242 246 251 255 259 264 268 272 277 281 285 290 294 298 303 307 311 316 320 VE Series B 4434663 Rev. D 35mm 47 x 38 @ 261mm 51 55 59 63 67 71 75 79 83 87 91 95 99 103 107 111 115 119 123 127 131 135 139 143 147 151 155 159 163 167 171 175 179 183 187 191 195 199 203 207 210 214 218 222 226 230 234 238 242 246 250 254 258 262 266 270 274 278 282 286 290 294 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 41 44 47 50 54 57 60 63 66 70 73 76 79 82 85 89 92 95 98 101 105 108 111 114 117 121 124 127 130 133 137 140 143 146 149 152 156 159 162 165 168 172 175 178 181 184 188 191 194 197 200 203 207 210 213 216 219 223 226 229 232 235 50mm 75mm 68 x 54 @ 538mm 31 x 25 @ 354mm 67 70 73 76 78 81 84 87 90 92 95 98 101 104 106 109 112 115 118 120 123 126 129 132 134 137 140 143 146 148 151 154 157 160 162 165 168 171 174 177 179 182 185 188 191 193 196 199 202 32 33 35 37 39 41 43 45 47 48 50 52 54 56 58 60 62 63 65 67 69 71 73 75 77 78 80 82 84 86 88 90 92 93 95 97 99 101 103 105 107 108 110 112 114 116 118 120 122 123 125 127 129 131 133 135 137 138 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 54 56 58 60 63 65 67 69 72 74 76 78 81 83 85 87 90 92 94 96 99 101 103 105 108 110 112 114 117 119 121 123 126 128 130 132 134 137 139 141 143 146 148 150 152 155 157 159 161 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 25 27 28 30 31 33 34 36 37 39 40 42 43 45 46 48 49 51 52 54 55 57 58 60 61 63 64 66 67 69 70 72 73 75 76 78 79 81 82 84 85 87 88 90 91 93 94 96 97 99 100 102 103 105 106 108 109 111 Page 4
VE Series Computar C‐mount Lenses on 1.3 MP VE Series, WD as a function of FOV Chart 5mm FOV (mm) Minimum 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 16 32 48 64 80 96 112 128 144 160 176 192 208 224 240 256 272 288 304 320 336 352 368 384 400 416 432 448 464 480 496 512 528 544 560 576 592 608 624 640 656 672 688 704 720 736 752 768 784 800 816 832 848 864 880 896 912 928 944 960 976 992 1008 1024 1040 1056 1072 1088 1104 1120 1136 1152 1168 1184 1200 123 x 98 @ 117mm 127 142 157 172 187 202 216 231 246 261 276 291 306 321 335 350 365 380 395 410 425 440 454 469 484 499 514 529 544 559 573 588 603 618 633 648 663 677 692 707 722 737 752 767 782 796 811 826 841 856 871 886 901 915 930 945 960 975 990 1005 1020 1034 1049 1064 1079 1094 1109 1124 1138 Banner Engineering Corp. 2021-04-23 8mm 52 x 42 @ 77mm 88 112 136 160 185 209 233 257 281 305 329 353 377 401 425 449 474 498 522 546 570 594 618 642 666 690 714 738 762 787 811 835 859 883 907 931 955 979 1003 1027 1051 1075 1100 1124 1148 1172 1196 1220 1244 1268 1292 1316 1340 1364 1389 1413 1437 1461 1485 1509 1533 1557 1581 1605 1629 1653 1677 1702 1726 1750 1774 1798 1822 12mm WD (mm) 71 x 57 @ 136mm 152 187 222 257 292 327 362 397 433 468 503 538 573 608 643 678 713 748 784 819 854 889 924 959 994 1029 1064 1100 1135 1170 1205 1240 1275 1310 1345 1380 1416 1451 1486 1521 1556 1591 1626 1661 1696 1731 1767 1802 1837 1872 1907 1942 1977 2012 2047 2083 2118 2153 2188 2223 2258 2293 2328 2363 2398 2434 2469 2504 2539 2574 2609 2644 16mm 25mm 35mm 93 x 74 @ 230mm 36 x 29 @ 159mm 47 x 38 @ 261mm 246 293 340 387 434 481 529 576 623 670 717 764 811 859 906 953 1000 1047 1094 1142 1189 1236 1283 1330 1377 1425 1472 1519 1566 1613 1660 1708 1755 1802 1849 1896 1943 1990 2038 2085 2132 2179 2226 2273 2321 2368 2415 2462 2509 2556 2604 2651 2698 2745 2792 2839 2886 2934 2981 3028 3075 3122 3169 3217 3264 3311 3358 3405 3452 3500 3547 173 247 321 395 468 542 616 689 763 837 910 984 1058 1131 1205 1279 1353 1426 1500 1574 1647 1721 1795 1868 1942 2016 2089 2163 2237 2311 2384 2458 2532 2605 2679 2753 2826 2900 2974 3047 3121 3195 3269 3342 3416 3490 3563 3637 3711 3784 3858 3932 4005 4079 4153 4227 4300 4374 4448 4521 4595 4669 4742 4816 4890 4963 5037 5111 5185 5258 5332 5406 5479 5553 325 425 526 626 726 827 927 1027 1128 1228 1328 1429 1529 1629 1730 1830 1931 2031 2131 2232 2332 2432 2533 2633 2733 2834 2934 3034 3135 3235 3335 3436 3536 3637 3737 3837 3938 4038 4138 4239 4339 4439 4540 4640 4740 4841 4941 5041 5142 5242 5342 5443 5543 5644 5744 5844 5945 6045 6145 6246 6346 6446 6547 6647 6747 6848 6948 7048 7149 7249 7350 7450 7550 VE Series B 4434663 Rev. D 50mm 75mm 68 x 54 @ 538mm 31 x 25 @ 357mm 632 775 917 1060 1202 1345 1487 1630 1772 1915 2058 2200 2343 2485 2628 2770 2913 3055 3198 3341 3483 3626 3768 3911 4053 4196 4338 4481 4623 4766 4909 5051 5194 5336 5479 5621 5764 5906 6049 6192 6334 6477 6619 6762 6904 7047 7189 7332 7475 7617 7760 7902 8045 8187 8330 8472 8615 8757 8900 9043 9185 9328 9470 9613 9755 9898 10040 10183 10326 10468 10611 10753 450 663 877 1090 1303 1517 1730 1944 2157 2371 2584 2798 3011 3224 3438 3651 3865 4078 4292 4505 4719 4932 5145 5359 5572 5786 5999 6213 6426 6640 6853 7066 7280 7493 7707 7920 8134 8347 8561 8774 8988 9201 9414 9628 9841 10055 10268 10482 10695 10909 11122 11335 11549 11762 11976 12189 12403 12616 12830 13043 13256 13470 13683 13897 14110 14324 14537 14751 14964 15177 15391 15604 15818 16031 Page 5
VE Series Computar Lens equations for VE Series 1.3 MP H horizontal FOV size, W working distance 5 mm Megapixel lens Banner model: LCF05LCMP (p/n 11381) Computar model: H0514-MP 1/2-inch format, 43 mm filter, minimum f/1.4, fits with either the VELC60 or VELC85 lens cover H(W), mm H 1.34 W – 31.15 (minimum W 117 mm) W(H), mm W (H 31.15)/1.34 (minimum H 123 mm) 8 mm Megapixel lens Banner model: LCF08LMP (p/n 74300) Computar model: M0814-MP2 2/3-inch format, 30.5 mm filter, minimum f/1.4, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.83 W – 13.31 (minimum W 77 mm) W(H), mm W (H 13.31)/0.83 (minimum H 52 mm) 12 mm Megapixel lens Banner model: LCF12LMP (p/n 74299) Computar model: M1214-MP2 2/3-inch format, 30.5 mm filter, minimum f/1.4, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.57 W – 6.42 (minimum W 136 mm) W(H), mm W (H 6.42)/0.57 (minimum H 71 mm) 16 mm Megapixel lens Banner model: LCF16LCMP (p/n 11382) Computar model: M1614-MP2 2/3-inch format, 30.5 mm filter, minimum f/1.4, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.424 W – 4.15 (minimum W 230 mm) W(H), mm W (H 4.15)/0.424 (minimum H 93 mm) Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 6
VE Series 25 mm Megapixel lens Banner model: LCF25LCMP (p/n 11383) Computar model: M2514-MP2 2/3-inch format, 30.5 mm filter, minimum f/1.4, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.27 W – 7.08 (minimum W 159mm) W(H), mm W (H 7.08)/0.27 (minimum H 36mm) 35 mm Megapixel lens Banner model: LCF35LCMP (p/n 11384) Computar model: M3514-MP 2/3-inch format, 30.5 mm filter, minimum f/1.4, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.199 W – 4.76 (minimum W 261 mm) W(H), mm W (H 4.76)/0.199 (minimum H 47 mm) 50 mm Megapixel lens Banner model: LCF50LCMP (p/n 11385) Computar model: M5018-MP2 2/3-inch format, 30.5 mm filter, minimum f/1.8, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.14 W – 8.67 (minimum W 538 mm) W(H), mm W (H 8.67)/0.14 (minimum H 68 mm) 75 mm Megapixel lens Banner model: LCF75LCMP (p/n 11386) Computar model: M7528-MP 2/3-inch format, 30.5 mm filter, minimum f/2.8, does not fit with a sealed lens cover H(W), mm H 0.09 W – 2.13 (minimum W 357 mm) W(H), mm W (H 2.13)/0.09 (minimum H 31 mm) NOTE: The factory setting for the Focal Range is 0.3 m–1.2 m. The focus can be adjusted to infinity by removing the Focus Limit Screw. Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 7
VE Series Evetar C‐mount Lenses on 1.3 MP VE Series 1200 1000 Horizontal FOV (mm) 800 6mm 8mm 12mm 600 16mm 25mm 35mm 400 50mm 75mm 200 0 0 100 200 300 400 500 600 700 800 Working Distance (mm) Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 8 900 1000
VE Series Evetar C‐mount Lenses on 1.3 MP VE Series, FOV as a function of WD Chart WD (mm) Minimum 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 6mm 53 x 42 @ 80mm 52 74 97 119 141 163 186 208 230 252 275 297 319 341 363 386 408 430 452 475 497 519 541 564 586 608 630 653 675 697 719 741 764 786 808 830 853 875 897 919 942 964 986 1008 1031 1053 1075 1097 1119 1142 1164 1186 1208 1231 1253 1275 1297 1320 1342 1364 1386 1409 1431 1453 1475 1497 1520 1542 1564 1586 1609 1631 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 42 60 77 95 113 131 148 166 184 202 220 237 255 273 291 309 326 344 362 380 397 415 433 451 469 486 504 522 540 558 575 593 611 629 647 664 682 700 718 735 753 771 789 807 824 842 860 878 896 913 931 949 967 985 1002 1020 1038 1056 1073 1091 1109 1127 1145 1162 1180 1198 1216 1234 1251 1269 1287 1305 8mm 45 x 36 @ 83mm 58 74 91 107 123 140 156 172 189 205 221 238 254 270 286 303 319 335 352 368 384 401 417 433 450 466 482 499 515 531 547 564 580 596 613 629 645 662 678 694 711 727 743 760 776 792 809 825 841 857 874 890 906 923 939 955 972 988 1004 1021 1037 1053 1070 1086 1102 1118 1135 1151 1167 1184 1200 Banner Engineering Corp. 2021-04-23 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 46 60 73 86 99 112 125 138 151 164 177 190 203 216 229 242 255 268 281 294 307 321 334 347 360 373 386 399 412 425 438 451 464 477 490 503 516 529 542 555 569 582 595 608 621 634 647 660 673 686 699 712 725 738 751 764 777 790 803 816 830 843 856 869 882 895 908 921 934 947 960 12mm 47 x 38 @ 115mm 49 60 72 83 94 105 117 128 139 150 162 173 184 195 207 218 229 240 252 263 274 285 297 308 319 330 342 353 364 375 387 398 409 420 432 443 454 465 477 488 499 510 522 533 544 555 567 578 589 600 612 623 634 645 657 668 679 690 702 713 724 735 747 758 769 780 792 803 814 825 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 39 48 57 66 75 84 93 102 111 120 129 138 147 156 165 174 183 192 201 210 219 228 237 246 255 264 273 282 291 300 309 318 327 336 345 354 363 372 381 390 399 408 417 426 435 444 453 462 471 480 489 498 507 516 525 534 543 552 561 570 579 588 597 606 615 624 633 642 651 660 16mm FOV (mm) 51 x 41 @ 162mm 57 65 74 82 90 98 107 115 123 131 140 148 156 165 173 181 189 198 206 214 222 231 239 247 255 264 272 280 288 297 305 313 321 330 338 346 354 363 371 379 387 396 404 412 421 429 437 445 454 462 470 478 487 495 503 511 520 528 536 544 553 561 569 577 586 594 602 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 46 52 59 66 72 79 85 92 99 105 112 118 125 132 138 145 151 158 165 171 178 184 191 198 204 211 217 224 231 237 244 251 257 264 270 277 284 290 297 303 310 317 323 330 336 343 350 356 363 369 376 383 389 396 402 409 416 422 429 436 442 449 455 462 469 475 482 25mm 75 x 60 @ 319mm 75 80 86 91 96 101 107 112 117 122 128 133 138 143 149 154 159 165 170 175 180 186 191 196 201 207 212 217 222 228 233 238 243 249 254 259 264 270 275 280 286 291 296 301 307 312 317 322 328 333 338 343 349 354 359 364 370 375 380 386 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 60 64 68 73 77 81 85 90 94 98 102 106 111 115 119 123 127 132 136 140 144 148 153 157 161 165 169 174 178 182 186 191 195 199 203 207 212 216 220 224 228 233 237 241 245 249 254 258 262 266 271 275 279 283 287 292 296 300 304 308 VE Series B 4434663 Rev. D 35mm 50mm 60 x 48 @ 340mm 35 x 28 @ 337mm 59 63 67 71 75 79 83 87 91 95 99 103 107 111 115 119 123 127 131 135 139 143 147 150 154 158 162 166 170 174 178 182 186 190 194 198 202 206 210 214 218 222 226 230 234 238 242 246 250 254 258 262 266 270 274 277 281 285 289 36 38 41 44 46 49 52 54 57 60 62 65 68 71 73 76 79 81 84 87 89 92 95 97 100 103 105 108 111 113 116 119 121 124 127 129 132 135 137 140 143 145 148 151 154 156 159 162 164 167 170 172 175 178 180 183 186 188 191 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 47 51 54 57 60 63 66 70 73 76 79 82 85 89 92 95 98 101 105 108 111 114 117 120 124 127 130 133 136 139 143 146 149 152 155 158 162 165 168 171 174 178 181 184 187 190 193 197 200 203 206 209 212 216 219 222 225 228 231 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 29 31 33 35 37 39 41 44 46 48 50 52 54 56 59 61 63 65 67 69 71 74 76 78 80 82 84 86 89 91 93 95 97 99 101 104 106 108 110 112 114 116 119 121 123 125 127 129 131 134 136 138 140 142 144 146 149 151 153 75mm 44 x 35 @ 610mm 46 48 50 52 53 55 57 59 60 62 64 66 68 69 71 73 75 77 78 80 82 84 85 87 89 91 93 94 96 98 100 102 103 105 107 109 110 112 114 116 118 119 121 123 125 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 37 38 40 41 43 44 46 47 48 50 51 53 54 56 57 58 60 61 63 64 66 67 68 70 71 73 74 76 77 78 80 81 83 84 86 87 88 90 91 93 94 96 97 98 100 Page 9
VE Series Evetar C‐mount Lenses on 1.3 MP VE Series, WD as a function of FOV Chart 6mm FOV (mm) Minimum 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 16 32 48 64 80 96 112 128 144 160 176 192 208 224 240 256 272 288 304 320 336 352 368 384 400 416 432 448 464 480 496 512 528 544 560 576 592 608 624 640 656 672 688 704 720 736 752 768 784 800 816 832 848 864 880 896 912 928 944 960 976 992 1008 1024 1040 1056 1072 1088 1104 1120 1136 1152 1168 1184 1200 8mm 12mm 16mm WD (mm) 55 x 44 @ 77mm 51 x 41 @ 84mm 49 x 39 @ 110mm 53 x 42 @ 158mm 87 105 123 141 159 177 195 213 231 249 267 285 303 321 339 357 375 393 411 429 447 465 483 501 519 537 555 573 591 609 627 645 663 681 699 717 735 753 771 789 807 825 843 861 879 897 915 933 951 969 987 1004 1022 1040 1058 1076 1094 1112 1130 1148 1166 1184 1202 1220 1238 1256 1274 1292 1310 1328 1346 1364 1382 102 127 151 176 200 225 249 274 299 323 348 372 397 421 446 470 495 519 544 568 593 617 642 666 691 715 740 764 789 813 838 862 887 911 936 961 985 1010 1034 1059 1083 1108 1132 1157 1181 1206 1230 1255 1279 1304 1328 1353 1377 1402 1426 1451 1475 1500 1524 1549 1573 1598 1623 1647 1672 1696 1721 1745 1770 1794 1819 1843 1868 139 175 210 246 282 317 353 388 424 459 495 530 566 602 637 673 708 744 779 815 850 886 921 957 993 1028 1064 1099 1135 1170 1206 1241 1277 1313 1348 1384 1419 1455 1490 1526 1561 1597 1632 1668 1704 1739 1775 1810 1846 1881 1917 1952 1988 2024 2059 2095 2130 2166 2201 2237 2272 2308 2343 2379 2415 2450 2486 2521 2557 2592 2628 2663 2699 187 235 284 332 381 429 478 526 574 623 671 720 768 817 865 913 962 1010 1059 1107 1156 1204 1253 1301 1349 1398 1446 1495 1543 1592 1640 1688 1737 1785 1834 1882 1931 1979 2028 2076 2124 2173 2221 2270 2318 2367 2415 2463 2512 2560 2609 2657 2706 2754 2803 2851 2899 2948 2996 3045 3093 3142 3190 3238 3287 3335 3384 3432 3481 3529 3578 3626 3674 Banner Engineering Corp. 2021-04-23 25mm 78 x 62 @ 310mm 339 415 491 567 643 719 795 871 947 1023 1099 1175 1251 1327 1403 1479 1555 1631 1707 1783 1859 1935 2011 2087 2163 2239 2315 2391 2467 2543 2619 2695 2771 2847 2923 2999 3075 3151 3227 3303 3379 3456 3532 3608 3684 3760 3836 3912 3988 4064 4140 4216 4292 4368 4444 4520 4596 4672 4748 4824 4900 4976 5052 5128 5204 5280 5356 5432 5508 5584 5660 5736 VE Series B 4434663 Rev. D 35mm 50mm 75mm 66 x 53 @ 338mm 37 x 30 @ 336mm 46 x 37 @ 594mm 445 546 646 747 848 949 1050 1150 1251 1352 1453 1554 1654 1755 1856 1957 2058 2158 2259 2360 2461 2562 2662 2763 2864 2965 3066 3166 3267 3368 3469 3570 3671 3771 3872 3973 4074 4175 4275 4376 4477 4578 4679 4779 4880 4981 5082 5183 5283 5384 5485 5586 5687 5787 5888 5989 6090 6191 6291 6392 6493 6594 6695 6796 6896 6997 7098 7199 7300 7400 7501 7602 372 522 671 820 970 1119 1268 1418 1567 1716 1866 2015 2165 2314 2463 2613 2762 2911 3061 3210 3359 3509 3658 3808 3957 4106 4256 4405 4554 4704 4853 5002 5152 5301 5451 5600 5749 5899 6048 6197 6347 6496 6645 6795 6944 7094 7243 7392 7542 7691 7840 7990 8139 8288 8438 8587 8737 8886 9035 9185 9334 9483 9633 9782 9932 10081 10230 10380 10529 10678 10828 10977 11126 11276 775 999 1223 1447 1671 1895 2118 2342 2566 2790 3014 3238 3462 3686 3910 4134 4358 4582 4806 5030 5254 5478 5702 5926 6150 6374 6598 6822 7046 7270 7494 7718 7942 8166 8389 8613 8837 9061 9285 9509 9733 9957 10181 10405 10629 10853 11077 11301 11525 11749 11973 12197 12421 12645 12869 13093 13317 13541 13765 13989 14213 14437 14660 14884 15108 15332 15556 15780 16004 16228 16452 16676 16900 Page 10
VE Series Evetar Lens equations for VE Series 1.3 MP H horizontal FOV size, W working distance 6 mm Megapixel lens Banner model: LCF06LEVMP (p/n 97345) Evetar model: MV118FM06C 1/1.8-inch format, 34 mm filter, minimum f/1.6, fits with either the VELC60 or VELC85 lens cover H(W), mm H 1.11 W – 36.79 (minimum W 80 mm) W(H), mm W (H 36.79)/1.11 (minimum H 53 mm) 8 mm Megapixel lens Banner model: LCF08LEVMP (p/n 97346) Evetar model: MV118FM08C 1/1.8-inch format, 27mm filter, min f/1.4, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.82 W – 23.49 (minimum W 83 mm) W(H), mm W (H 23.49)/0.82 (minimum H 45 mm) 12 mm Megapixel lens Banner model: LCF12LEVMP (p/n 97347) Evetar model: MV23FM12C 2/3-inch format, 27 mm filter, minimum f/1.6, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.56 W – 18.43 (minimum W 115 mm) W(H), mm W (H 18.43)/0.56 (minimum H 47 mm) 16 mm Megapixel lens Banner model: LCF16LEVMP (p/n 97348) Evetar model: MV23FM16CR1 2/3-inch format, 27 mm filter, minimum f/1.6, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.41 W – 17.16 (minimum W 162 mm) W(H), mm W (H 17.16)/0.41 (minimum H 51mm) Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 11
VE Series 25 mm Megapixel lens Banner model: LCF25LEVMP (p/n 97349) Evetar model: MV23FM25C 2/3-inch format, 27 mm filter, minimum f/1.8, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.26 W – 9.15 (minimum W 319 mm) W(H), mm W (H 9.15)/0.26 (minimum H 75 mm) 35 mm Megapixel lens Banner model: LCF35LEVMP (p/n 97350) Evetar model: MV23FM35C 2/3-inch format, 27 mm filter, minimum f/2.0, fits with either the VELC60 or VELC85 lens cover H(W), mm H 0.198 W – 8.23 (minimum W 340 mm) W(H), mm W (H 8.23)/0.198 (minimum H 60 mm) 50 mm Megapixel lens Banner model: LCF50LEVMP (p/n 97351) Evetar model: MV23FM50C 2/3-inch format, 30.5 mm filter, minimum f/2.6, fits with VELC85 lens cover H(W), mm H 0.134 W – 9.83 (minimum W 337 mm) W(H), mm W (H 9.83)/0.134 (minimum H 35 mm) 75 mm Megapixel lens Banner model: LCF75LEVMP (p/n 97352) Evetar model: MV11FM75C 1-inch format, 34 mm filter, minimum f/2.8, does not fit with a sealed lens cover H(W), mm H 0.089 W – 9.18 (minimum W 610 mm) W(H), mm W (H 9.18)/0.089 (minimum H 44 mm) Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 12
VE Series Tamron C‐mount Lenses on 1.3MP VE Series 1000 900 800 Horizontal FOV size (mm) 700 600 8mm 500 16mm 25mm 400 50mm 300 200 100 0 0 100 200 300 400 500 600 700 800 900 Working Distance (mm) Banner Engineering Corp. 2021-04-23 VE Series B 4434663 Rev. D Page 13 1000
VE Series Tamron C‐mount Lenses on 1.3 MP VE Series, FOV as a function of WD Chart WD (mm) Minimum 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 8mm 99 x 79 @ 130mm 107 124 142 159 177 195 212 230 247 265 282 300 318 335 353 370 388 405 423 440 458 476 493 511 528 546 563 581 599 616 634 651 669 686 704 721 739 757 774 792 809 827 844 862 880 897 915 932 950 967 985 1003 1020 1038 1055 1073 1090 1108 1125 1143 1161 1178 1196 1213 1231 1248 1266 1284 1301 x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 85 99 113 128 14
Working Distance and Field of View . The two main variables involved when discussing a camera's lens choice are the . Working Distance. and the . Field of View. size. The Working Distance, or WD, is the distance from the camera to the target object. In the case of this collection of lens charts, the Working Distance is measured from the front .
1-6 Midpoint and Distance in the Coordinate Plane Check It Out! Example 4a Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from R to S. R(3, 2) and S(-3, -1) Method 1 Use the Distance Formula. Substitute the values for the coordinates of R and S into the Distance Formula.
Sight Distance 4.1 INTRODUCTION Sight distance is the length of roadway visible to a driver. The three types of sight distance common in roadway design are intersection sight distance, stopping sight distance, and passing sight distance.
‘distance’ paradox in so-called distance learning environments. The Distance Education Paradox and the Internet A definition for distance education The main defining feature of distance education is the separation of teacher and learner, usually in both time and space (Holmberg, 19
actual distance drawing distance drawing actual EXAMPLE 1 Finding an Actual Distance What is the actual distance d between Cadillac and Detroit? Step 1: Use a centimeter ruler to fi nd the distance on the map between Cadillac and Detroit. The map distance is about 3.5 centimeters. Step 2: Use the scale to write and solve a proportion. 1 cm .
ground motion in the vicinity of an active fault can be significantly different from that of the far-field [8]. There is no well-defined distance over which a site may be classified as in near or far-field. A useful criterion to define the near-field zone is related to the comparison of the source dimension with the source to site distance [10].
clidean and Manhattan distance in potentials elds. Eu-clidean and Manhattan distance performed relatively sim-ilar whereas A* distance performed better than them in terms of score in Ms. Pac-Man (See Appendix A). Keywords: Ms. Pac-Man, algorithm, in uence maps, po-tential elds, distance measure, A*, Euclidean, Manhattan, optimal parameter space. i
4.4 Intersection Sight Distance The minimum sight distance at all public and private street intersections or accesses, and driveways to collector streets or greater shall follow the guidelines below. At no time shall the minimum sight distance be less than the AASHTO stopping sight distance. Table 1 Sight Distance Speed of Thru Roadway (MPH)
BIOGRAFÍA ACADÉMICA DE ALFREDO LÓPEZ AUSTIN Enero de 2020 I. DATOS PERSONALES Nacimiento: Ciudad Juárez, Estado de Chihuahua, México, 12 de marzo de 1936. Nacionalidad: mexicano. Estado civil: casado. Investigador emérito de la Universidad Nacional Autónoma de México, por acuerdo del Consejo Universitario, con fecha 21 de junio de 2000. Sistema Nacional de Investigadores. Nivel III .
