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For quality check of optical measurement we calculate
S1 - 1st short side length of 2x1
S2 - 2nd short side length of 2x1
L1 - 1st long side length of 2x1
L2 - 2nd long side length of 2x1
D1 - 1st diagonal of 2x1 between corners 1 and 3
D2 - 2nd diagonal of 2x1 between corners 2 and 4
dS and dL are the deviations of the 1st and 2nd corner along the short and long sides, respectively. The sign of all dS are chosen in order to provide correct sign for the tilt angle (the same direction for all 2x1 sensors).
<dS/L> - the tilt angle of 2x1 averaged over two sides in radians.
angle(deg) - the same angle in degrees.
dD = D1 - D2
d(dS) = dS1 - dS2
d(dL) = dL1 - dL2
dz3(um) - signed distance from 2x1 sensor plane and corner 3; where the 2x1 sensor plane is defined by the vectors v21=p2-p1 and v41=p4-p1.
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vort = [v21 x v41] - vector product defines the vector orthogonal to the plane,
dz3 = (v31 * vort) / |vort| - scalar product and normalization.
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Quality check parameters for perfect geometry:
S1=S2, L1=L2 - the 2x1 sides should have equal length and width,
D1=D2 - the 2x1 diagonals should be equal,
dS1 = dS2 ? (388/185)*dL1 = (388/185)*dL2 - tilt angle should provide consistent deviation for all corners,
dD=0, d(dS)=0, and d(dL)=0 - within precision of measurement.
dz3(um) = 0
Everything, excluding <dS/L> and angle(deg), are in micrometers.
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pair: S1 S2 dS1 dS2 L1 L2 dL1 dL2 <dS/L> angle(deg) D1 D2 dD d(dS) d(dL) dz3(um) Quad 0 pair: 0 20891 20913 200 222 43539 43541 -102 -100 0.00485 0.27766 48298 48297 1 -22 -2 2.981 pair: 1 20910 20894 293 277 43540 43535 -127 -132 0.00655 0.37506 48302 48289 13 16 5 -23.986 pair: 2 20890 20906 99 83 43536 43536 42 42 0.00209 0.11976 48290 48293 -3 16 0 -3.034 pair: 3 20897 20895 131 133 43545 43543 65 63 0.00303 0.17369 48299 48297 2 -2 2 6.003 pair: 4 20911 20896 -30 -45 43549 43547 17 15 -0.00086 -0.04934 48303 48306 -3 15 2 -5.994 pair: 5 20901 20898 10 7 43540 43544 -8 -4 0.00020 0.01119 48296 48299 -3 3 -4 9.993 pair: 6 20904 20903 104 105 43536 43540 55 59 0.00240 0.13752 48302 48290 12 -1 -4 52.002 pair: 7 20901 20901 -7 -7 43545 43543 -3 -5 -0.00016 -0.00921 48299 48301 -2 0 2 14.001 Quad 1 pair: 0 20913 20914 -343 -342 43540 43550 165 175 -0.00787 -0.45066 48313 48303 10 -1 -10 -24.002 pair: 1 20898 20901 -145 -142 43548 43551 62 65 -0.00330 -0.18880 48300 48309 -9 -3 -3 -23.005 pair: 2 20895 20903 -151 -159 43535 43532 -74 -77 -0.00356 -0.20400 48289 48291 -2 8 3 -17.995 pair: 3 20872 20909 -35 235 -72272 4354143341 4355443354 -37 -24 -0.0012300585 -0.0703933507 48201 4829448036 48303 165 -9 37 37 -13 -13.010 pair: 4 20940 20904 -455 -491 43527 43554 214 241 -0.01086 -0.62242 48309 48309 0 36 -27 1.101 pair: 5 20910 20903 -302 -309 43546 43546 145 145 -0.00702 -0.40196 48304 48307 -3 7 0 6.016 pair: 6 20901 20919 -421 -439 43529 43539 -213 -203 -0.00988 -0.56593 48296 48298 -2 18 -10 -8.026 pair: 7 20907 20907 -452 -452 43548 43539 -201 -210 -0.01038 -0.59475 48315 48294 21 0 9 -8.982 Quad 2 pair: 0 20914 20914 -25 -25 43536 43540 10 14 -0.00057 -0.03290 48300 48300 0 0 -4 -11.013 pair: 1 20901 20897 7 3 43546 43536 -1 -11 0.00011 0.00658 48293 48300 -7 4 10 4.036 pair: 2 20899 20903 -256 -260 43533 43539 -127 -121 -0.00593 -0.33954 48293 48294 -1 4 -6 -1.023 pair: 3 20912 20904 -210 -202 43540 43547 -106 -99 -0.00473 -0.27106 48300 48306 -6 -8 -7 24.004 pair: 4 20910 20903 -543 -550 43535 43536 261 262 -0.01255 -0.71923 48298 48299 -1 7 -1 -10.004 pair: 5 20904 20905 -241 -240 43538 43544 111 117 -0.00552 -0.31647 48298 48301 -3 -1 -6 -6.024 pair: 6 20903 20902 21 22 43539 43543 8 12 0.00049 0.02829 48298 48298 0 -1 -4 8.999 pair: 7 20902 20903 82 81 43546 43547 35 36 0.00187 0.10723 48300 48306 -6 1 -1 9.995 Quad 3 pair: 0 20902 20898 -82 -86 43536 43543 30 37 -0.00193 -0.11054 48289 48302 -13 4 -7 1.994 pair: 1 20900 20904 79 83 43548 43541 -35 -42 0.00186 0.10658 48301 48301 0 -4 7 -17.993 pair: 2 20912 20894 181 199 43536 43535 97 96 0.00436 0.25005 48298 48289 9 -18 1 10.011 pair: 3 20912 20905 119 126 43539 43538 57 56 0.00281 0.16121 48296 48301 -5 -7 1 -16.000 pair: 4 20894 20912 -454 -436 43534 43545 212 223 -0.01022 -0.58560 48303 48296 7 -18 -11 2.023 pair: 5 20906 20919 -336 -323 43527 43535 155 163 -0.00757 -0.43369 48295 48294 1 -13 -8 5.993 pair: 6 20902 20905 -203 -206 43537 43525 -89 -101 -0.00470 -0.26916 48293 48287 6 3 12 2.981 pair: 7 20900 20897 -140 -137 43539 43544 -68 -63 -0.00318 -0.18225 48298 48296 2 -3 -5 29.997 |
This quality check works well to catch significant typos in input table. In case of obvious typos input table can be corrected. When the quality check is passed successfully the alignment parameters are saved and deployed under the calib
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