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What is Line Straightness of chrome on glass and ceramic target?

The line straightness of two plates are compared. One plate is made of glass with chrome pattern. Another one is made of ceramic. An industrial camera system, i.e., 20Mega pixel camera with a telecentric lens, are used to capture images of both plates.

General computational Logic is as below:

  • Find circle edge points from dark-to-bright transission;
  • A best-fit circle is found based on edge points;
  • Distances of actual edge points to their ideal edge locations are calculated;
  • For a same circle, circularity value can be deduced absed on these distances;

Comparison Experiment

Line Straightness Analysis of Chrome on Glass and Ceramic

To compare the line straightness in two plates, one is ceramic, the other one is glass.
Left: original image from chrome on glass; 
Right: original image from chrome on ceramic.
Straightness Results - Chrome on Glass Calibration Target
Line 01/μm Line 02/μm Line 03/μm
0.228517342 0.540891238 0.223037466
Straightness results of chrome on glass calibration target3 Straightness results of chrome on glass calibration target2 Straightness results of chrome on glass calibration target1
Straightness Results - Chrome on Ceramic Calibration Target
Line 01/μm Line 02/μm Line 03/μm
5.81125129 5.659593307 6.758464655
Straightness Results - Chrome on Glass Calibration Target1 Straightness Results - Chrome on Glass Calibration Target2 Straightness Results - Chrome on Glass Calibration Target3

Analysis Conclusion

Figure 1: Distance Tolerance of Chrome on Glass Plate/μm
Figure 2: Distance Tolerance of Chrome on Ceramic Plate/μm

Testing Data

Glass Plate Line Straightness
edge points to its best-fit line/μm
Line 1 Tolerance Line 2 Tolerance Line 3 Tolerance
-0.120976249 0.167403093 0.018552731
-0.128377794 0.124131487 0.028149776
-0.115717081 0.095273615 0.046016386
-0.104776653 0.085431231 0.062777329
-0.095299583 0.094828241 0.065373976
-0.077340037 0.09880166 0.071867292
-0.055237549 0.112958693 0.076280407
-0.031690782 0.128024389 0.081304257
-0.013635535 0.155059565 0.046791551
0.003829688 0.185980179 0.011809939
0.015125907 0.20377473 0.001432849
-0.000716743 0.210022346 -0.013447431
-0.035900143 0.198135854 -0.016741684
-0.050028471 0.167964856 -0.003945775
-0.059195818 0.134519288 0.010320285
-0.076167302 0.122638103 0.02754357
-0.076245259 0.123233492 0.042795064
-0.066579868 0.120677842 0.058378587
-0.067142646 0.115128775 0.068663298
-0.059252533 0.11172061 0.066319766
-0.036442333 0.10855305 0.063381143
-0.017471048 0.132174277 0.068538731
-0.024127766 0.160580769 0.039977699
-0.030197534 0.161900477 0.008810906
-0.031350388 0.155637238 0.001915684
-0.048020218 0.147153295 0.002828691
-0.055986442 0.127490084 0.017577488
-0.066442195 0.105277158 0.031493991
-0.076921137 0.094982459 0.045250496
-0.074766588 0.105768088 0.053337581
-0.059485094 0.102782299 0.057294926
-0.043606113 0.096214417 0.071932576
-0.039446498 0.119521342 0.078186616
-0.034674845 0.135862545 0.060973635
-0.02329875 0.124990109 0.0298517
-0.004096634 0.128271775 0.002345733
0.008682978 0.140527403 -0.012333716
-0.000696487 0.151164717 -0.011784897
-0.034409678 0.14450579 0.000355222
-0.05779402 0.116081406 0.008296028
-0.0535157 0.085781745 0.015205929
-0.048014239 0.07831879 0.031026325
-0.056198804 0.092110315 0.051929572
-0.05567754 0.098695508 0.061317931
-0.041185526 0.104852179 0.058135356
-0.034230053 0.119751994 0.058686581
-0.032461917 0.13634931 0.061154629
-0.028332911 0.138074924 0.049219203
-0.020826787 0.138214058 0.026234127
-0.029377615 0.12904613 0.007363886
-0.043930894 0.112738026 0.002662531
-0.060179947 0.09350886 0.010990479
-0.057883689 0.079239865 0.024266394
-0.029194745 0.083403372 0.025472694
-0.027055419 0.091144107 0.02624221
-0.039816315 0.096254286 0.034668957
-0.031997413 0.097535663 0.056896712
-0.008176722 0.108114528 0.069798794
-0.008289415 0.127290158 0.075687023
-0.022541355 0.137523912 0.075951857
-0.02791348 0.133858132 0.067306812
-0.026903882 0.123422817 0.059169108
-0.026942743 0.107243851 0.037839499
-0.032832353 0.080688999 0.033254252
-0.044820877 0.059351933 0.036123262
-0.04511114 0.056283746 0.045096421
-0.041873431 0.063385897 0.044270285
-0.041039498 0.069491659 0.049264678
-0.018642755 0.08560139 0.069306119
0.014458926 0.111345663 0.074743479
0.033679433 0.133544862 0.064242697
0.034606732 0.141119537 0.052758113
0.035662131 0.155169292 0.049218777
0.037302078 0.160190229 0.030167608
0.031286695 0.169496573 0.020963671
0.054060959 0.162604771 0.020810244
0.050407582 0.155050239 0.026787711
0.049317598 0.130838839 0.074720235
0.039196785 0.104520489 0.066613451
0.000812619 -0.214419711 0.046561759
-0.022128742 -0.202658285 0.009440316
-0.040357708 -0.206242749 0.004975569
-0.057291266 -0.227286449 0.016982412
-0.042452853 -0.234234815 0.03262914
-0.021697727 -0.232183566 0.03375429
-0.005472918 -0.230100067 0.029612515
0.015736768 -0.224364375 0.025067552
0.025846092 -0.223656126 0.033539116
0.039259479 -0.222166552 0.040583609
0.046352846 -0.209118335 0.033994525
0.031605794 -0.196693507 0.011949121
0.00523362 -0.199642949 0.00521816
-0.017464656 -0.198569093 -0.012193702
-0.026054139 -0.201506795 -0.019806889
-0.034738644 -0.213541314 -0.020012266
-0.032308611 -0.225837244 -0.005002685
-0.04040646 -0.242474293 0.012443344
-0.040606529 -0.234694136 0.0249388
-0.028634844 -0.223885918 0.040551316
-0.008480388 -0.222942834 0.04714787
0.005631431 -0.212602257 0.052073587
0.01930013 -0.193164385 0.048360046
0.038593961 -0.188640683 0.051405057
0.049797219 -0.195665161 0.042020302
0.035331479 -0.206293875 0.005395674
0.00229689 -0.217796726 -0.020046707
-0.011535391 -0.238431403 -0.036637275
-0.01663856 -0.238231815 -0.0291436
-0.011007682 -0.233318262 -0.019035664
-0.007898095 -0.215124979 -0.002510709
-0.011985332 -0.203400488 0.012218344
-0.013955147 -0.186690343 0.01544672
-0.0078536 -0.169657049 0.029063735
0.004139752 -0.167520707 0.053770706
0.020422024 -0.17301631 0.061244498
0.035746324 -0.160974168 0.04835649
0.036507522 -0.164151332 0.027469496
0.020015645 -0.185079345 -0.012285558
0.016257343 -0.208860281 -0.035915658
0.01347525 -0.235456533 -0.033025313
0.010988057 -0.23385538 -0.029950398
0.010380531 -0.229955159 -0.020106842
0.005598665 -0.215025957 -0.012585
0.003420091 -0.202772898 -0.009446353
0.012152922 -0.187363089 -0.003427411
0.025670345 -0.175256925 0.00641273
0.033280878 -0.162294641 0.015253829
0.022770572 -0.151517827 0.01393078
-0.012448098 -0.133371219 0.016678585
-0.04008187 -0.130729728 -0.004406684
-0.045623534 -0.156176068 -0.031937024
-0.03483147 -0.176952715 -0.040759324
-0.038314493 -0.201929385 -0.039417169
-0.030303256 -0.229219519 -0.041755492
-0.007741441 -0.251659033 -0.042207222
0.008527542 -0.252303055 -0.021836073
0.030078598 -0.234012744 -0.005413815
0.038371284 -0.218321227 0.004842009
0.043001968 -0.200098574 0.008547123
0.042948983 -0.183913441 0.009042563
0.041073201 -0.172449634 0.013911558
0.02893404 -0.163605964 -0.004409196
-0.004425145 -0.140977332 -0.046295582
-0.020102558 -0.139327877 -0.075567229
-0.017528155 -0.158906008 -0.076643941
-0.01047886 -0.18109257 -0.062951572
0.013434539 -0.206935329 -0.04791833
0.025803593 -0.224093859 -0.040133505
0.028352672 -0.220906645 -0.028572207
0.045291823 -0.205910771 -0.013337145
-0.008948617 -0.192561947 -0.003541908
-0.004835488 -0.172736225 -0.003584518
0.012624388 -0.151989907 -0.011658534
0.041534907 -0.135894804 -0.009938563
0.068501836 -0.127000926 -0.02340236
0.074411734 -0.120233213 -0.001714081
0.076416631 -0.112775224 0.007344764
0.065877981 -0.138086662 0.018228062
0.0476888 0.032498725 0.026455772
0.009535296 0.03209848 0.019398492
-0.031169523 0.052976455 -0.013922321
-0.037806642 0.09516755 -0.039733758
-0.034816139 0.119169047 -0.059643653
-0.021430862 0.117228059 -0.073228206
-0.008112543 0.131885908 -0.081866007
-0.001582707 0.145868559 -0.077171984
0.012486651 0.13058825 -0.060783514
0.035961034 0.113292839 -0.044541492
0.06293849 0.09243546 -0.027643796
0.069919771 0.076049163 -0.004039453
0.064475772 0.047711695 0.008292946
0.052576518 0.025891592 0.015476494
0.024444175 0.023801007 0.021248137
0.012379275 0.039124047 -0.005688056
0.011032554 0.058658992 -0.058707531
0.003446169 0.075648593 -0.077354772
-0.005336974 0.079624387 -0.094012832
0.002176956 0.095885073 -0.091620103
0.021149666 0.117777206 -0.090989994
0.028501508 0.136438639 -0.081096327
0.034259052 0.114114681 -0.063611576
0.045817884 0.073867888 -0.046500632
0.047196913 0.058887584 -0.027201172
0.049249042 0.056751878 -0.021761095
0.048624286 0.066534606 -0.005635378
0.01365065 0.064165282 0.0017952
0.007807418 0.059897349 -0.005263739
0.024270495 0.065930704 -0.040153499
0.032985607 0.081902553 -0.052967424
0.041401981 0.091845454 -0.053340896
0.044820997 0.111409571 -0.063809129
0.052567152 0.125449739 -0.059978202
0.063675631 0.112615063 -0.053558251
0.071529691 0.08416299 -0.050303521
0.067300689 0.066832545 -0.048026595
0.061357825 0.065033729 -0.04122221
0.063630651 0.068243468 -0.02416892
0.074407066 0.063016811 -0.011958883
0.051860648 0.064116973 -0.024163679
0.016376921 0.080317509 -0.048903073
0.002075541 0.094279859 -0.075541149
0.004463615 0.099722271 -0.082573998
0.018968352 0.108508648 -0.080373681
0.03046296 0.108931544 -0.069876242
0.041377627 0.107420624 -0.053065618
0.057267489 0.10342062 -0.032825927
0.06592984 0.10033964 -0.028391356
0.064518168 0.097421011 -0.0313217
0.065200665 0.076022737 -0.026390767
0.070030958 0.07638326 -0.026697253
0.055008979 0.081196364 -0.02798078
0.021407228 0.082735871 -0.02918353
0.005780483 0.09138285 -0.043027948
-0.003223971 0.098821016 -0.045759656
0.004069324 0.111298541 -0.041641782
0.026292069 0.126870632 -0.049848365
0.039668002 0.113981584 -0.064193017
0.045339896 0.102053047 -0.071595147
0.056836857 0.102362063 -0.05694465
0.078844905 0.094591071 -0.038106522
0.088858569 0.077333198 -0.037826602