Circles' Circularity Illustration of chrome on glass target and chrome on ceramic target
Background
Chrome on ceramic calibraiton plate and chrome on glass calibration plate as below have same circle array pattern.
The circle pattern profile, or circularity here, of two plates are compared. One plate is made of glass with chrome pattern. Another one is made of ceramic. An industrial camera system, 20Mega pixel camera with a telecentric lens, are used to capture images of both plates.
General computational Logic is as below:
1> Find circle edge points from dark-to-bright transission;
2> A best-fit circle is found based on edge points;
3> Distances of actual edge points to their ideal edge locations are calculated;
4> For a same circle, circularity value can be deduced absed on these distances;
Conclusion
| Circularity results of chrome on glass calibration target | ||
| circle 1/um | circle 2/um | circle 3/um |
| 0.930355217 | 0.882166867 | 0.745621688 |
 |  |  |
| Circularity results of chrome on ceramic calibration target | ||
| circle 1/um | circle 2/um | circle 3/um |
| 1.632780942 | 2.001454584 | 1.740648624 |
 |  |  |
Original Datas
| Glass plate circularity - circle edge points to its best-fit circle/um | Ceramic plate circularity - circle edge points to its best-fit circle/um | |||||
| Error of circle 1 | Error of circle 2 | Error of circle 3 | Error of circle 1 | Error of circle 2 | Error of circle 3 | |
| 0.091995961 | 0.050258151 | 0.130265936 | 0.690279699 | -0.154455564 | -0.198290834 | |
| -0.169715055 | -0.029823 | 0.114100118 | 0.051954771 | -0.048769763 | 0.362189014 | |
| -0.21416425 | -0.070387738 | 0.077060318 | -0.181674373 | 0.25432293 | -0.12970735 | |
| -0.01142235 | -0.009703095 | 0.251599688 | -0.252535435 | 0.065962548 | 0.2970796 | |
| 0.003859566 | 0.038180366 | 0.111241407 | -0.038615636 | -0.228296616 | -0.06482041 | |
| -0.097560225 | 0.157394146 | 0.077939498 | 0.050049835 | 0.004864981 | 0.616196767 | |
| 0.13359006 | -0.15500293 | -0.091290406 | 0.063070369 | 0.429784191 | 0.616196767 | |
| 0.033398475 | -0.160039311 | -0.084630405 | -0.022962989 | -0.645827212 | -0.154196086 | |
| -0.056321212 | -0.088112065 | 0.140543844 | -0.521039056 | -0.114397137 | -0.067476698 | |
| 0.15607994 | -0.022261369 | 0.101283485 | 0.400277808 | -0.495253159 | -0.08585265 | |
| -0.043852083 | -0.479280449 | 0.060230889 | -0.052620713 | -0.020316403 | 0.004737328 | |
| 0.24610395 | -0.001501942 | 0.02681445 | -0.14806614 | -0.152180218 | 0.138382664 | |
| -0.286774453 | -0.269254764 | -0.03510439 | 0.035103911 | -0.090652639 | 0.08742304 | |
| 0.05835938 | -0.215635766 | 0.170371682 | 0.011147296 | 0.055159523 | -0.005504426 | |
| 0.1208963 | 0.103831788 | 0.141598408 | -0.330031932 | -0.330863685 | 0.911506222 | |
| 0.152811544 | 0.068478188 | 0.180770229 | 0.556199511 | 0.301711589 | 0.078344887 | |
| 0.198294141 | 0.029427128 | 0.05978146 | 0.189384886 | -0.10398427 | 0.045048007 | |
| 0.199588578 | 0.247820192 | -0.16448023 | 0.399707331 | -0.122508274 | -0.212919503 | |
| 0.272684222 | -0.003986382 | 0.157125903 | -0.079561022 | 0.806084643 | 0.046858827 | |
| 0.40783353 | -0.154998635 | 0.048317561 | -0.051900985 | -0.14948442 | 0.187946108 | |
| 0.235040734 | 0.223389077 | 0.004587461 | 0.223336638 | -0.366543421 | 0.090138193 | |
| 0.191184431 | 0.045486546 | 0.14728261 | -0.193835993 | 0.268406048 | 0.575024272 | |
| 0.036707914 | 0.136829844 | -0.089203279 | 0.151630013 | -0.129058214 | 0.0995647 | |
| 0.01949872 | 0.117883342 | -0.316826537 | 0.147328844 | 0.004403614 | 0.253648531 | |
| -0.033760779 | 0.207696686 | -0.085870582 | 0.257288588 | -0.035368305 | -0.297348971 | |
| 0.023017749 | 0.047578671 | -0.157511871 | -0.206824271 | 0.222924939 | -0.07909764 | |
| -0.185901721 | -0.006294775 | -0.040820262 | 0.42549509 | 0.201559821 | 0.050687959 | |
| -0.082355358 | 0.100473711 | -0.148631652 | -0.044355988 | -0.016820575 | -0.43317066 | |
| -0.399342093 | -0.040110269 | -0.231112887 | -0.205556109 | 0.116559245 | 0.027722161 | |
| -0.131754926 | 0.010610411 | -0.165372541 | -0.152868248 | -0.322613138 | -0.392895313 | |
| -0.194473762 | -0.057159163 | -0.0583752 | -0.143310089 | 0.122550277 | -0.322531505 | |
| -0.178428809 | 0.017813329 | -0.141940781 | -0.085816675 | 0.152550588 | -0.192290387 | |
| -0.348457199 | 0.001381945 | -0.080989144 | -0.314980973 | -0.359728465 | -0.242197383 | |
| -0.112934797 | -0.006396027 | -0.060257957 | -0.277037561 | 0.640154717 | 0.031903433 | |
| -0.074978826 | -0.017771296 | -0.042830084 | -0.753476357 | 0.442074953 | -0.218983773 | |
| -0.317458118 | -0.205891414 | 0.180725428 | 0.036935189 | 0.103744964 | -0.040421537 | |
| 0.11238122 | -0.252349085 | -0.087568832 | 0.207899669 | -0.868538614 | 0.009062739 | |
| -0.174936528 | 0.127660439 | 0.029227841 | 0.538969105 | -0.259102955 | -0.309538552 | |
| -0.297581625 | -0.129305142 | 0.254315806 | 0.122081202 | -0.534710905 | -0.370262057 | |
| 0.019494976 | -0.118563885 | 0.282422472 | -0.424167064 | 0.050268728 | -0.168215191 | |
| 0.066060583 | -0.028193321 | 0.146287693 | 0.282819128 | -0.349193367 | 0.085858305 | |
| -0.031706697 | -0.049549018 | 0.221890137 | -0.189896761 | -0.209985101 | 0.064843084 | |
| 0.09633944 | 0.140416656 | 0.257098642 | 0.025357879 | -0.009824665 | -0.238702843 | |
| 0.021318125 | 0.028780256 | -0.117512106 | -0.381121826 | 0.559349493 | -0.094212577 | |
| 0.531013124 | -0.103020072 | 0.37712237 | 0.224083157 | -0.573418351 | 0.178920688 | |
| 0.408258166 | 0.19777205 | 0.187553074 | -0.147860483 | 1.00754664 | 0.361478261 | |
| 0.477641638 | -0.116846798 | 0.196647944 | 0.307762952 | -0.078827971 | -0.208886889 | |
| 0.260511255 | -0.152405934 | 0.057588359 | 0.462937101 | -0.08256025 | 0.606995549 | |
| 0.345117281 | 0.012694822 | 0.141985857 | -0.266459582 | 0.21870932 | 0.278074584 | |
| 0.318479556 | -0.136572258 | 0.179337105 | 0.035327109 | 0.07165238 | 1.007222509 | |
| 0.336655505 | 0.102757585 | -0.368499318 | 0.448863109 | 0.157227298 | 0.251022586 | |
| -0.046208571 | -0.032642637 | -0.036120826 | -0.241471726 | 0.056469147 | 0.143042311 | |
| -0.125247794 | -0.077709626 | -0.280441258 | 0.063353319 | 0.577329831 | 0.280984718 | |
| -0.061718187 | 0.402886417 | -0.060777036 | 0.879304585 | -0.307497544 | 0.126182953 | |
| -0.102055852 | -0.012168314 | -0.221940423 | -0.062138555 | 0.216043089 | -0.201351034 | |
| -0.247502303 | 0.097478346 | -0.168554537 | 0.004244868 | -0.349725533 | 0.02569446 | |
| -0.149994388 | -0.064579099 | -0.162200331 | -0.259675877 | 0.045112968 | 0.716333921 | |
| -0.083605477 | 0.027320993 | -0.365483307 | -0.369388946 | -0.595577621 | -0.006254585 | |
| -0.0881842 | 0.0472734 | -0.202338465 | -0.18926684 | -0.515742989 | 0.004922716 | |
| -0.321358346 | -0.090186506 | -0.202067386 | 0.501757286 | -0.037214137 | -0.515821836 | |
| -0.250556665 | -0.006732071 | -0.060910069 | 0.187229484 | -0.001080541 | -0.509758098 | |
| -0.069956847 | 0.102934286 | -0.003998168 | -0.114377074 | 0.748157599 | -0.455592075 | |
| -0.148409271 | 0.130665361 | -0.000275401 | -0.715297474 | -0.306307933 | -0.733426115 | |
| -0.069956847 | 0.113847932 | -0.003998168 | -0.133331586 | -0.504360517 | -0.437174242 | |
| -0.148409271 | 0.113847932 | -0.000275401 | -0.429654388 | 1.13291597 | -0.553970541 | |
| -0.171076391 | 0.135872544 | -0.219888512 | ||||
