FIND PLANE IN X,Y,Z

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Patrik Kopecky
Patrik Kopecky on 5 Oct 2021
Commented: Patrik Kopecky on 5 Oct 2021
Hi,
I need help with this problem. I need find the planes in XYZ coordinates dates. I have for example this dates and i need function for find the plane from this X,Y,Z. The function must find planes automaticly (select all planes), even if I change X,Y,Z dates fot others. This data representing data from 3D CMM measurement.
0.0115988104137245 0.0242161977231596 1.04267152500841
0.00840526341238206 0.0178182297678793 1.63418982173571
0.00133614345657810 0.0179108012478613 0.831668734225223
0.0161215439184201 0.0608960999969368 1.79874598427999
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0.0412264312310352 0.0822115600545635 1.96415064700056
0.0402123770327296 0.182380048122850 0.545358771552734
0.00122041090843886 0.170165638765841 2.10223338582623
0.0185752769604215 0.266795712597583 0.404471934689573
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3.20634947069108 1.79546044644711 1.15556564738346
3.23065063133249 1.81259799057415 1.47870581470624
3.22986550549360 1.81567589451480 1.23943857703787
3.22676137115334 1.80564624706500 1.40098600118996
3.18739785135018 1.83147416300278 1.33574325804173
3.20296397125020 2.87813684899824 0.0367194642460162
3.19978763758498 2.87705796643339 2.62248169678575
3.37468557473480 4.10538468054747 0.00910387169921301
3.35003848390769 4.10674222714486 2.60677692595295
3.52020122767077 4.05016721796631 0.0136385806832739
3.54473802251730 4.05792001300435 2.63178207998911
3.66251377496451 3.97443003395025 0.0403093959212548
3.65147537429718 4.02069893452984 2.63339377076651
3.83419290564655 3.91054458064917 0.0143294573649548
3.81447759083114 3.92467393828628 2.60712198277012
3.91229162903633 3.78526147974623 0.0122937617634202
3.92199163651774 3.78422930493262 2.63459475530813
4.03081853257482 3.65769658192078 0.00358734217539143
4.02196330882944 3.65981284793488 2.62493294838933
4.08522806948278 3.50681289773555 0.0492998888665762
4.09348818818718 3.51085943805241 2.64524493692073
4.11476903022697 3.32987039720490 0.0287603848756344
4.14615839646289 3.36130921203586 2.63832576833099
4.16095328388717 0.0325571748450899 1.03733837242362
4.14436214831182 0.0175544934065363 1.63476647498128
4.15775288226258 0.0156298188921432 1.03386586253207
4.14021898903313 0.0137125262973364 1.61411989602014
4.15628417761461 0.0226687838783375 0.855445220434027
4.12770079140114 0.0319095308323192 1.80459175735898
4.14545402634774 0.101959082349791 0.698691841842530
4.15340214207325 0.0719861678637234 1.94281953086318
4.12762914504147 0.137436645011301 0.510717630190715
4.12313516310692 0.158710955396593 2.14939327256014
4.13685610653845 0.240063114327557 0.398079257165147
4.14229756141992 0.254086610475437 2.27439168510026
4.15788278576939 0.361773105026391 0.268062919542240
4.12652704134382 0.393239798467497 2.40645536247712
4.16507595418467 0.517117145434365 0.147957703767206
4.13101727441863 0.528315244303624 2.49927381587350
4.13892789926677 0.690705464554981 0.0617735854293869
4.14113815681491 0.690604903689508 2.56691164801695
4.16863467240069 0.835042787830010 1.32644846460565
4.12885116457149 0.822651371394483 1.25683410673762
4.16411418792874 0.811869337769924 1.39620442699368
4.14756322992089 0.858023606678058 0.0617652757320342
4.13607495778231 0.839673552189828 2.63362548656824
4.16499264245712 0.874866292652724 1.14555015630052
4.14710594841496 0.845167152206313 1.50219555062734
4.14314482520548 0.902740134249491 1.07635298824158
4.16039910879236 0.883504903662025 1.57295414760196
4.13804127447137 0.935221426144145 0.996534445740870
4.16855051138672 0.946595168784530 1.63810727735445
4.14777622861779 1.02386543786458 0.921137525670359
4.15849134753507 0.991832606397176 1.70254235408572
4.15400641335268 1.04749129404633 0.0119671972972415
4.13026033994726 1.03693644896653 2.62431350409239
4.16173150905007 1.05022300971839 0.901991968228365
4.16327371388271 1.09253679029706 1.73987619281479
4.12207640153095 1.16376854431474 0.871477070625552
4.15071001366033 1.15711154104441 1.81634898112882
4.13366437395853 1.23006169849907 0.849032672404789
4.15733570825240 1.22981586022894 1.81665145531424
4.14439395973355 1.30386609169937 0.832988415513927
4.15961913708948 1.32291499886890 1.82282000641196
4.14622350719201 1.41968351512560 0.828519249769624
4.14987593867010 1.41542170407757 1.79411863027682
4.13100187225153 1.49111552111349 0.876496081005875
4.13820132523209 1.51774514739138 1.77201532293635
4.13486246393103 1.56802678310554 0.890790292962027
4.16258120834495 1.59738577197326 1.75230006297570
4.16868484212590 1.62289997872856 0.943680679888294
4.15118144260276 1.64344863316263 1.73293067423013
4.16461432206660 1.71805771815943 1.02372987387040
4.16904549781062 1.71817190149060 1.62213157469940
4.15234931763576 1.75852100390638 1.08902569875576
4.15994128780412 1.76362487058897 1.57426454404634
4.14024408459066 1.80716476734968 1.14850092314898
4.14411858396059 1.80991810067202 1.51216459416367
4.12319498036079 1.80924006611223 1.25689677005800
4.16014678893717 1.82060846748155 1.43674181312413
4.13755391233720 1.84276325583694 1.30978298178066
4.16246398490547 3.18945801599640 0.0434984459094702
4.16959072321537 3.18541214566634 2.61537448556425
  1 Comment
DGM
DGM on 5 Oct 2021
You sure this describes a plane? It sure doesn't look like it.
xyz=[ 0.0296691236605177 1.79279935905549 1.41575393415215
0.0304032459663228 1.84595361118952 1.33878920749912
0.0386179793493447 3.18053532561335 0.0330697315272552
0.00281368078711963 3.19661837321998 2.62348276657961
0.0427362573474223 3.16755534977371 0.0109883809922638
0.0192142162772204 3.20076174966504 2.63012939156536
0.0342616602834366 3.36870943948979 0.00921294983908851
0.0305515865019062 3.36212643595589 2.60987539040812
0.0844584400888975 3.51935511350158 0.0430996073241739
0.0714599397255710 3.50175883285734 2.60628236724687
0.144242120850238 3.66509493003090 0.0322790127861751
0.143388537182101 3.65827292287841 2.62186581514769
0.251429424012181 3.79345705532811 0.0306302533749097
0.253140325275620 3.78146596769530 2.63687402537039
0.385384483731480 3.91529331557000 0.0151639723581622
0.382997730008738 3.88812483754611 2.60214829029666
0.487517391901230 3.97413956995935 0.0417753765320605
0.479649896051735 4.00216391589806 2.61846531361028
0.664479874080192 4.07063532532679 0.0330669653216674
0.632935669678181 4.07085250717065 2.64478590053315
0.804313682320696 4.12044594662126 0.0137049532953472
0.822736918635846 4.13209381318426 2.64989482848506];
x = xyz(:,1);
y = xyz(:,2);
z = xyz(:,3);
scatter3(x,y,z)

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Accepted Answer

nathan blanc
nathan blanc on 5 Oct 2021
hello patrik. if I understood you correctly, this function could help you
https://www.mathworks.com/matlabcentral/fileexchange/43305-plane-fit
  1 Comment
Patrik Kopecky
Patrik Kopecky on 5 Oct 2021
yes this function fit the plane, but it is second part in my case. At the first i need search points, which define planes. Finding planes must do Matlab, not me.

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