FIND PLANE IN X,Y,Z

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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
0.0277582276080720 0.0955558168802080 0.658938179272685
0.0412264312310352 0.0822115600545635 1.96415064700056
0.0402123770327296 0.182380048122850 0.545358771552734
0.00122041090843886 0.170165638765841 2.10223338582623
0.0185752769604215 0.266795712597583 0.404471934689573
0.0245934937283983 0.259694126660489 2.25180661754813
0.0233026120820461 0.401065207350604 0.252450954515442
0.00208569002024307 0.360221102510658 2.37630647544941
0.0308500912652099 0.523573882349765 0.138753889100098
0.0289016460181660 0.515550828696910 2.48766239921797
0.0149404422778900 0.667714499587129 0.0741854268748246
0.0217833022310368 0.665532322944114 2.54473555079880
0.00683165161931952 0.845070972564383 1.32494597503926
0.0149860384295764 0.811129061827815 1.22512759650617
0.0380687384429865 0.855515532908102 1.40430407836188
0.00176512649735878 0.861346308401459 0.0431053615105705
0.0134750005254912 0.826952304616995 2.61221121832543
0.0498134255363590 0.830397723655530 1.15005363144835
0.0223472950166742 0.872818273583777 1.49028507222562
0.00763924367440596 0.890351676721000 1.06903314127527
0.0443114091187815 0.908823220942090 1.56403648966914
0.00156901899168410 0.928009003520159 0.987601783667949
0.00580174692641625 0.957275788248560 1.62775800102138
0.0125427521450653 0.991035136492459 0.917762274399873
0.0379837472832518 1.02851979503081 1.72067665913048
0.0449154812591280 1.04689488142191 0.0252477593875969
0.0111710243747912 1.02769781766760 2.63610541662162
0.0336649566404527 1.09563482354132 0.905042328251128
0.0409392904135229 1.08177444912762 1.74646012021795
0.0474464902259829 1.16799472153907 0.839834802822438
0.0437157663702733 1.15735084378325 1.77305375963051
0.0196868151245360 1.22276397617620 0.828864862929222
0.0468481158087450 1.25848830940559 1.82751116663024
0.0218447859251529 1.32574277320705 0.848865984573689
0.00812612504342318 1.34994876786799 1.82757908891648
0.0154910434665718 1.40569044507502 0.809786485892919
0.0340554711177065 1.39712961070854 1.82151125572110
0.0467027492017849 1.50750742405683 0.844072490435514
0.0473694615812021 1.48668187258574 1.79695603260248
0.0299541552910564 1.55587911780795 0.889153332666985
0.0474437070065280 1.59443035117415 1.73887294774675
0.0202009130009927 1.65604994468296 0.935974824212437
0.00205162221068497 1.66838880685793 1.72126390492202
0.0146912770622093 1.70388062651960 1.02452457904441
0.00159697433620153 1.72381080317585 1.65602875256326
0.0432256483996506 1.77325481056842 1.09853116451269
0.0216273193061528 1.75103289009000 1.55630831985422
0.00464042702835530 1.81553702729774 1.16131062919736
0.00688958466280785 1.78426211177752 1.49035258669092
0.0120985599452766 1.80065391027295 1.24129312235639
0.0111504521385875 1.81519694268484 1.39674154096648
0.0433870023897066 1.81214081808842 1.31969626807782
0.0382088351810124 3.16009618845836 0.0170121130319095
0.0172357245809623 3.19076722965306 2.61782379312923
0.0192390090035121 3.19306147886399 0.0186519944815539
0.0297432600797329 3.19301690723534 2.60576811619483
0.0410367487176189 3.35725307151785 0.0250604879090173
0.0309584984542963 3.36576179653738 2.64084554566295
0.0994230633394911 3.48336468010184 0.0171753497089252
0.0699711352473294 3.51553771648032 2.62492671446983
0.172633129716916 3.65855675608268 0.00590119913115942
0.145427826996012 3.66451061478964 2.62877573829910
0.254071491676797 3.80899855989446 0.0257732122839424
0.233668710856533 3.77756335235332 2.61776373864147
0.337177553489624 3.88350938401338 0.0431674465664171
0.382810324562167 3.89576172672524 2.61720065368843
0.496698515133677 4.01352284908205 0.0228440690710236
0.503558663678753 3.99898086444435 2.61190435022111
0.648877816664837 4.06516275612442 0.0385581540106523
0.656044730324977 4.05173140400100 2.61367013072664
0.825836816671606 4.09894724241493 0.0262501056483778
0.813154193555911 4.11991318774926 2.62655557755302
0.977866061472732 0.0408318703265882 1.04366920932459
0.984592144316558 0.0352760494959631 1.64688055631901
0.972973022464189 0.0440191916349725 0.828787695422786
0.942302053626204 0.0648953716438824 1.82259038850312
0.951315265186592 0.0833670433064366 0.689596139193329
0.936439307630669 0.0849750423120739 1.94565186845379
0.969727550624152 0.147672581227330 0.510591200589500
0.982937848481988 0.166729741194920 2.11799426580027
0.971452356870859 0.254308401834014 0.378546458479940
0.971837712717681 0.248953704128682 2.28069486829494
0.943730534032988 0.387484173076496 0.279743085548296
0.952770479733841 0.396771058077712 2.39753152881459
0.963732474784683 0.548544678393955 0.181770052487055
0.957997266039464 0.538669191365830 2.50378127433454
0.976686241985125 0.687978931485051 0.0866129384376018
0.975772202674589 0.680433277639891 2.58219819020110
0.951197589592782 0.807673590824357 1.34080149855727
0.958084227208602 0.818157797217169 1.21978241637546
0.968697963274309 0.842613599124914 1.42486022023049
0.964761326056234 0.874160930729821 0.0460538704013889
0.941719367297931 0.858125254667027 2.60469023370546
0.935974592019258 0.874717261758675 1.17105353412068
0.941255424992396 0.840967954374478 1.47292607427748
0.946163804036073 0.901164473271455 1.05481024871829
0.957456876946641 0.882740218968413 1.59740518333785
0.961726580072946 0.918247092189412 0.998406945182058
0.984519501563399 0.957990215078703 1.64800690467202
0.970867361705703 1.00023959941150 0.962159887117610
0.984002876398049 0.983041495084646 1.70002402272306
0.937686892275306 1.04675419957267 0.0331947822460633
0.966843711693795 1.01953884080010 2.63636795788399
0.983019097384995 1.07939653463904 0.878137968025936
0.948496157460629 1.06199174938409 1.76078537783206
0.982470375334825 1.16166818515638 0.852915337193957
0.980111715393701 1.14731655910266 1.80035954705127
0.944732423347441 1.23723838946027 0.834795648964550
0.971697578288791 1.23326017104775 1.81832163412582
0.943743063664813 1.31668982952391 0.814302339665966
0.940257054958841 1.31337922073685 1.84395076048229
0.950705635785145 1.42521615998465 0.854423298909015
0.952438285412889 1.39884310775001 1.83271428127454
0.954948115904729 1.51907394699976 0.878607950045246
0.949195875119115 1.51718765199000 1.79605806626247
0.950695597970869 1.56371241717587 0.872630734753900
0.970913992179163 1.56116402056897 1.76552439818212
0.982232338817114 1.63399997792591 0.926522061563909
0.939389441042003 1.63374347079668 1.72586905242940
0.948976722381075 1.69500107951584 1.02574881807851
0.964807961371187 1.70443480870613 1.62656614476777
0.976421731744336 1.77430897058443 1.06482189967573
0.974107629277733 1.76387198830728 1.58995177305534
0.962861938876769 1.77954004026597 1.15107567288252
0.936813821897090 1.81025039251688 1.49563611699332
0.968468591095752 1.84168552688957 1.21465170144742
0.977449427304082 1.79983393959838 1.41545618107177
0.938273230962001 1.84265149271834 1.32862306063208
0.953038283911800 2.86193024057288 0.0370845684293191
0.947902564818750 2.87084717058985 2.60383018278010
0.961629824457885 4.11611989974992 0.0393583233022889
0.955303543015167 4.12170183659552 2.60967465438162
1.35832937260912 4.11637109021430 1.32654633752579
1.31649659036026 7.20494824839699 1.34620644138551
1.33226601297893 4.13355862462415 1.21906662672815
1.36606389417492 4.10246783942287 1.47900077105164
1.35247951020494 7.21004960353864 1.18500224624435
1.34130232394891 7.22495665562850 1.46791802152015
1.37303503880909 4.11377087053148 1.05380268198347
1.38755922443126 4.12098010076406 1.59958413327913
1.39188513111674 7.22984945336439 1.07637713438301
1.39181562457524 7.20245705473681 1.56162538541770
1.45790886271376 7.34433416226469 1.32902319250197
1.41277869874807 4.14291486297987 0.973174425949521
1.43169903468239 4.10425298213490 1.71724358477329
1.41093184901859 7.20887064792639 0.962655356857164
1.44567123547238 7.20066973530531 1.71015244293059
1.45891952491062 7.32949946253676 1.19945984551397
1.44811691830319 7.33539329040990 1.41486831633909
1.45036455751457 7.33794631870313 1.10079256490992
1.44957799158070 7.31069875541984 1.52818180858291
1.53491516026686 4.14830826807442 0.825990299057948
1.49554907633865 4.12421935325373 1.80307857511152
1.52663363011445 7.20312321431898 0.851215068013020
1.50351423213511 7.20892276915435 1.83074850286116
1.52014607459539 7.31691335988794 0.988982486062027
1.50258567784196 7.34402430048769 1.65156964825198
1.60113428689719 7.30213621812788 0.928722655017537
1.58474338225418 7.31777056155575 1.72614506241350
1.59276447293270 4.13203687086851 0.764929155267604
1.59582936922135 4.14139409000639 1.87968168221799
1.60203115233308 7.20223095999398 0.769647803380844
1.59947059124083 7.23954109097356 1.90064529549403
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1.70803139300928 7.23027316403366 0.660761672008614
1.72387687606151 7.22511068183073 1.96253749763404
1.77583821275806 7.33683021317091 0.741081229836481
1.76656941650738 7.30560634921513 1.89968285624313
1.82172872216381 4.14422439886520 0.636363113128860
1.84785982358194 4.12647743840129 2.02193885707134
1.81603125801222 7.20027450534541 0.602037484347065
1.80679086841140 7.20814320496580 2.03806379660228
1.87404445527809 7.31311649336232 0.730721862220017
1.87602677294863 7.30194368225300 1.94448126209779
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1.96810506589381 4.10140972783803 2.05754703419981
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1.99511769249752 7.31392663330390 0.708777684806053
1.99603807010782 7.32952477635921 1.95351122348870
2.08610519087842 4.11437070204463 0.593345536953431
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2.10490150653358 7.20030300151312 0.556831529062369
2.10656161740898 7.22822632817872 2.05413452961471
2.08288216274806 7.31843480679902 0.686941160499458
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2.10693997380527 7.30105990679800 1.96902574348314
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2.21939094901645 7.32772837792712 1.95485125888305
2.21258419498970 4.13827169416945 0.574384892904891
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2.80710093898538 7.21663415951243 1.60306874692751
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2.81749304535067 4.14868504008043 1.43306103802003
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2.80487087668085 7.23949685175934 1.44422653776409
2.84456756974487 4.12485335069041 1.33900430447927
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3.18042377835428 4.13081404407708 0.0344122418326403
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3.22135794080126 0.928277872564089 1.66949361020498
3.18500363945839 0.999203935635497 0.950796944194167
3.19348825621936 0.979370749838725 1.71832615250378
3.20816449396114 1.03753352049368 0.0478846376577096
3.20309255034313 1.00310617084346 2.64699375152312
3.23260322350716 1.07158417071108 0.908675164741884
3.23160961073938 1.07713892031004 1.74077474227994
3.23290337581949 1.15949736243796 0.871675312424241
3.19532686379995 1.15080164357168 1.79305333630075
3.19298497948217 1.21722932072485 0.822530568444294
3.21358797113106 1.22737375473083 1.81856908316388
3.21464590235696 1.30366129253377 0.841581474073481
3.21993048027308 1.33649882989900 1.82695656995676
3.20029061598359 1.40414276694927 0.820587740043942
3.20469250983346 1.41943427529683 1.81010573848370
3.20184423408380 1.49509796150454 0.839490610493238
3.19144959484256 1.49013977083210 1.78737915685771
3.18934676058490 1.56634436353590 0.876473214754886
3.21244711021984 1.55515206739890 1.77479722315018
3.20088660503658 1.63991441874715 0.936185310955894
3.23463732158233 1.64026587676167 1.68349724678496
3.22117820545160 1.70711217670473 0.994057399216511
3.21360501228483 1.72280323880976 1.66323116149194
3.22086130136115 1.76758236104755 1.06406679337441
3.23382790416396 1.77550218117165 1.58906723713055
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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