FIND PLANE IN X,Y,Z
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    Patrik Kopecky
 il 5 Ott 2021
  
    
    
    
    
    Commentato: Patrik Kopecky
 il 5 Ott 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
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
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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
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1.60203115233308	7.20223095999398	0.769647803380844
1.59947059124083	7.23954109097356	1.90064529549403
1.67712919982525	7.30255772378935	0.850777474934751
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1.84785982358194	4.12647743840129	2.02193885707134
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1.95655045539832	7.22403455599311	2.06440194462193
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1.99603807010782	7.32952477635921	1.95351122348870
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3.22638744937276	0.384991274337020	0.265376642316706
3.21516185607069	0.378874809137393	2.38227200720755
3.22589202683294	0.502920797294075	0.160025381401403
3.23277730130632	0.522097992462435	2.50927218628241
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3.21638231009308	0.688892679822821	2.58161705181161
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3.18810659921413	0.854378017136284	1.25064638681924
3.23190977507348	0.823861647790671	1.43379465343957
3.22993576465926	0.863651393620297	0.0485963389322115
3.21974290092627	0.869996732626378	2.60886800864126
3.20052025134101	0.851817999144248	1.14329808877134
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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 Commento
  DGM
      
      
 il 5 Ott 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)
Risposta accettata
  Nathan Blanc
      
 il 5 Ott 2021
        hello patrik. if I understood you correctly, this function could help you
https://www.mathworks.com/matlabcentral/fileexchange/43305-plane-fit
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