Distance from plane to ellipsoidΒΆ

plot plane to ellipsoid
0.0
0.8814493823470969
0.050418701046363645
0.2760002825040585
1.1934931779991818
1.4045169134962403
0.11665840745788236
2.2982524185192146
0.5607565612282475
0.18568329439849637
0.5562255307523798
0.0
1.0372543090633917
0.9345595053225203
1.2735239837244494
3.1119812763666213
0.0
0.5112180429516284
0.2339949293600493
0.0
1.4951580566401146
0.0
0.7603095115144785
0.6581921386538938
1.9872750188038975
0.5894725091420613
1.5486667995356047
0.0
0.0
0.5290760481349374
0.9308500328725913
0.2536819102661182
0.0
1.7251022293099472
0.006203866669378666
1.050384975061411
1.2425014832278256
0.0
0.0
0.8057890755665793
0.0826078858817828
0.0
0.4597467115480834
0.07275733600559417
0.0
1.2643722290014467
1.9851017297181284
0.0
0.31918836241805304
0.3926852794656961
0.42860830264044303
0.816985936091247
1.5871035660828128
1.1502200939433074
0.7129271145277982
0.15621557823047455
0.29262521863801283
0.0
0.1251792729708744
0.15330500400377878
1.7386290704724128
1.219995188386219
0.8190722343378918
2.732994797682858
0.37899361797710096
0.0
0.03587134211446996
1.1428410609709583
0.6874307113605367
0.0
1.512536613853015
0.0
0.3803032813319239
1.7989809928021372
0.6274401825391542
0.867264147988408
2.675095622341137
0.6482054888250761
0.0
0.4860542823726245
0.947523985211011
1.6036297179825718
0.0
0.37057133901020634
1.247253119019887
1.6003114084014214
0.3812342836420317
0.6918177353877514
1.8105812435872546
1.7253400612401106
1.5667544161678828
0.0
0.8025887750248341
0.8592511843317666
0.0
0.3159444285960578
1.6251064006866072
0.0
0.0
2.379231429656092
0.575947074779348
1.3745621289438499
0.07377135079776997
0.0
0.9863608499000508
1.6127391214029156
2.85940126132799
0.10652819120661916
0.0
1.2283649275651034
0.16949682665737836
0.0
0.19216639535671837
0.009062160945950803
1.4035397133776992
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0.7340326216521956
2.4177058396245523
0.0
2.6831547962103657
0.5828095308203198
1.720421207429026
0.0
0.6777096038949053
0.8217699002544687
0.14140195433667102
0.0
1.2272991498755976
0.9648978060717226
0.28199140199039474
0.9590258766666494
0.0
0.0
0.516773421727927
0.0
0.11496650371278443
0.24686336401369186
0.3514426122164187
0.0
1.0727601913122968
0.0
0.0
0.0
0.0
0.6207931881375457
1.3444091850094642
0.08702285189867132
0.5151301549606419
0.9618219089034669
0.24223822079915908
1.8189833187202977
0.6320343163327145
0.0
0.0
0.0
0.0
0.0
0.0
0.8200545234115525
0.11159321082339646
2.3929368658829495
0.0
0.6467088211433947
0.0
0.0
0.8810823005236013
1.121291501997762
0.21955412013952966
1.1011644848418305
0.07533311709871932
0.29980330303480274
0.8786935049517413
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1.2933921718656491
0.0038918965721550514
0.07542254020469083
1.6863302023294786
1.5331882837605977
0.7045881534831577
0.0
1.246934060741607
0.0
1.4362669711906466
1.1330580978227425
0.05517676052012088
2.9685122860505766
1.747711692589537
0.0
0.0
0.0
0.14945251342728944
0.0
0.0
0.3500205256107134
0.30214951294493486
0.20513456258528892
1.599113123075211
0.0
0.0
2.569490455158891
0.1770446498313032
0.1776859630830332
0.5641911615807502
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0.6305875848481713
1.5241442795870888
1.431721941585086
1.5055574503151203
1.4072071156794124
0.0
0.11519561589192764
1.440178378321796
0.6849909635710326
0.8427772953213286
0.6310780626205446
0.0
1.5920826830015447
0.3354576939099484
0.0
0.0
0.0
0.052728618395177465
0.9320489043241329
0.9858316092416695
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0.3597588862304363
1.7742316563964933
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0.13732277753230585
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0.0823073430423037
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0.9032359060025882
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0.8588833954235605
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1.4956773119359412
1.7910692108484998
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1.5130899040128816
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0.9970730432964207
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0.4270076173111531
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1.525114395098079
0.0
0.0
0.0
2.3216433479403435
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0.0
0.0
0.830561445458303
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0.0
0.0
1.3204076880642157
0.4626438176662479
2.58630426227281
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1.4226225068729148
1.5183873030128203
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0.3762360309239383
0.005248161158180609
1.7598618431033746
0.0
0.061667659276378295
1.6127633019087333
2.045118601161651
0.5646873383259645
0.4537541796214324
0.6181353080775625
1.911651363429204
0.0
0.10088809455138692
0.0
1.0243148155838133
1.4316912939540811
2.2259805265730757
1.1793051943165582
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0.27532404707804137
2.2178527090998705
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0.13570811982887102
0.6565024347607606
0.1453268823865127
0.8338928265151585
0.22847142340534657
0.0
0.0
1.4823726423205732
0.0
0.31853395901306675
0.7091875822464752
0.33324892242396204
0.0
0.0
1.0729432063159288
1.4399692461728444
0.44849105184919325
0.4700296108220601
0.0
0.7749336333980517
1.362551802121097
0.1733678139281779
0.0
2.31199966398607
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0.306030240867299
0.42462151050462893
1.802705589900448
1.2800588860504816
1.7262295384146
2.008980572467543
0.0
2.306466187101766
1.4347854864043947
0.7076418600670468
2.5940116146124605
2.0901612501545044
0.4150427911871867
0.8496664523256889
2.53068825995378
1.5526273820332754
0.19979421825643073
0.40613310776087697
1.2176245784817914
0.37894844633242486
0.0
1.3251736562519554
1.3318299887195715
0.0
1.8206088937973657
1.4040990331315908
0.7293055633308252
2.003605510572597
0.0
0.0
0.0
1.4530594072455918
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2.4165970813865774
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0.4099556520352948
0.30958730770631115
2.397715200209871
2.1005112903385146
0.003485121332800878
0.564794465100134
0.0
1.7695827837960691
0.4408915093649346
1.638390884933663
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0.6222860043998885
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0.8487984360765215
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1.6420151081829903
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0.0
1.8247144792343437
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0.2367311184292618
1.6173602900148163
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0.18186670564298835
1.359002627364726
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2.4339976213925545
2.3493091230198346
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0.5788173531595593
0.7698101211963588
0.08431818619359999
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0.494026553834371
2.0376717687425185
2.3261791378853647
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0.24081100616194823
0.7007481111951505
0.5052073776137147
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0.0
0.0
1.4913088767791534
0.1686792477748487
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2.3995276931034004
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0.8041013852806509
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2.4987901600685962
0.7640858956904587
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2.2570884943695018
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0.08719440002559159
0.8891319222757149
0.5818601008968817
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0.0
0.14853518605587446
2.0940098433283527
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0.8443570764526688
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1.9865856798307124
1.3501693314300085
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1.1913293116655224
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0.8636009722230668
2.5162350388810224
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1.299512100945492
0.426606148418001
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1.2633242118326915
0.25263466511232424
1.726340740365811
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1.704671662920029
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0.5312589433228954
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2.5118401983779632
0.14222626605867716
0.47631543570322266
0.4398778961213786
0.02352184096817589
0.0
1.5446660269730903
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0.7501284972565132
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0.3581324681021071
3.0840864261676346
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1.2025720456658182
1.3095259129439183
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2.1236914960196533
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0.45593022728867
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3.396650275348208
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1.2244026507142165
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0.3685712688551299
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2.6529412053043675
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1.0665159670360875
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accumulated_time=1.1395819187164307

print(__doc__)
import time
import numpy as np
import matplotlib.pyplot as plt
import pytransform3d.transformations as pt
import pytransform3d.plot_utils as ppu
from distance3d.distance import plane_to_ellipsoid
from distance3d import random, plotting


random_state = np.random.RandomState(2)
ellipsoid2origin, radii = random.rand_ellipsoid(random_state)

ax = ppu.make_3d_axis(ax_s=2)

accumulated_time = 0.0
for i in range(15000):
    plane_point, plane_normal = random.randn_plane(random_state)
    start = time.time()
    dist, closest_point_plane, closest_point_ellipsoid = plane_to_ellipsoid(
        plane_point, plane_normal, ellipsoid2origin, radii)
    end = time.time()
    accumulated_time += end - start
    print(dist)
    if i > 1:
        continue
    plotting.plot_segment(ax, closest_point_plane, closest_point_ellipsoid,
                          c="k", lw=1)
    plotting.plot_plane(
        ax=ax, plane_point=plane_point, plane_normal=plane_normal, s=2,
        color="b")
print(f"{accumulated_time=}")

ppu.plot_ellipsoid(ax=ax, A2B=ellipsoid2origin, radii=radii, wireframe=False, alpha=0.5)
pt.plot_transform(ax=ax, A2B=ellipsoid2origin, s=0.1)

plt.show()

Total running time of the script: ( 0 minutes 1.579 seconds)

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