tfourier_shape calculates a 'Fourier tangent angle shape' given
Fourier coefficients (see Details) or can generate some 'tfourier'
shapes.
Arguments
- an
numeric. The \(a_n\) Fourier coefficients on which to calculate a shape.- bn
numeric. The \(b_n\) Fourier coefficients on which to calculate a shape.- ao
aoHarmonic coefficient.- nb.h
integer. The number of harmonics to use.- nb.pts
integer. The number of points to calculate.- alpha
numeric. The power coefficient associated with the (usually decreasing) amplitude of the Fourier coefficients (see Details).- plot
logical. Whether to plot or not the shape.
See also
Other tfourier:
tfourier(),
tfourier_i()
Examples
tf <- tfourier(bot[1], 24)
tfourier_shape(tf$an, tf$bn) # equivalent to rfourier_i(rf)
#> x y
#> [1,] -0.068536123 0.03816985
#> [2,] 0.010421770 0.02861438
#> [3,] -0.063790622 0.05721817
#> [4,] -0.140579972 0.07793172
#> [5,] -0.183238239 0.14505793
#> [6,] -0.247181702 0.19235370
#> [7,] -0.320133871 0.22403393
#> [8,] -0.368197883 0.28740195
#> [9,] -0.418456077 0.34904422
#> [10,] -0.483991433 0.39410832
#> [11,] -0.527015593 0.46100060
#> [12,] -0.558482563 0.53404501
#> [13,] -0.615378810 0.58961904
#> [14,] -0.666002527 0.65096148
#> [15,] -0.703250243 0.72123426
#> [16,] -0.768466384 0.76675910
#> [17,] -0.843721723 0.79249409
#> [18,] -0.920086430 0.81472216
#> [19,] -0.990492372 0.77772677
#> [20,] -1.035089701 0.71187289
#> [21,] -1.107991534 0.68007700
#> [22,] -1.173409209 0.63484224
#> [23,] -1.172271234 0.55531639
#> [24,] -1.245117865 0.52339423
#> [25,] -1.169306190 0.54744097
#> [26,] -1.166890972 0.46794366
#> [27,] -1.134401707 0.39534818
#> [28,] -1.068636587 0.35062006
#> [29,] -1.007856315 0.29932275
#> [30,] -0.955597746 0.23936695
#> [31,] -0.898595892 0.18390125
#> [32,] -0.832707879 0.13935435
#> [33,] -0.769939719 0.09050956
#> [34,] -0.718591641 0.02977217
#> [35,] -0.653105984 -0.01536412
#> [36,] -0.579711689 -0.04600613
#> [37,] -0.541356302 -0.11568052
#> [38,] -0.489158357 -0.17568911
#> [39,] -0.526675851 -0.10555999
#> [40,] -0.483094002 -0.17209027
#> [41,] -0.411233403 -0.20617413
#> [42,] -0.384991638 -0.28125426
#> [43,] -0.346581120 -0.35089827
#> [44,] -0.281483742 -0.39659277
#> [45,] -0.223918101 -0.45147312
#> [46,] -0.163346561 -0.50301673
#> [47,] -0.086698985 -0.52424890
#> [48,] -0.009264515 -0.54240265
#> [49,] 0.061119622 -0.57943951
#> [50,] 0.129392040 -0.62023819
#> [51,] 0.196505793 -0.66291605
#> [52,] 0.256624481 -0.71498715
#> [53,] 0.315395180 -0.76857503
#> [54,] 0.379092808 -0.81620137
#> [55,] 0.442596932 -0.86408541
#> [56,] 0.501564226 -0.91745689
#> [57,] 0.558878373 -0.97259983
#> [58,] 0.616862632 -1.02703770
#> [59,] 0.683127662 -1.07102180
#> [60,] 0.761505112 -1.05750770
#> [61,] 0.789105491 -0.98291631
#> [62,] 0.836639557 -0.91914980
#> [63,] 0.850183366 -0.99752212
#> [64,] 0.787935223 -0.94801632
#> [65,] 0.760460379 -0.87337860
#> [66,] 0.699791505 -0.82194959
#> [67,] 0.638226839 -0.77159636
#> [68,] 0.596708767 -0.70375901
#> [69,] 0.552733618 -0.63748804
#> [70,] 0.492705339 -0.58531274
#> [71,] 0.437325328 -0.52822763
#> [72,] 0.414799359 -0.45195026
#> [73,] 0.364582422 -0.39027438
#> [74,] 0.378601540 -0.46856307
#> [75,] 0.344461362 -0.39672921
#> [76,] 0.268368346 -0.37358815
#> [77,] 0.341471182 -0.34225716
#> [78,] 0.264568188 -0.36254472
#> [79,] 0.260420375 -0.28311896
#> [80,] 0.189614910 -0.24689408
tfourier_shape()
#> x y
#> [1,] 0.07180984 -0.021600835
#> [2,] 0.15075934 -0.031225340
#> [3,] 0.23013665 -0.036215217
#> [4,] 0.30967032 -0.036441825
#> [5,] 0.38906775 -0.031783143
#> [6,] 0.46801342 -0.022127212
#> [7,] 0.54616750 -0.007376083
#> [8,] 0.62316501 0.012549767
#> [9,] 0.69861559 0.037706600
#> [10,] 0.77210399 0.068122234
#> [11,] 0.84319142 0.103790600
#> [12,] 0.91141783 0.144666174
#> [13,] 0.97630519 0.190658426
#> [14,] 1.03736185 0.241626453
#> [15,] 1.09408808 0.297374011
#> [16,] 1.14598265 0.357645144
#> [17,] 1.19255049 0.422120655
#> [18,] 1.23331139 0.490415643
#> [19,] 1.26780941 0.562078342
#> [20,] 1.29562306 0.636590466
#> [21,] 1.31637575 0.713369250
#> [22,] 1.32974637 0.791771305
#> [23,] 1.33547959 0.871098387
#> [24,] 1.33339556 0.950605069
#> [25,] 1.32339853 1.029508271
#> [26,] 1.30548416 1.106998471
#> [27,] 1.27974505 1.182252398
#> [28,] 1.24637417 1.254446860
#> [29,] 1.20566611 1.322773356
#> [30,] 1.15801575 1.386453009
#> [31,] 1.10391438 1.444751364
#> [32,] 1.04394344 1.496992548
#> [33,] 0.97876567 1.542572308
#> [34,] 0.90911431 1.580969494
#> [35,] 0.83578033 1.611755571
#> [36,] 0.75959829 1.634601855
#> [37,] 0.68143127 1.649284259
#> [38,] 0.60215529 1.655685401
#> [39,] 0.52264379 1.653794090
#> [40,] 0.44375265 1.643702265
#> [41,] 0.36630623 1.625599585
#> [42,] 0.29108470 1.599765946
#> [43,] 0.21881319 1.566562268
#> [44,] 0.15015279 1.526419940
#> [45,] 0.08569372 1.479829345
#> [46,] 0.02595051 1.427327877
#> [47,] -0.02864060 1.369487864
#> [48,] -0.07772228 1.306904765
#> [49,] -0.12101498 1.240185969
#> [50,] -0.15831411 1.169940464
#> [51,] -0.18948589 1.096769596
#> [52,] -0.21446215 1.021259053
#> [53,] -0.23323429 0.943972169
#> [54,] -0.24584674 0.865444582
#> [55,] -0.25239008 0.786180211
#> [56,] -0.25299420 0.706648514
#> [57,] -0.24782151 0.627282911
#> [58,] -0.23706051 0.548480268
#> [59,] -0.22091975 0.470601311
#> [60,] -0.19962242 0.393971818
#> [61,] -0.17340136 0.318884456
#> [62,] -0.14249491 0.245601122
#> [63,] -0.10714326 0.174355656
#> [64,] -0.06758551 0.105356812
#> [65,] -0.02405738 0.038791371
#> [66,] 0.02321052 -0.025172689
#> [67,] 0.07399385 -0.086383055
#> [68,] 0.12807514 -0.144700034
#> [69,] 0.18524393 -0.199993666
#> [70,] 0.24529646 -0.252141039
#> [71,] 0.30803503 -0.301023841
#> [72,] 0.37326686 -0.346526198
#> [73,] 0.44080278 -0.388532804
#> [74,] 0.51045557 -0.426927389
#> [75,] 0.58203806 -0.461591535
#> [76,] 0.65536102 -0.492403869
#> [77,] 0.73023088 -0.519239652
#> [78,] 0.80644736 -0.541970784
#> [79,] 0.88380092 -0.560466255
#> [80,] 0.96207026 -0.574593052
tfourier_shape(nb.h=6, alpha=0.4, nb.pts=500)
#> x y
#> [1,] -0.005594059 0.010939758
#> [2,] -0.012002519 0.021778525
#> [3,] -0.018310818 0.032675891
#> [4,] -0.024511127 0.043635060
#> [5,] -0.030598364 0.054657436
#> [6,] -0.036570131 0.065742797
#> [7,] -0.042426617 0.076889491
#> [8,] -0.048170472 0.088094640
#> [9,] -0.053806657 0.099354331
#> [10,] -0.059342256 0.110663813
#> [11,] -0.064786257 0.122017670
#> [12,] -0.070149316 0.133409984
#> [13,] -0.075443475 0.144834480
#> [14,] -0.080681881 0.156284647
#> [15,] -0.085878467 0.167753854
#> [16,] -0.091047631 0.179235447
#> [17,] -0.096203900 0.190722836
#> [18,] -0.101361599 0.202209584
#> [19,] -0.106534503 0.213689492
#> [20,] -0.111735513 0.225156694
#> [21,] -0.116976331 0.236605757
#> [22,] -0.122267146 0.248031802
#> [23,] -0.127616348 0.259430629
#> [24,] -0.133030255 0.270798867
#> [25,] -0.138512862 0.282134133
#> [26,] -0.144065622 0.293435198
#> [27,] -0.149687243 0.304702168
#> [28,] -0.155373519 0.315936646
#> [29,] -0.161117173 0.327141897
#> [30,] -0.166907727 0.338322984
#> [31,] -0.172731380 0.349486868
#> [32,] -0.178570898 0.360642461
#> [33,] -0.184405503 0.371800624
#> [34,] -0.190210764 0.382974083
#> [35,] -0.195958467 0.394177258
#> [36,] -0.201616489 0.405425992
#> [37,] -0.207148645 0.416737158
#> [38,] -0.212514536 0.428128138
#> [39,] -0.217669393 0.439616161
#> [40,] -0.222563941 0.451217481
#> [41,] -0.227144292 0.462946403
#> [42,] -0.231351920 0.474814136
#> [43,] -0.235123738 0.486827488
#> [44,] -0.238392329 0.498987403
#> [45,] -0.241086393 0.511287372
#> [46,] -0.243131463 0.523711740
#> [47,] -0.244450956 0.536233967
#> [48,] -0.244967607 0.548814917
#> [49,] -0.244605363 0.561401258
#> [50,] -0.243291736 0.573924102
#> [51,] -0.240960657 0.586297998
#> [52,] -0.237555777 0.598420457
#> [53,] -0.233034174 0.610172152
#> [54,] -0.227370324 0.621417952
#> [55,] -0.220560168 0.632008939
#> [56,] -0.212625049 0.641785498
#> [57,] -0.203615228 0.650581540
#> [58,] -0.193612674 0.658229817
#> [59,] -0.182732781 0.664568204
#> [60,] -0.171124714 0.669446730
#> [61,] -0.158970109 0.672735011
#> [62,] -0.146479940 0.674329662
#> [63,] -0.133889513 0.674161185
#> [64,] -0.121451659 0.672199807
#> [65,] -0.109428385 0.668459740
#> [66,] -0.098081401 0.663001427
#> [67,] -0.087662067 0.655931441
#> [68,] -0.078401406 0.647399889
#> [69,] -0.070500879 0.637595354
#> [70,] -0.064124571 0.626737642
#> [71,] -0.059393351 0.615068761
#> [72,] -0.056381430 0.602842741
#> [73,] -0.055115497 0.590314986
#> [74,] -0.055576442 0.577731872
#> [75,] -0.057703435 0.565321267
#> [76,] -0.061399939 0.553284528
#> [77,] -0.066541125 0.541790380
#> [78,] -0.072982050 0.530970874
#> [79,] -0.080565989 0.520919452
#> [80,] -0.089132320 0.511690952
#> [81,] -0.098523487 0.503303270
#> [82,] -0.108590682 0.495740281
#> [83,] -0.119198011 0.488955607
#> [84,] -0.130225050 0.482876822
#> [85,] -0.141567804 0.477409723
#> [86,] -0.153138156 0.472442412
#> [87,] -0.164861966 0.467848995
#> [88,] -0.176675994 0.463492853
#> [89,] -0.188523836 0.459229535
#> [90,] -0.200351083 0.454909413
#> [91,] -0.212099906 0.450380354
#> [92,] -0.223703296 0.445490715
#> [93,] -0.235079238 0.440093015
#> [94,] -0.246125173 0.434048634
#> [95,] -0.256713202 0.427233880
#> [96,] -0.266686595 0.419547616
#> [97,] -0.275858323 0.410920529
#> [98,] -0.284012383 0.401325815
#> [99,] -0.290908767 0.390790773
#> [100,] -0.296292817 0.379408364
#> [101,] -0.299909506 0.367347403
#> [102,] -0.301522738 0.354859621
#> [103,] -0.300939169 0.342281597
#> [104,] -0.298035213 0.330029485
#> [105,] -0.292784999 0.318584727
#> [106,] -0.285286156 0.308469660
#> [107,] -0.275779604 0.300212985
#> [108,] -0.264659276 0.294306587
#> [109,] -0.252468028 0.291156870
#> [110,] -0.239877061 0.291035396
#> [111,] -0.227647983 0.294034877
#> [112,] -0.216579061 0.300037059
#> [113,] -0.207439789 0.308698522
#> [114,] -0.200900383 0.319458791
#> [115,] -0.197464472 0.331572491
#> [116,] -0.197413817 0.344163943
#> [117,] -0.200772966 0.356299154
#> [118,] -0.207299474 0.367067251
#> [119,] -0.216501886 0.375661600
#> [120,] -0.227683777 0.381450603
#> [121,] -0.240008395 0.384029556
#> [122,] -0.252575652 0.383247712
#> [123,] -0.264501706 0.379208346
#> [124,] -0.274991598 0.372243478
#> [125,] -0.283397020 0.362868186
#> [126,] -0.289254024 0.351721763
#> [127,] -0.292298714 0.339503863
#> [128,] -0.292462070 0.326913369
#> [129,] -0.289847533 0.314596250
#> [130,] -0.284696566 0.303106483
#> [131,] -0.277347910 0.292881783
#> [132,] -0.268195928 0.284233751
#> [133,] -0.257652364 0.277350403
#> [134,] -0.246114507 0.272308075
#> [135,] -0.233941306 0.269089317
#> [136,] -0.221437713 0.267603589
#> [137,] -0.208846593 0.267708049
#> [138,] -0.196346927 0.269226466
#> [139,] -0.184056786 0.271965014
#> [140,] -0.172039524 0.275724357
#> [141,] -0.160311884 0.280307988
#> [142,] -0.148852920 0.285527124
#> [143,] -0.137613041 0.291202715
#> [144,] -0.126522702 0.297165232
#> [145,] -0.115500565 0.303252902
#> [146,] -0.104461094 0.309309081
#> [147,] -0.093321658 0.315179361
#> [148,] -0.082009250 0.320708976
#> [149,] -0.070466893 0.325740996
#> [150,] -0.058659736 0.330115728
#> [151,] -0.046580720 0.333671651
#> [152,] -0.034255582 0.336248124
#> [153,] -0.021746850 0.337689938
#> [154,] -0.009156360 0.337853643
#> [155,] 0.003374157 0.336615354
#> [156,] 0.015664911 0.333879553
#> [157,] 0.027502621 0.329588185
#> [158,] 0.038647988 0.323729173
#> [159,] 0.048845923 0.316343420
#> [160,] 0.057838114 0.307529356
#> [161,] 0.065377151 0.297444212
#> [162,] 0.071241204 0.286301496
#> [163,] 0.075248023 0.274364469
#> [164,] 0.077267037 0.261935840
#> [165,] 0.077228389 0.249344346
#> [166,] 0.075128038 0.236929204
#> [167,] 0.071028433 0.225023723
#> [168,] 0.065054695 0.213939425
#> [169,] 0.057386706 0.203951974
#> [170,] 0.048247916 0.195290003
#> [171,] 0.037891924 0.188127555
#> [172,] 0.026588062 0.182580490
#> [173,] 0.014607182 0.178706764
#> [174,] 0.002208711 0.176510145
#> [175,] -0.010370228 0.175946659
#> [176,] -0.022923100 0.176932884
#> [177,] -0.035279458 0.179355201
#> [178,] -0.047307739 0.183079137
#> [179,] -0.058915625 0.187958093
#> [180,] -0.070048439 0.193840921
#> [181,] -0.080686047 0.200578022
#> [182,] -0.090838778 0.208025791
#> [183,] -0.100542813 0.216049440
#> [184,] -0.109855387 0.224524296
#> [185,] -0.118850088 0.233335798
#> [186,] -0.127612385 0.242378441
#> [187,] -0.136235465 0.251553936
#> [188,] -0.144816377 0.260768880
#> [189,] -0.153452416 0.269932178
#> [190,] -0.162237694 0.278952495
#> [191,] -0.171259787 0.287735949
#> [192,] -0.180596441 0.296184270
#> [193,] -0.190312281 0.304193619
#> [194,] -0.200455595 0.311654209
#> [195,] -0.211055244 0.318450875
#> [196,] -0.222117877 0.324464641
#> [197,] -0.233625630 0.329575300
#> [198,] -0.245534537 0.333664943
#> [199,] -0.257773880 0.336622257
#> [200,] -0.270246698 0.338347376
#> [201,] -0.282831589 0.338756940
#> [202,] -0.295385883 0.337788997
#> [203,] -0.307750141 0.335407326
#> [204,] -0.319753807 0.331604798
#> [205,] -0.331221748 0.326405418
#> [206,] -0.341981282 0.319864801
#> [207,] -0.351869251 0.312068951
#> [208,] -0.360738678 0.303131362
#> [209,] -0.368464531 0.293188605
#> [210,] -0.374948248 0.282394688
#> [211,] -0.380120735 0.270914592
#> [212,] -0.383943714 0.258917423
#> [213,] -0.386409430 0.246569652
#> [214,] -0.387538874 0.234028855
#> [215,] -0.387378754 0.221438319
#> [216,] -0.385997572 0.208922747
#> [217,] -0.383481169 0.196585205
#> [218,] -0.379928095 0.184505350
#> [219,] -0.375445157 0.172738851
#> [220,] -0.370143409 0.161317875
#> [221,] -0.364134790 0.150252446
#> [222,] -0.357529535 0.139532473
#> [223,] -0.350434411 0.129130240
#> [224,] -0.342951760 0.119003189
#> [225,] -0.335179277 0.109096841
#> [226,] -0.327210423 0.099347760
#> [227,] -0.319135322 0.089686498
#> [228,] -0.311042005 0.080040491
#> [229,] -0.303017823 0.070336898
#> [230,] -0.295150872 0.060505402
#> [231,] -0.287531269 0.050480989
#> [232,] -0.280252126 0.040206686
#> [233,] -0.273410082 0.029636271
#> [234,] -0.267105278 0.018736882
#> [235,] -0.261440680 0.007491459
#> [236,] -0.256520706 -0.004099101
#> [237,] -0.252449151 -0.016014204
#> [238,] -0.249326457 -0.028212401
#> [239,] -0.247246438 -0.040630965
#> [240,] -0.246292639 -0.053186342
#> [241,] -0.246534544 -0.065775572
#> [242,] -0.248023904 -0.078278733
#> [243,] -0.250791470 -0.090562373
#> [244,] -0.254844415 -0.102483818
#> [245,] -0.260164703 -0.113896169
#> [246,] -0.266708586 -0.124653716
#> [247,] -0.274407355 -0.134617460
#> [248,] -0.283169343 -0.143660401
#> [249,] -0.292883113 -0.151672261
#> [250,] -0.303421619 -0.158563350
#> [251,] -0.314647108 -0.164267352
#> [252,] -0.326416421 -0.168742896
#> [253,] -0.338586381 -0.171973886
#> [254,] -0.351018926 -0.173968639
#> [255,] -0.363585713 -0.174757998
#> [256,] -0.376171965 -0.174392630
#> [257,] -0.388679419 -0.172939760
#> [258,] -0.401028304 -0.170479627
#> [259,] -0.413158362 -0.167101919
#> [260,] -0.425028968 -0.162902402
#> [261,] -0.436618476 -0.157979950
#> [262,] -0.447922927 -0.152434086
#> [263,] -0.458954268 -0.146363111
#> [264,] -0.469738225 -0.139862842
#> [265,] -0.480311960 -0.133025930
#> [266,] -0.490721614 -0.125941699
#> [267,] -0.501019808 -0.118696396
#> [268,] -0.511263166 -0.111373770
#> [269,] -0.521509871 -0.104055829
#> [270,] -0.531817303 -0.096823674
#> [271,] -0.542239743 -0.089758267
#> [272,] -0.552826179 -0.082941040
#> [273,] -0.563618234 -0.076454223
#> [274,] -0.574648244 -0.070380830
#> [275,] -0.585937563 -0.064804229
#> [276,] -0.597495147 -0.059807280
#> [277,] -0.609316496 -0.055471046
#> [278,] -0.621383066 -0.051873114
#> [279,] -0.633662197 -0.049085611
#> [280,] -0.646107650 -0.047173046
#> [281,] -0.658660779 -0.046190093
#> [282,] -0.671252328 -0.046179509
#> [283,] -0.683804837 -0.047170338
#> [284,] -0.696235535 -0.049176568
#> [285,] -0.708459614 -0.052196359
#> [286,] -0.720393693 -0.056211951
#> [287,] -0.731959313 -0.061190271
#> [288,] -0.743086240 -0.067084226
#> [289,] -0.753715424 -0.073834609
#> [290,] -0.763801446 -0.081372473
#> [291,] -0.773314360 -0.089621818
#> [292,] -0.782240872 -0.098502393
#> [293,] -0.790584852 -0.107932410
#> [294,] -0.798367224 -0.117830991
#> [295,] -0.805625322 -0.128120172
#> [296,] -0.812411811 -0.138726339
#> [297,] -0.818793295 -0.149581010
#> [298,] -0.824848708 -0.160620902
#> [299,] -0.830667576 -0.171787280
#> [300,] -0.836348199 -0.183024617
#> [301,] -0.841995743 -0.194278615
#> [302,] -0.847720221 -0.205493675
#> [303,] -0.853634258 -0.216609943
#> [304,] -0.859850526 -0.227560067
#> [305,] -0.866478713 -0.238265877
#> [306,] -0.873621848 -0.248635200
#> [307,] -0.881371881 -0.258559121
#> [308,] -0.889804419 -0.267910032
#> [309,] -0.898972629 -0.276540857
#> [310,] -0.908900440 -0.284285906
#> [311,] -0.919575335 -0.290963770
#> [312,] -0.930941203 -0.296382651
#> [313,] -0.942891939 -0.300348393
#> [314,] -0.955266626 -0.302675269
#> [315,] -0.967847270 -0.303199307
#> [316,] -0.980360110 -0.301793574
#> [317,] -0.992481374 -0.298384443
#> [318,] -1.003848143 -0.292967452
#> [319,] -1.014074489 -0.285621088
#> [320,] -1.022772516 -0.276516608
#> [321,] -1.029577205 -0.265922108
#> [322,] -1.034173310 -0.254199351
#> [323,] -1.036321929 -0.241792471
#> [324,] -1.035884053 -0.229208533
#> [325,] -1.032838338 -0.216990888
#> [326,] -1.027290744 -0.205687286
#> [327,] -1.019474378 -0.195815526
#> [328,] -1.009738998 -0.187829939
#> [329,] -0.998530767 -0.182092102
#> [330,] -0.986364085 -0.178848789
#> [331,] -0.973788274 -0.178219344
#> [332,] -0.961352452 -0.180193571
#> [333,] -0.949572090 -0.184639951
#> [334,] -0.938900346 -0.191322846
#> [335,] -0.929706546 -0.199926408
#> [336,] -0.922263156 -0.210082350
#> [337,] -0.916741493 -0.221398642
#> [338,] -0.913215459 -0.233486418
#> [339,] -0.911671771 -0.245982987
#> [340,] -0.912024733 -0.258569593
#> [341,] -0.914133427 -0.270983321
#> [342,] -0.917819333 -0.283023309
#> [343,] -0.922882738 -0.294551932
#> [344,] -0.929116733 -0.305491975
#> [345,] -0.936318068 -0.315820963
#> [346,] -0.944294597 -0.325563766
#> [347,] -0.952869367 -0.334784425
#> [348,] -0.961881672 -0.343577922
#> [349,] -0.971185548 -0.352062325
#> [350,] -0.980646262 -0.360371484
#> [351,] -0.990135351 -0.368648223
#> [352,] -0.999524817 -0.377037810
#> [353,] -1.008681034 -0.385681358
#> [354,] -1.017458988 -0.394708802
#> [355,] -1.025697491 -0.404231107
#> [356,] -1.033216078 -0.414331506
#> [357,] -1.039814343 -0.425055784
#> [358,] -1.045274491 -0.436401885
#> [359,] -1.049367831 -0.448309520
#> [360,] -1.051865718 -0.460650825
#> [361,] -1.052555144 -0.473223490
#> [362,] -1.051258626 -0.485748116
#> [363,] -1.047857363 -0.497871591
#> [364,] -1.042315817 -0.509178160
#> [365,] -1.034705091 -0.519209315
#> [366,] -1.025221822 -0.527492722
#> [367,] -1.014199004 -0.533579158
#> [368,] -1.002105353 -0.537084987
#> [369,] -0.989530653 -0.537736248
#> [370,] -0.977155978 -0.535409312
#> [371,] -0.965709666 -0.530162486
#> [372,] -0.955912153 -0.522253253
#> [373,] -0.948414862 -0.512137036
#> [374,] -0.943739919 -0.500445495
#> [375,] -0.942228108 -0.487945029
#> [376,] -0.944001938 -0.475479045
#> [377,] -0.948949058 -0.463900046
#> [378,] -0.956728637 -0.453999270
#> [379,] -0.966800220 -0.446442124
#> [380,] -0.978471507 -0.441716842
#> [381,] -0.990959065 -0.440101880
#> [382,] -1.003454487 -0.441654834
#> [383,] -1.015188276 -0.446222701
#> [384,] -1.025484670 -0.453470563
#> [385,] -1.033802403 -0.462923740
#> [386,] -1.039758772 -0.474017382
#> [387,] -1.043136741 -0.486147367
#> [388,] -1.043876897 -0.498717148
#> [389,] -1.042057535 -0.511176568
#> [390,] -1.037866923 -0.523050320
#> [391,] -1.031571875 -0.533955347
#> [392,] -1.023486295 -0.543607840
#> [393,] -1.013942553 -0.551821500
#> [394,] -1.003267560 -0.558499206
#> [395,] -0.991764510 -0.563620442
#> [396,] -0.979700403 -0.567226623
#> [397,] -0.967298905 -0.569406091
#> [398,] -0.954737724 -0.570280138
#> [399,] -0.942149493 -0.569990874
#> [400,] -0.929625174 -0.568691398
#> [401,] -0.917219060 -0.566538362
#> [402,] -0.904954653 -0.563686776
#> [403,] -0.892830825 -0.560286770
#> [404,] -0.880827898 -0.556481911
#> [405,] -0.868913364 -0.552408692
#> [406,] -0.857047148 -0.548196787
#> [407,] -0.845186320 -0.543969733
#> [408,] -0.833289270 -0.539845729
#> [409,] -0.821319332 -0.535938324
#> [410,] -0.809247880 -0.532356804
#> [411,] -0.797056870 -0.529206170
#> [412,] -0.784740811 -0.526586642
#> [413,] -0.772308138 -0.524592686
#> [414,] -0.759781921 -0.523311625
#> [415,] -0.747199894 -0.522821922
#> [416,] -0.734613759 -0.523191286
#> [417,] -0.722087789 -0.524474759
#> [418,] -0.709696759 -0.526712970
#> [419,] -0.697523292 -0.529930722
#> [420,] -0.685654755 -0.534136084
#> [421,] -0.674179857 -0.539320092
#> [422,] -0.663185139 -0.545457143
#> [423,] -0.652751557 -0.552506086
#> [424,] -0.642951349 -0.560411979
#> [425,] -0.633845338 -0.569108403
#> [426,] -0.625480821 -0.578520209
#> [427,] -0.617890106 -0.588566515
#> [428,] -0.611089736 -0.599163788
#> [429,] -0.605080370 -0.610228811
#> [430,] -0.599847261 -0.621681400
#> [431,] -0.595361220 -0.633446716
#> [432,] -0.591579950 -0.645457096
#> [433,] -0.588449615 -0.657653334
#> [434,] -0.585906520 -0.669985402
#> [435,] -0.583878781 -0.682412610
#> [436,] -0.582287906 -0.694903260
#> [437,] -0.581050227 -0.707433838
#> [438,] -0.580078136 -0.719987812
#> [439,] -0.579281142 -0.732554117
#> [440,] -0.578566754 -0.745125389
#> [441,] -0.577841248 -0.757696024
#> [442,] -0.577010368 -0.770260134
#> [443,] -0.575980028 -0.782809462
#> [444,] -0.574657102 -0.795331326
#> [445,] -0.572950346 -0.807806670
#> [446,] -0.570771533 -0.820208283
#> [447,] -0.568036822 -0.832499279
#> [448,] -0.564668394 -0.844631918
#> [449,] -0.560596335 -0.856546848
#> [450,] -0.555760727 -0.868172858
#> [451,] -0.550113882 -0.879427207
#> [452,] -0.543622606 -0.890216579
#> [453,] -0.536270363 -0.900438700
#> [454,] -0.528059208 -0.909984597
#> [455,] -0.519011300 -0.918741457
#> [456,] -0.509169875 -0.926595984
#> [457,] -0.498599527 -0.933438130
#> [458,] -0.487385693 -0.939165008
#> [459,] -0.475633300 -0.943684798
#> [460,] -0.463464569 -0.946920415
#> [461,] -0.451016021 -0.948812735
#> [462,] -0.438434818 -0.949323172
#> [463,] -0.425874596 -0.948435449
#> [464,] -0.413491002 -0.946156450
#> [465,] -0.401437158 -0.942516111
#> [466,] -0.389859289 -0.937566347
#> [467,] -0.378892733 -0.931379112
#> [468,] -0.368658527 -0.924043701
#> [469,] -0.359260701 -0.915663481
#> [470,] -0.350784378 -0.906352242
#> [471,] -0.343294718 -0.896230373
#> [472,] -0.336836675 -0.885421076
#> [473,] -0.331435507 -0.874046780
#> [474,] -0.327097933 -0.862225923
#> [475,] -0.323813805 -0.850070194
#> [476,] -0.321558156 -0.837682326
#> [477,] -0.320293469 -0.825154446
#> [478,] -0.319972045 -0.812566995
#> [479,] -0.320538342 -0.799988182
#> [480,] -0.321931192 -0.787473903
#> [481,] -0.324085820 -0.775068065
#> [482,] -0.326935622 -0.762803244
#> [483,] -0.330413666 -0.750701573
#> [484,] -0.334453920 -0.738775820
#> [485,] -0.338992211 -0.727030560
#> [486,] -0.343966933 -0.715463392
#> [487,] -0.349319545 -0.704066166
#> [488,] -0.354994883 -0.692826158
#> [489,] -0.360941322 -0.681727191
#> [490,] -0.367110833 -0.670750654
#> [491,] -0.373458957 -0.659876439
#> [492,] -0.379944726 -0.649083756
#> [493,] -0.386530564 -0.638351842
#> [494,] -0.393182170 -0.627660567
#> [495,] -0.399868416 -0.616990921
#> [496,] -0.406561251 -0.606325408
#> [497,] -0.413235627 -0.595648333
#> [498,] -0.419869444 -0.584946010
#> [499,] -0.426443505 -0.574206879
#> [500,] -0.432941496 -0.563421549
panel(Out(a2l(replicate(100,
coo_force2close(tfourier_shape(nb.h=6, alpha=2, nb.pts=200, plot=FALSE)))))) # biological shapes
