determine_region: Determine confidence region for position
In triangulation: Determine Position of Observer
Description
Usage
Arguments
Value
Examples
View source: R/determine_region.R
Description
This function is similar to determine_position()except for the fact that it is assumed that the angles are subject to measurement error.
Hence a confidence region (error 'ellipse') is returned instead of an exact position.
Usage
1
2
3
4
Arguments
A
A point defined by a vector containing an x- and an y-coordinate
B
A point defined by a vector containing an x- and an y-coordinate
C
A point defined by a vector containing an x- and an y-coordinate
observer_angle_AB
An angle (numeric) expressed in radians
observer_angle_AC
An angle (numeric) expressed in radians
angle_error
A numeric indicating the measurement error in radians
number_of_points
A numeric indicating the number of error points tested
output_plot
Boolean variable indicating whether a plot should be created
lines_in_plot
Boolean variable indicating whether lines should be drawn in the plot
coordinates_in_plot
Boolean variable indicating whether the coordinates should be printet in the plot
decimals_in_plot
Integer indicating the number of decimals used
Value
Coordinates indicating the outer border of the confidence region. Note that several different regions may exist.
Examples
1
2
3
4
5
Example output
[,1] [,2] [,3] [,4] [,5] [,6] [,7]
x-coordinate 7.155201 7.106347 7.069011 7.03771 7.010309 6.985710 6.963259
y-coordinate 2.884320 2.896283 2.902917 2.90677 2.908835 2.909622 2.909437
[,8] [,9] [,10] [,11] [,12] [,13] [,14]
x-coordinate 6.942528 6.923219 6.905115 6.888051 6.871899 6.856558 6.841944
y-coordinate 2.908479 2.906889 2.904768 2.902193 2.899224 2.895909 2.892286
[,15] [,16] [,17] [,18] [,19] [,20] [,21]
x-coordinate 6.82799 6.814638 6.801841 6.789558 6.777752 6.766394 6.755456
y-coordinate 2.88839 2.884245 2.879875 2.875300 2.870536 2.865598 2.860499
[,22] [,23] [,24] [,25] [,26] [,27] [,28]
x-coordinate 6.744916 6.734752 6.724946 6.715481 6.706344 6.697520 6.688998
y-coordinate 2.855250 2.849861 2.844341 2.838699 2.832941 2.827073 2.821102
[,29] [,30] [,31] [,32] [,33] [,34] [,35]
x-coordinate 6.680768 6.672820 6.665145 6.657736 6.650586 6.643688 6.637036
y-coordinate 2.815033 2.808871 2.802621 2.796285 2.789868 2.783373 2.776804
[,36] [,37] [,38] [,39] [,40] [,41] [,42]
x-coordinate 6.630626 6.624454 6.618514 6.612804 6.607320 6.60206 6.597020
y-coordinate 2.770163 2.763452 2.756674 2.749832 2.742927 2.73596 2.728934
[,43] [,44] [,45] [,46] [,47] [,48] [,49]
x-coordinate 6.592200 6.587596 6.583209 6.579037 6.575078 6.571333 6.567802
y-coordinate 2.721851 2.714710 2.707515 2.700265 2.692962 2.685607 2.678199
[,50] [,51] [,52] [,53] [,54] [,55] [,56]
x-coordinate 6.564484 6.561380 6.558491 6.555818 6.553361 6.551124 6.549106
y-coordinate 2.670741 2.663232 2.655674 2.648065 2.640407 2.632699 2.624942
[,57] [,58] [,59] [,60] [,61] [,62] [,63]
x-coordinate 6.547312 6.545743 6.544402 6.543292 6.542418 6.541782 6.541391
y-coordinate 2.617135 2.609278 2.601371 2.593413 2.585404 2.577344 2.569230
[,64] [,65] [,66] [,67] [,68] [,69] [,70]
x-coordinate 6.541248 6.541358 6.541729 6.542366 6.543276 6.544468 6.545949
y-coordinate 2.561062 2.552840 2.544562 2.536225 2.527829 2.519372 2.510852
[,71] [,72] [,73] [,74] [,75] [,76] [,77]
x-coordinate 6.547730 6.549820 6.552231 6.554975 6.558065 6.561518 6.565351
y-coordinate 2.502266 2.493611 2.484885 2.476084 2.467205 2.458242 2.449193
[,78] [,79] [,80] [,81] [,82] [,83] [,84]
x-coordinate 6.569580 6.574229 6.579319 6.584879 6.590937 6.597528 6.604692
y-coordinate 2.440051 2.430810 2.421464 2.412005 2.402424 2.392710 2.382853
[,85] [,86] [,87] [,88] [,89] [,90] [,91]
x-coordinate 6.612473 6.620926 6.630112 6.640107 6.651000 6.662904 6.675958
y-coordinate 2.372839 2.362650 2.352269 2.341672 2.330831 2.319711 2.308269
[,92] [,93] [,94] [,95] [,96] [,97] [,98]
x-coordinate 6.690340 6.706286 6.724118 6.744297 6.767530 6.794997 6.828988
y-coordinate 2.296447 2.284171 2.271338 2.257798 2.243323 2.227526 2.209658
[,99] [,100] [,101] [,102] [,103] [,104] [,105]
x-coordinate 6.875383 6.995525 7.272933 7.387984 7.434089 7.468610 7.497030
y-coordinate 2.187776 2.141462 2.840459 2.776777 2.745131 2.718951 2.695691
[,106] [,107] [,108] [,109] [,110] [,111] [,112]
x-coordinate 7.521484 7.543070 7.562444 7.580033 7.596136 7.610970 7.624702
y-coordinate 2.674356 2.654435 2.635623 2.617718 2.600582 2.584111 2.568228
[,113] [,114] [,115] [,116] [,117] [,118] [,119]
x-coordinate 7.637457 7.649340 7.660433 7.670805 7.680512 7.689604 7.698122
y-coordinate 2.552872 2.537995 2.523558 2.509527 2.495874 2.482578 2.469617
[,120] [,121] [,122] [,123] [,124] [,125] [,126]
x-coordinate 7.706100 7.713571 7.720562 7.727095 7.733193 7.738874 7.744154
y-coordinate 2.456973 2.444633 2.432582 2.420808 2.409300 2.398050 2.387048
[,127] [,128] [,129] [,130] [,131] [,132] [,133]
x-coordinate 7.749049 7.753572 7.757734 7.761547 7.765021 7.768164 7.770984
y-coordinate 2.376287 2.365759 2.355458 2.345378 2.335514 2.325859 2.316411
[,134] [,135] [,136] [,137] [,138] [,139] [,140]
x-coordinate 7.773488 7.775684 7.777576 7.779170 7.780471 7.781483 7.782210
y-coordinate 2.307164 2.298114 2.289258 2.280592 2.272113 2.263817 2.255703
[,141] [,142] [,143] [,144] [,145] [,146] [,147]
x-coordinate 7.782656 7.782822 7.782713 7.782329 7.781673 7.780747 7.779551
y-coordinate 2.247766 2.240005 2.232418 2.225001 2.217754 2.210674 2.203759
[,148] [,149] [,150] [,151] [,152] [,153] [,154]
x-coordinate 7.778087 7.776356 7.774356 7.772090 7.769555 7.766752 7.763680
y-coordinate 2.197007 2.190417 2.183988 2.177718 2.171606 2.165651 2.159851
[,155] [,156] [,157] [,158] [,159] [,160] [,161]
x-coordinate 7.760337 7.756723 7.752835 7.748671 7.744229 7.739506 7.734499
y-coordinate 2.154206 2.148714 2.143376 2.138190 2.133156 2.128274 2.123542
[,162] [,163] [,164] [,165] [,166] [,167] [,168]
x-coordinate 7.729204 7.723618 7.717735 7.711552 7.705063 7.698262 7.691143
y-coordinate 2.118962 2.114533 2.110254 2.106127 2.102152 2.098329 2.094658
[,169] [,170] [,171] [,172] [,173] [,174] [,175]
x-coordinate 7.683699 7.675921 7.667802 7.659332 7.650502 7.641299 7.631712
y-coordinate 2.091141 2.087780 2.084574 2.081526 2.078638 2.075912 2.073351
[,176] [,177] [,178] [,179] [,180] [,181] [,182]
x-coordinate 7.621726 7.611328 7.600499 7.589222 7.577475 7.565236 7.552477
y-coordinate 2.070957 2.068733 2.066684 2.064815 2.063130 2.061635 2.060338
[,183] [,184] [,185] [,186] [,187] [,188] [,189]
x-coordinate 7.539168 7.525276 7.510761 7.495578 7.479674 7.462986 7.445439
y-coordinate 2.059246 2.058369 2.057717 2.057304 2.057145 2.057259 2.057667
[,190] [,191] [,192] [,193] [,194] [,195] [,196]
x-coordinate 7.426943 7.407388 7.386632 7.364499 7.340752 7.315070 7.286991
y-coordinate 2.058397 2.059483 2.060967 2.062907 2.065376 2.068476 2.072356
[,197] [,198] [,199] [,200]
x-coordinate 7.255809 7.220343 7.178304 7.123813
y-coordinate 2.077244 2.083524 2.091947 2.104455
[,1] [,2] [,3] [,4] [,5] [,6]
x-coordinate 5.850080 1.1092739 5.816477 1.023822 5.790651 0.9661971
y-coordinate 1.646017 -0.7137807 1.642283 -0.664085 1.637652 -0.6290565
[,7] [,8] [,9] [,10] [,11] [,12]
x-coordinate 5.768883 0.9231828 5.749729 0.8896301 5.732447 0.8628860
y-coordinate 1.632554 -0.6019497 1.627156 -0.5800905 1.621544 -0.5620759
[,13] [,14] [,15] [,16] [,17] [,18]
x-coordinate 5.716594 0.8413676 5.701882 0.8240397 5.688112 0.8101810
y-coordinate 1.615770 -0.5470533 1.609867 -0.5344544 1.603860 -0.5238753
[,19] [,20] [,21] [,22] [,23] [,24]
x-coordinate 5.675136 0.7992643 5.662845 0.7908909 5.651154 0.7847503
y-coordinate 1.597764 -0.5150154 1.591595 -0.5076421 1.585361 -0.5015708
[,25] [,26] [,27] [,28] [,29] [,30]
x-coordinate 5.639993 0.7805948 5.629308 0.7782233 5.619055 0.7774699
y-coordinate 1.579071 -0.4966513 1.572732 -0.4927589 1.566349 -0.4897885
[,31] [,32] [,33] [,34] [,35] [,36]
x-coordinate 5.609194 0.7781955 5.599694 0.7802824 5.590529 0.7836299
y-coordinate 1.559927 -0.4876505 1.553469 -0.4862671 1.546980 -0.4855705
[,37] [,38] [,39] [,40] [,41] [,42]
x-coordinate 5.581674 0.7881508 5.573110 0.7937693 5.564819 0.8004190
y-coordinate 1.540462 -0.4855010 1.533918 -0.4860054 1.527349 -0.4870361
[,43] [,44] [,45] [,46] [,47] [,48]
x-coordinate 5.556786 0.8080409 5.548998 0.8165831 5.541442 0.8259988
y-coordinate 1.520759 -0.4885502 1.514148 -0.4905090 1.507518 -0.4928771
[,49] [,50] [,51] [,52] [,53] [,54]
x-coordinate 5.534108 0.8362461 5.526986 0.8472875 5.520069 0.8590886
y-coordinate 1.500871 -0.4956223 1.494207 -0.4987149 1.487529 -0.5021274
[,55] [,56] [,57] [,58] [,59] [,60]
x-coordinate 5.513349 0.8716186 5.506818 0.8848491 5.500472 0.8987543
y-coordinate 1.480837 -0.5058348 1.474132 -0.5098134 1.467416 -0.5140415
[,61] [,62] [,63] [,64] [,65] [,66]
x-coordinate 5.494305 0.9133104 5.488312 0.9284957 5.482489 0.9442900
y-coordinate 1.460688 -0.5184987 1.453949 -0.5231661 1.447201 -0.5280258
[,67] [,68] [,69] [,70] [,71] [,72]
x-coordinate 5.476832 0.9606748 5.471338 0.9776330 5.466004 0.9951487
y-coordinate 1.440443 -0.5330611 1.433677 -0.5382562 1.426903 -0.5435964
[,73] [,74] [,75] [,76] [,77] [,78]
x-coordinate 5.460827 1.0132071 5.455804 1.031795 5.450935 1.0508984
y-coordinate 1.420122 -0.5490677 1.413333 -0.554657 1.406538 -0.5603517
[,79] [,80] [,81] [,82] [,83] [,84]
x-coordinate 5.446217 1.0705067 5.441648 1.0906086 5.437229 1.111194
y-coordinate 1.399737 -0.5661401 1.392930 -0.5720111 1.386117 -0.577954
[,85] [,86] [,87] [,88] [,89] [,90]
x-coordinate 5.432957 1.1322529 5.428832 1.1537771 5.424854 1.1757582
y-coordinate 1.379299 -0.5839589 1.372476 -0.5900161 1.365649 -0.5961166
[,91] [,92] [,93] [,94] [,95] [,96]
x-coordinate 5.421023 1.1981888 5.417338 1.2210619 5.413800 1.2443712
y-coordinate 1.358818 -0.6022519 1.351982 -0.6084139 1.345143 -0.6145946
[,97] [,98] [,99] [,100] [,101] [,102]
x-coordinate 5.410409 1.2681109 5.407165 1.2922758 5.404071 1.316861
y-coordinate 1.338300 -0.6207868 1.331453 -0.6269835 1.324604 -0.633178
[,103] [,104] [,105] [,106] [,107] [,108]
x-coordinate 5.401126 1.341863 5.398332 1.3672766 5.395690 1.3931001
y-coordinate 1.317751 -0.639364 1.310895 -0.6455355 1.304036 -0.6516868
[,109] [,110] [,111] [,112] [,113] [,114]
x-coordinate 5.393203 1.4193304 5.390871 1.4459654 5.388698 1.4730036
y-coordinate 1.297175 -0.6578125 1.290311 -0.6639076 1.283445 -0.6699671
[,115] [,116] [,117] [,118] [,119] [,120]
x-coordinate 5.386685 1.5004439 5.384836 1.5282861 5.383153 1.5565301
y-coordinate 1.276576 -0.6759865 1.269705 -0.6819616 1.262831 -0.6878882
[,121] [,122] [,123] [,124] [,125] [,126]
x-coordinate 5.381639 1.5851770 5.380298 1.6142281 5.379134 1.6436856
y-coordinate 1.255955 -0.6937626 1.249077 -0.6995812 1.242196 -0.7053407
[,127] [,128] [,129] [,130] [,131] [,132]
x-coordinate 5.378151 1.673552 5.377354 1.7038323 5.376747 1.7345297
y-coordinate 1.235313 -0.711038 1.228428 -0.7166703 1.221540 -0.7222349
[,133] [,134] [,135] [,136] [,137] [,138]
x-coordinate 5.376336 1.7656501 5.376127 1.797200 5.376125 1.8291867
y-coordinate 1.214649 -0.7277295 1.207756 -0.733152 1.200861 -0.7385004
[,139] [,140] [,141] [,142] [,143] [,144]
x-coordinate 5.376339 1.8616193 5.376776 1.8945076 5.377443 1.9278632
y-coordinate 1.193962 -0.7437731 1.187060 -0.7489686 1.180155 -0.7540859
[,145] [,146] [,147] [,148] [,149] [,150]
x-coordinate 5.378350 1.9616991 5.379507 1.9960303 5.380925 2.0308737
y-coordinate 1.173246 -0.7591241 1.166334 -0.7640826 1.159417 -0.7689611
[,151] [,152] [,153] [,154] [,155] [,156]
x-coordinate 5.382616 2.0662487 5.384593 2.1021772 5.386871 2.1386841
y-coordinate 1.152495 -0.7737596 1.145569 -0.7784787 1.138637 -0.7831191
[,157] [,158] [,159] [,160] [,161] [,162]
x-coordinate 5.389466 2.1757979 5.392397 2.2135511 5.395684 2.2519811
y-coordinate 1.131699 -0.7876819 1.124754 -0.7921691 1.117801 -0.7965828
[,163] [,164] [,165] [,166] [,167] [,168]
x-coordinate 5.399352 2.291131 5.403425 2.3310498 5.407935 2.3717962
y-coordinate 1.110840 -0.800926 1.103869 -0.8052025 1.096888 -0.8094167
[,169] [,170] [,171] [,172] [,173] [,174]
x-coordinate 5.412918 2.4134377 5.418413 2.4560544 5.424470 2.4997417
y-coordinate 1.089894 -0.8135744 1.082886 -0.8176826 1.075862 -0.8217499
[,175] [,176] [,177] [,178] [,179] [,180]
x-coordinate 5.431146 2.5446148 5.438510 2.5908140 5.446647 2.6385137
y-coordinate 1.068820 -0.8257872 1.061756 -0.8298079 1.054666 -0.8338292
[,181] [,182] [,183] [,184] [,185] [,186]
x-coordinate 5.455664 2.6879338 5.465698 2.739359 5.476927 2.7931655
y-coordinate 1.047546 -0.8378732 1.040389 -0.841969 1.033186 -0.8461557
[,187] [,188] [,189] [,190] [,191] [,192]
x-coordinate 5.489598 2.8498745 5.504062 2.9102349 5.520853 2.9753983
y-coordinate 1.025927 -0.8504885 1.018593 -0.8550477 1.011158 -0.8599591
[,193] [,194] [,195] [,196] [,197] [,198]
x-coordinate 5.540868 3.0473042 5.5658419 3.1297344 5.6002237 3.2324486
y-coordinate 1.003578 -0.8654374 0.9957635 -0.8719084 0.9874862 -0.8804902
[,199] [,200] [,201] [,202] [,203] [,204]
x-coordinate 5.6903559 3.4580469 5.930444 1.3604010 6.008608 1.6669053
y-coordinate 0.9763107 -0.9032552 1.644399 -0.8468364 1.628025 -0.9859063
[,205] [,206] [,207] [,208] [,209] [,210] [,211]
x-coordinate 6.039955 1.807252 6.063468 1.919301 6.082865 2.016282 6.099592
y-coordinate 1.617038 -1.041525 1.606979 -1.082388 1.597421 -1.115244 1.588196
[,212] [,213] [,214] [,215] [,216] [,217] [,218]
x-coordinate 2.103355 6.114392 2.183185 6.127705 2.257366 6.139821 2.326945
y-coordinate -1.142769 1.579219 -1.166367 1.570436 -1.186893 1.561815 -1.204917
[,219] [,220] [,221] [,222] [,223] [,224] [,225]
x-coordinate 6.150940 2.392652 6.161208 2.455025 6.170735 2.514473 6.179608
y-coordinate 1.553332 -1.220843 1.544969 -1.234973 1.536712 -1.247541 1.528552
[,226] [,227] [,228] [,229] [,230] [,231] [,232]
x-coordinate 2.571316 6.187893 2.625811 6.195647 2.678168 6.202915 2.728562
y-coordinate -1.258731 1.520480 -1.268694 1.512490 -1.277555 1.504575 -1.285419
[,233] [,234] [,235] [,236] [,237] [,238] [,239]
x-coordinate 6.209734 2.777139 6.216137 2.824026 6.222151 2.869332 6.227799
y-coordinate 1.496732 -1.292376 1.488955 -1.298503 1.481241 -1.303867 1.473588
[,240] [,241] [,242] [,243] [,244] [,245] [,246]
x-coordinate 2.913150 6.233101 2.955565 6.238076 2.996649 6.242738 3.036469
y-coordinate -1.308527 1.465993 -1.312537 1.458452 -1.315943 1.450965 -1.318786
[,247] [,248] [,249] [,250] [,251] [,252] [,253]
x-coordinate 6.247101 3.075083 6.251177 3.112543 6.254977 3.148899 6.258510
y-coordinate 1.443529 -1.321106 1.436142 -1.322935 1.428803 -1.324306 1.421511
[,254] [,255] [,256] [,257] [,258] [,259] [,260]
x-coordinate 3.184192 6.261785 3.218464 6.264809 3.25175 6.267590 3.284084
y-coordinate -1.325247 1.414263 -1.325783 1.407060 -1.32594 1.399899 -1.325739
[,261] [,262] [,263] [,264] [,265] [,266] [,267]
x-coordinate 6.270133 3.315497 6.272443 3.346017 6.274526 3.375670 6.276386
y-coordinate 1.392780 -1.325200 1.385701 -1.324343 1.378662 -1.323185 1.371662
[,268] [,269] [,270] [,271] [,272] [,273] [,274]
x-coordinate 3.404481 6.278026 3.432473 6.279451 3.459667 6.280664 3.486083
y-coordinate -1.321743 1.364701 -1.320032 1.357776 -1.318066 1.350888 -1.315858
[,275] [,276] [,277] [,278] [,279] [,280] [,281]
x-coordinate 6.281667 3.511738 6.282462 3.536651 6.283052 3.560836 6.283439
y-coordinate 1.344036 -1.313421 1.337219 -1.310767 1.330437 -1.307906 1.323689
[,282] [,283] [,284] [,285] [,286] [,287] [,288]
x-coordinate 3.584310 6.283624 3.607085 6.283608 3.629176 6.283393 3.650594
y-coordinate -1.304848 1.316974 -1.301605 1.310292 -1.298184 1.303642 -1.294594
[,289] [,290] [,291] [,292] [,293] [,294] [,295]
x-coordinate 6.282979 3.671351 6.282367 3.691457 6.281557 3.710921 6.280550
y-coordinate 1.297024 -1.290843 1.290438 -1.286939 1.283882 -1.282889 1.277357
[,296] [,297] [,298] [,299] [,300] [,301] [,302]
x-coordinate 3.729754 6.279345 3.747964 6.277942 3.765557 6.276340 3.782542
y-coordinate -1.278700 1.270862 -1.274378 1.264396 -1.269929 1.257959 -1.265359
[,303] [,304] [,305] [,306] [,307] [,308] [,309]
x-coordinate 6.274540 3.798925 6.272540 3.814711 6.270338 3.829906 6.267934
y-coordinate 1.251551 -1.260673 1.245172 -1.255877 1.238821 -1.250974 1.232497
[,310] [,311] [,312] [,313] [,314] [,315] [,316]
x-coordinate 3.844514 6.265327 3.858540 6.262513 3.871985 6.259492 3.884854
y-coordinate -1.245970 1.226200 -1.240869 1.219931 -1.235675 1.213688 -1.230391
[,317] [,318] [,319] [,320] [,321] [,322] [,323]
x-coordinate 6.256261 3.897149 6.252818 3.908870 6.249160 3.920018 6.245283
y-coordinate 1.207471 -1.225021 1.201281 -1.219568 1.195116 -1.214036 1.188977
[,324] [,325] [,326] [,327] [,328] [,329] [,330]
x-coordinate 3.930593 6.241185 3.940595 6.236861 3.950023 6.232309 3.958873
y-coordinate -1.208427 1.182863 -1.202743 1.176774 -1.196989 1.170709 -1.191164
[,331] [,332] [,333] [,334] [,335] [,336] [,337]
x-coordinate 6.227523 3.967143 6.222499 3.974828 6.217231 3.981924 6.211713
y-coordinate 1.164670 -1.185273 1.158655 -1.179316 1.152663 -1.173296 1.146697
[,338] [,339] [,340] [,341] [,342] [,343] [,344]
x-coordinate 3.988425 6.205941 3.994324 6.199906 3.999611 6.193602 4.004277
y-coordinate -1.167213 1.140753 -1.161069 1.134834 -1.154865 1.128939 -1.148603
[,345] [,346] [,347] [,348] [,349] [,350] [,351]
x-coordinate 6.187020 4.008311 6.180152 4.011701 6.172987 4.014430 6.165516
y-coordinate 1.123067 -1.142282 1.117219 -1.135903 1.111395 -1.129467 1.105594
[,352] [,353] [,354] [,355] [,356] [,357] [,358]
x-coordinate 4.016483 6.157726 4.01784 6.149604 4.018479 6.141135 4.018375
y-coordinate -1.122972 1.099818 -1.11642 1.094065 -1.109809 1.088337 -1.103138
[,359] [,360] [,361] [,362] [,363] [,364] [,365]
x-coordinate 6.132304 4.017500 6.123092 4.015821 6.113478 4.013301 6.103441
y-coordinate 1.082634 -1.096405 1.076955 -1.089610 1.071302 -1.082748 1.065675
[,366] [,367] [,368] [,369] [,370] [,371] [,372]
x-coordinate 4.009897 6.092952 4.005558 6.081982 4.000227 6.070496 3.993836
y-coordinate -1.075819 1.060076 -1.068816 1.054504 -1.061737 1.048961 -1.054575
[,373] [,374] [,375] [,376] [,377] [,378] [,379]
x-coordinate 6.058452 3.986305 6.045804 3.977538 6.032494 3.967419 6.018452
y-coordinate 1.043449 -1.047324 1.037969 -1.039974 1.032523 -1.032516 1.027115
[,380] [,381] [,382] [,383] [,384] [,385] [,386]
x-coordinate 3.955809 6.003594 3.942532 5.987813 3.927368 5.970973 3.910034
y-coordinate -1.024935 1.021748 -1.017215 1.016426 -1.009335 1.011156 -1.001265
[,387] [,388] [,389] [,390] [,391] [,392]
x-coordinate 5.952894 3.8901503 5.933332 3.867198 5.9119359 3.8404269
y-coordinate 1.005946 -0.9929655 1.000807 -0.984383 0.9957558 -0.9754371
[,393] [,394] [,395] [,396] [,397] [,398]
x-coordinate 5.8881700 3.8086856 5.8611388 3.7700342 5.8291075 3.7206906
y-coordinate 0.9908192 -0.9660024 0.9860416 -0.9558645 0.9815107 -0.9445981
[,399] [,400]
x-coordinate 5.7876274 3.6508949
y-coordinate 0.9774555 -0.9310857
triangulation documentation built on May 2, 2019, 5:34 a.m.
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Description Usage Arguments Value Examples
View source: R/determine_region.R
Description
This function is similar to determine_position()except for the fact that it is assumed that the angles are subject to measurement error.
Hence a confidence region (error 'ellipse') is returned instead of an exact position.
Usage
1 2 3 4 |
Arguments
A |
A point defined by a vector containing an x- and an y-coordinate |
B |
A point defined by a vector containing an x- and an y-coordinate |
C |
A point defined by a vector containing an x- and an y-coordinate |
observer_angle_AB |
An angle (numeric) expressed in radians |
observer_angle_AC |
An angle (numeric) expressed in radians |
angle_error |
A numeric indicating the measurement error in radians |
number_of_points |
A numeric indicating the number of error points tested |
output_plot |
Boolean variable indicating whether a plot should be created |
lines_in_plot |
Boolean variable indicating whether lines should be drawn in the plot |
coordinates_in_plot |
Boolean variable indicating whether the coordinates should be printet in the plot |
decimals_in_plot |
Integer indicating the number of decimals used |
Value
Coordinates indicating the outer border of the confidence region. Note that several different regions may exist.
Examples
1 2 3 4 5 |
Example output
[,1] [,2] [,3] [,4] [,5] [,6] [,7]
x-coordinate 7.155201 7.106347 7.069011 7.03771 7.010309 6.985710 6.963259
y-coordinate 2.884320 2.896283 2.902917 2.90677 2.908835 2.909622 2.909437
[,8] [,9] [,10] [,11] [,12] [,13] [,14]
x-coordinate 6.942528 6.923219 6.905115 6.888051 6.871899 6.856558 6.841944
y-coordinate 2.908479 2.906889 2.904768 2.902193 2.899224 2.895909 2.892286
[,15] [,16] [,17] [,18] [,19] [,20] [,21]
x-coordinate 6.82799 6.814638 6.801841 6.789558 6.777752 6.766394 6.755456
y-coordinate 2.88839 2.884245 2.879875 2.875300 2.870536 2.865598 2.860499
[,22] [,23] [,24] [,25] [,26] [,27] [,28]
x-coordinate 6.744916 6.734752 6.724946 6.715481 6.706344 6.697520 6.688998
y-coordinate 2.855250 2.849861 2.844341 2.838699 2.832941 2.827073 2.821102
[,29] [,30] [,31] [,32] [,33] [,34] [,35]
x-coordinate 6.680768 6.672820 6.665145 6.657736 6.650586 6.643688 6.637036
y-coordinate 2.815033 2.808871 2.802621 2.796285 2.789868 2.783373 2.776804
[,36] [,37] [,38] [,39] [,40] [,41] [,42]
x-coordinate 6.630626 6.624454 6.618514 6.612804 6.607320 6.60206 6.597020
y-coordinate 2.770163 2.763452 2.756674 2.749832 2.742927 2.73596 2.728934
[,43] [,44] [,45] [,46] [,47] [,48] [,49]
x-coordinate 6.592200 6.587596 6.583209 6.579037 6.575078 6.571333 6.567802
y-coordinate 2.721851 2.714710 2.707515 2.700265 2.692962 2.685607 2.678199
[,50] [,51] [,52] [,53] [,54] [,55] [,56]
x-coordinate 6.564484 6.561380 6.558491 6.555818 6.553361 6.551124 6.549106
y-coordinate 2.670741 2.663232 2.655674 2.648065 2.640407 2.632699 2.624942
[,57] [,58] [,59] [,60] [,61] [,62] [,63]
x-coordinate 6.547312 6.545743 6.544402 6.543292 6.542418 6.541782 6.541391
y-coordinate 2.617135 2.609278 2.601371 2.593413 2.585404 2.577344 2.569230
[,64] [,65] [,66] [,67] [,68] [,69] [,70]
x-coordinate 6.541248 6.541358 6.541729 6.542366 6.543276 6.544468 6.545949
y-coordinate 2.561062 2.552840 2.544562 2.536225 2.527829 2.519372 2.510852
[,71] [,72] [,73] [,74] [,75] [,76] [,77]
x-coordinate 6.547730 6.549820 6.552231 6.554975 6.558065 6.561518 6.565351
y-coordinate 2.502266 2.493611 2.484885 2.476084 2.467205 2.458242 2.449193
[,78] [,79] [,80] [,81] [,82] [,83] [,84]
x-coordinate 6.569580 6.574229 6.579319 6.584879 6.590937 6.597528 6.604692
y-coordinate 2.440051 2.430810 2.421464 2.412005 2.402424 2.392710 2.382853
[,85] [,86] [,87] [,88] [,89] [,90] [,91]
x-coordinate 6.612473 6.620926 6.630112 6.640107 6.651000 6.662904 6.675958
y-coordinate 2.372839 2.362650 2.352269 2.341672 2.330831 2.319711 2.308269
[,92] [,93] [,94] [,95] [,96] [,97] [,98]
x-coordinate 6.690340 6.706286 6.724118 6.744297 6.767530 6.794997 6.828988
y-coordinate 2.296447 2.284171 2.271338 2.257798 2.243323 2.227526 2.209658
[,99] [,100] [,101] [,102] [,103] [,104] [,105]
x-coordinate 6.875383 6.995525 7.272933 7.387984 7.434089 7.468610 7.497030
y-coordinate 2.187776 2.141462 2.840459 2.776777 2.745131 2.718951 2.695691
[,106] [,107] [,108] [,109] [,110] [,111] [,112]
x-coordinate 7.521484 7.543070 7.562444 7.580033 7.596136 7.610970 7.624702
y-coordinate 2.674356 2.654435 2.635623 2.617718 2.600582 2.584111 2.568228
[,113] [,114] [,115] [,116] [,117] [,118] [,119]
x-coordinate 7.637457 7.649340 7.660433 7.670805 7.680512 7.689604 7.698122
y-coordinate 2.552872 2.537995 2.523558 2.509527 2.495874 2.482578 2.469617
[,120] [,121] [,122] [,123] [,124] [,125] [,126]
x-coordinate 7.706100 7.713571 7.720562 7.727095 7.733193 7.738874 7.744154
y-coordinate 2.456973 2.444633 2.432582 2.420808 2.409300 2.398050 2.387048
[,127] [,128] [,129] [,130] [,131] [,132] [,133]
x-coordinate 7.749049 7.753572 7.757734 7.761547 7.765021 7.768164 7.770984
y-coordinate 2.376287 2.365759 2.355458 2.345378 2.335514 2.325859 2.316411
[,134] [,135] [,136] [,137] [,138] [,139] [,140]
x-coordinate 7.773488 7.775684 7.777576 7.779170 7.780471 7.781483 7.782210
y-coordinate 2.307164 2.298114 2.289258 2.280592 2.272113 2.263817 2.255703
[,141] [,142] [,143] [,144] [,145] [,146] [,147]
x-coordinate 7.782656 7.782822 7.782713 7.782329 7.781673 7.780747 7.779551
y-coordinate 2.247766 2.240005 2.232418 2.225001 2.217754 2.210674 2.203759
[,148] [,149] [,150] [,151] [,152] [,153] [,154]
x-coordinate 7.778087 7.776356 7.774356 7.772090 7.769555 7.766752 7.763680
y-coordinate 2.197007 2.190417 2.183988 2.177718 2.171606 2.165651 2.159851
[,155] [,156] [,157] [,158] [,159] [,160] [,161]
x-coordinate 7.760337 7.756723 7.752835 7.748671 7.744229 7.739506 7.734499
y-coordinate 2.154206 2.148714 2.143376 2.138190 2.133156 2.128274 2.123542
[,162] [,163] [,164] [,165] [,166] [,167] [,168]
x-coordinate 7.729204 7.723618 7.717735 7.711552 7.705063 7.698262 7.691143
y-coordinate 2.118962 2.114533 2.110254 2.106127 2.102152 2.098329 2.094658
[,169] [,170] [,171] [,172] [,173] [,174] [,175]
x-coordinate 7.683699 7.675921 7.667802 7.659332 7.650502 7.641299 7.631712
y-coordinate 2.091141 2.087780 2.084574 2.081526 2.078638 2.075912 2.073351
[,176] [,177] [,178] [,179] [,180] [,181] [,182]
x-coordinate 7.621726 7.611328 7.600499 7.589222 7.577475 7.565236 7.552477
y-coordinate 2.070957 2.068733 2.066684 2.064815 2.063130 2.061635 2.060338
[,183] [,184] [,185] [,186] [,187] [,188] [,189]
x-coordinate 7.539168 7.525276 7.510761 7.495578 7.479674 7.462986 7.445439
y-coordinate 2.059246 2.058369 2.057717 2.057304 2.057145 2.057259 2.057667
[,190] [,191] [,192] [,193] [,194] [,195] [,196]
x-coordinate 7.426943 7.407388 7.386632 7.364499 7.340752 7.315070 7.286991
y-coordinate 2.058397 2.059483 2.060967 2.062907 2.065376 2.068476 2.072356
[,197] [,198] [,199] [,200]
x-coordinate 7.255809 7.220343 7.178304 7.123813
y-coordinate 2.077244 2.083524 2.091947 2.104455
[,1] [,2] [,3] [,4] [,5] [,6]
x-coordinate 5.850080 1.1092739 5.816477 1.023822 5.790651 0.9661971
y-coordinate 1.646017 -0.7137807 1.642283 -0.664085 1.637652 -0.6290565
[,7] [,8] [,9] [,10] [,11] [,12]
x-coordinate 5.768883 0.9231828 5.749729 0.8896301 5.732447 0.8628860
y-coordinate 1.632554 -0.6019497 1.627156 -0.5800905 1.621544 -0.5620759
[,13] [,14] [,15] [,16] [,17] [,18]
x-coordinate 5.716594 0.8413676 5.701882 0.8240397 5.688112 0.8101810
y-coordinate 1.615770 -0.5470533 1.609867 -0.5344544 1.603860 -0.5238753
[,19] [,20] [,21] [,22] [,23] [,24]
x-coordinate 5.675136 0.7992643 5.662845 0.7908909 5.651154 0.7847503
y-coordinate 1.597764 -0.5150154 1.591595 -0.5076421 1.585361 -0.5015708
[,25] [,26] [,27] [,28] [,29] [,30]
x-coordinate 5.639993 0.7805948 5.629308 0.7782233 5.619055 0.7774699
y-coordinate 1.579071 -0.4966513 1.572732 -0.4927589 1.566349 -0.4897885
[,31] [,32] [,33] [,34] [,35] [,36]
x-coordinate 5.609194 0.7781955 5.599694 0.7802824 5.590529 0.7836299
y-coordinate 1.559927 -0.4876505 1.553469 -0.4862671 1.546980 -0.4855705
[,37] [,38] [,39] [,40] [,41] [,42]
x-coordinate 5.581674 0.7881508 5.573110 0.7937693 5.564819 0.8004190
y-coordinate 1.540462 -0.4855010 1.533918 -0.4860054 1.527349 -0.4870361
[,43] [,44] [,45] [,46] [,47] [,48]
x-coordinate 5.556786 0.8080409 5.548998 0.8165831 5.541442 0.8259988
y-coordinate 1.520759 -0.4885502 1.514148 -0.4905090 1.507518 -0.4928771
[,49] [,50] [,51] [,52] [,53] [,54]
x-coordinate 5.534108 0.8362461 5.526986 0.8472875 5.520069 0.8590886
y-coordinate 1.500871 -0.4956223 1.494207 -0.4987149 1.487529 -0.5021274
[,55] [,56] [,57] [,58] [,59] [,60]
x-coordinate 5.513349 0.8716186 5.506818 0.8848491 5.500472 0.8987543
y-coordinate 1.480837 -0.5058348 1.474132 -0.5098134 1.467416 -0.5140415
[,61] [,62] [,63] [,64] [,65] [,66]
x-coordinate 5.494305 0.9133104 5.488312 0.9284957 5.482489 0.9442900
y-coordinate 1.460688 -0.5184987 1.453949 -0.5231661 1.447201 -0.5280258
[,67] [,68] [,69] [,70] [,71] [,72]
x-coordinate 5.476832 0.9606748 5.471338 0.9776330 5.466004 0.9951487
y-coordinate 1.440443 -0.5330611 1.433677 -0.5382562 1.426903 -0.5435964
[,73] [,74] [,75] [,76] [,77] [,78]
x-coordinate 5.460827 1.0132071 5.455804 1.031795 5.450935 1.0508984
y-coordinate 1.420122 -0.5490677 1.413333 -0.554657 1.406538 -0.5603517
[,79] [,80] [,81] [,82] [,83] [,84]
x-coordinate 5.446217 1.0705067 5.441648 1.0906086 5.437229 1.111194
y-coordinate 1.399737 -0.5661401 1.392930 -0.5720111 1.386117 -0.577954
[,85] [,86] [,87] [,88] [,89] [,90]
x-coordinate 5.432957 1.1322529 5.428832 1.1537771 5.424854 1.1757582
y-coordinate 1.379299 -0.5839589 1.372476 -0.5900161 1.365649 -0.5961166
[,91] [,92] [,93] [,94] [,95] [,96]
x-coordinate 5.421023 1.1981888 5.417338 1.2210619 5.413800 1.2443712
y-coordinate 1.358818 -0.6022519 1.351982 -0.6084139 1.345143 -0.6145946
[,97] [,98] [,99] [,100] [,101] [,102]
x-coordinate 5.410409 1.2681109 5.407165 1.2922758 5.404071 1.316861
y-coordinate 1.338300 -0.6207868 1.331453 -0.6269835 1.324604 -0.633178
[,103] [,104] [,105] [,106] [,107] [,108]
x-coordinate 5.401126 1.341863 5.398332 1.3672766 5.395690 1.3931001
y-coordinate 1.317751 -0.639364 1.310895 -0.6455355 1.304036 -0.6516868
[,109] [,110] [,111] [,112] [,113] [,114]
x-coordinate 5.393203 1.4193304 5.390871 1.4459654 5.388698 1.4730036
y-coordinate 1.297175 -0.6578125 1.290311 -0.6639076 1.283445 -0.6699671
[,115] [,116] [,117] [,118] [,119] [,120]
x-coordinate 5.386685 1.5004439 5.384836 1.5282861 5.383153 1.5565301
y-coordinate 1.276576 -0.6759865 1.269705 -0.6819616 1.262831 -0.6878882
[,121] [,122] [,123] [,124] [,125] [,126]
x-coordinate 5.381639 1.5851770 5.380298 1.6142281 5.379134 1.6436856
y-coordinate 1.255955 -0.6937626 1.249077 -0.6995812 1.242196 -0.7053407
[,127] [,128] [,129] [,130] [,131] [,132]
x-coordinate 5.378151 1.673552 5.377354 1.7038323 5.376747 1.7345297
y-coordinate 1.235313 -0.711038 1.228428 -0.7166703 1.221540 -0.7222349
[,133] [,134] [,135] [,136] [,137] [,138]
x-coordinate 5.376336 1.7656501 5.376127 1.797200 5.376125 1.8291867
y-coordinate 1.214649 -0.7277295 1.207756 -0.733152 1.200861 -0.7385004
[,139] [,140] [,141] [,142] [,143] [,144]
x-coordinate 5.376339 1.8616193 5.376776 1.8945076 5.377443 1.9278632
y-coordinate 1.193962 -0.7437731 1.187060 -0.7489686 1.180155 -0.7540859
[,145] [,146] [,147] [,148] [,149] [,150]
x-coordinate 5.378350 1.9616991 5.379507 1.9960303 5.380925 2.0308737
y-coordinate 1.173246 -0.7591241 1.166334 -0.7640826 1.159417 -0.7689611
[,151] [,152] [,153] [,154] [,155] [,156]
x-coordinate 5.382616 2.0662487 5.384593 2.1021772 5.386871 2.1386841
y-coordinate 1.152495 -0.7737596 1.145569 -0.7784787 1.138637 -0.7831191
[,157] [,158] [,159] [,160] [,161] [,162]
x-coordinate 5.389466 2.1757979 5.392397 2.2135511 5.395684 2.2519811
y-coordinate 1.131699 -0.7876819 1.124754 -0.7921691 1.117801 -0.7965828
[,163] [,164] [,165] [,166] [,167] [,168]
x-coordinate 5.399352 2.291131 5.403425 2.3310498 5.407935 2.3717962
y-coordinate 1.110840 -0.800926 1.103869 -0.8052025 1.096888 -0.8094167
[,169] [,170] [,171] [,172] [,173] [,174]
x-coordinate 5.412918 2.4134377 5.418413 2.4560544 5.424470 2.4997417
y-coordinate 1.089894 -0.8135744 1.082886 -0.8176826 1.075862 -0.8217499
[,175] [,176] [,177] [,178] [,179] [,180]
x-coordinate 5.431146 2.5446148 5.438510 2.5908140 5.446647 2.6385137
y-coordinate 1.068820 -0.8257872 1.061756 -0.8298079 1.054666 -0.8338292
[,181] [,182] [,183] [,184] [,185] [,186]
x-coordinate 5.455664 2.6879338 5.465698 2.739359 5.476927 2.7931655
y-coordinate 1.047546 -0.8378732 1.040389 -0.841969 1.033186 -0.8461557
[,187] [,188] [,189] [,190] [,191] [,192]
x-coordinate 5.489598 2.8498745 5.504062 2.9102349 5.520853 2.9753983
y-coordinate 1.025927 -0.8504885 1.018593 -0.8550477 1.011158 -0.8599591
[,193] [,194] [,195] [,196] [,197] [,198]
x-coordinate 5.540868 3.0473042 5.5658419 3.1297344 5.6002237 3.2324486
y-coordinate 1.003578 -0.8654374 0.9957635 -0.8719084 0.9874862 -0.8804902
[,199] [,200] [,201] [,202] [,203] [,204]
x-coordinate 5.6903559 3.4580469 5.930444 1.3604010 6.008608 1.6669053
y-coordinate 0.9763107 -0.9032552 1.644399 -0.8468364 1.628025 -0.9859063
[,205] [,206] [,207] [,208] [,209] [,210] [,211]
x-coordinate 6.039955 1.807252 6.063468 1.919301 6.082865 2.016282 6.099592
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