问题：
使用三边测量应用程序进行二维三边测量
石超
我试图实现三维点之间的三元组。我最终尝试使用这个库三元组。我使用了下面给出的例子，并尝试执行它。下面是代码
import org.apache.commons.math3.fitting.leastsquares.LeastSquaresOptimizer.Optimum;
import org.apache.commons.math3.fitting.leastsquares.LevenbergMarquardtOptimizer;
import com.lemmingapex.trilateration.NonLinearLeastSquaresSolver;
import com.lemmingapex.trilateration.TrilaterationFunction;
public class Pointofintersection {
public static void main() {
// TODO Auto-generated method stub
double[][] positions = new double[][] { { 5.0, -6.0 }, { 13.0, -15.0 }, { 21.0, -3.0 }, { 12.4, -21.2 } };
double[] distances = new double[] { 8.06, 13.97, 23.32, 15.31 };
NonLinearLeastSquaresSolver solver = new NonLinearLeastSquaresSolver(new TrilaterationFunction(positions, distances), new LevenbergMarquardtOptimizer());
Optimum optimum = solver.solve();
double[] centroid = optimum.getPoint().toArray();
System.out.println(centroid);
//System.out.println(centroid[1]);
}
}
那么现在我应该期望什么类型的输出。我得到了一些奇怪的输出，我无法理解它本身。
-2.0433926409457167E-7d,
-9.1973399031975E-8d,
-1.5723449006087263E-7d,
+7.887051614592191E-8d,
+1.4166246290402286E-7d,
+3.330146018487787E-8d,
+2.3278688667580978E-7d,
-2.1139124097042925E-7d,
+1.334449995534113E-7d,
-1.6104730195920897E-7d,
-1.3902314592614197E-7d,
+2.0169027167169864E-7d,
-9.040643863751471E-8d,
-5.946190852360168E-8d,
-1.8013411720005014E-7d,
+2.6595401669835947E-8d,
+8.607292924069425E-8d,
+4.84038176769263E-10d,
-2.2798356346688802E-7d,
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-1.5111906039270745E-7d,
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-9.892260062323546E-8d,
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-3.244024724169575E-8d,
-2.327564406466327E-7d,
-6.38187356721971E-8d,
-2.3995994000400915E-10d,
-3.9793609609721186E-8d,
-1.802510054588344E-7d,
+5.745586744591196E-8d,
+1.987228872666507E-7d,
-2.3105188606976847E-7d,
+2.0088042407239129E-7d,
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-4.4200075770425176E-8d,
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-1.8297013058336644E-8d,
-1.005004229646318E-7d,
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-2.1792661654989742E-7d,
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-7.34071933723896E-8d,
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-2.6033812325397097E-8d,
-2.6489990728664908E-8d,
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-2.1706266226554237E-7d,
-1.7839974359909697E-8d,
+2.3725087624341041E-7d,
+7.37567604176979E-8d,
-2.9098805266958403E-8d,
-6.892713087722722E-8d,
-4.333719263537725E-8d,
+5.006436936098099E-8d,
+2.1367325342138113E-7d,
-2.6949659655907758E-8d,
-1.9256682968755803E-7d,
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-2.1534486893602122E-7d,
-5.688830723853217E-8d,
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+4.6730779443102234E-8d,
-3.275360514112964E-9d,
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+1.820141955326842E-7d,
-5.468175655175594E-8d,
-1.8981247089866317E-7d,
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-2.105749999899302E-7d,
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-2.1749172296989992E-7d,
-3.9242560971295217E-8d,
-1.822826971477839E-7d,
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-1.301267783434537E-7d,
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-1.907487641016455E-8d,
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-1.9697226735187428E-7d,
+2.1819935527247946E-7d,
-1.398318929248588E-7d,
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+1.723826394935661E-7d,
-1.0602700638269148E-7d,
-1.9392742205954563E-7d,
-8.880302882034106E-8d,
+2.1186420987133E-7d,
+2.3375763256988976E-7d,
-2.0599801342241997E-8d,
-7.184550924856607E-8d,
+8.254840070367875E-8d,
};
LN_MANT
{
{+0.0d, +0.0d, }, // 0
{+9.760860120877624E-4d, -3.903230345984362E-11d, }, // 1
{+0.0019512202125042677d, -8.124251825289188E-11d, }, // 2
{+0.0029254043474793434d, -1.8374207360194882E-11d,}, // 3
{+0.0038986406289041042d, -2.1324678121885073E-10d,}, // 4
{+0.004870930686593056d, -4.5199654318611534E-10d,}, // 5
{+0.025073636323213577d, +1.2289023836765196E-9d, }, // 26
......
{+0.02602556347846985d, +1.7990281828096504E-9d, }, // 27
{+0.026976589113473892d, -1.4152718164638451E-9d, }, // 28
{+0.02792670577764511d, +7.568772963781632E-10d, }, // 29
{+0.0288759246468544d, -1.1449998592111558E-9d, }, // 30
{+0.029824241995811462d, -1.6850976862319495E-9d, }, // 31
{+0.030771657824516296d, +8.422373919843096E-10d, }, // 32
{+0.0317181795835495d, +6.872350402175489E-10d, }, // 33
{+0.03266380727291107d, -4.541194749189272E-10d, }, // 34
{+0.03360854089260101d, -8.9064764856495E-10d, }, // 35
{+0.034552380442619324d, +1.0640404096769032E-9d, }, // 36
{+0.0354953333735466d, -3.5901655945224663E-10d,}, // 37
{+0.03643739968538284d, -3.4829517943661266E-9d, }, // 38
{+0.037378571927547455d, +8.149473794244232E-10d, }, // 39
{+0.03831886500120163d, -6.990650304449166E-10d, }, // 40
{+0.03925827145576477d, +1.0883076226453258E-9d, }, // 41
{+0.040196798741817474d, +3.845192807999274E-10d, }, // 42
{+0.04113444685935974d, -1.1570594692045927E-9d, }, // 43
{+0.04207121580839157d, -1.8877045166697178E-9d, }, // 44
{+0.043007105588912964d, -1.6332083257987747E-10d,}, // 45
{+0.04394212365150452d, -1.7950057534514933E-9d, }, // 46
{+0.04487626254558563d, +2.302710041648838E-9d, }, // 47
{+0.045809537172317505d, -1.1410233017161343E-9d, }, // 48
{+0.04674194008111954d, -3.0498741599744685E-9d, }, // 49
{+0.04767347127199173d, -1.8026348269183678E-9d, }, // 50
{+0.04860413819551468d, -3.233204600453039E-9d, }, // 51
{+0.04953393340110779d, +1.7211688427961583E-9d, }, // 52
{+0.05046287178993225d, -2.329967807055457E-10d, }, // 53
{+0.05139094591140747d, -4.191810118556531E-11d, }, // 54
{+0.052318163216114044d, -3.5574324788328143E-9d, }, // 55
{+0.053244516253471375d, -1.7346590916458485E-9d, }, // 56
{+0.05417001247406006d, -4.343048751383674E-10d, }, // 57
{+0.055094651877880096d, +1.92909364037955E-9d, }, // 58
{+0.056018441915512085d, -5.139745677199588E-10d, }, // 59
{+0.05694137513637543d, +1.2637629975129189E-9d, }, // 60
{+0.05786345899105072d, +1.3840561112481119E-9d, }, // 61
{+0.058784693479537964d, +1.414889689612056E-9d, }, // 62
{+0.05970507860183716d, +2.9199191907666474E-9d, }, // 63
{+0.0606246218085289d, +7.90594243412116E-12d, }, // 64
{+0.06154331564903259d, +1.6844747839686189E-9d, }, // 65
{+0.06246116757392883d, +2.0498074572151747E-9d, }, // 66
{+0.06337818503379822d, -4.800180493433863E-9d, }, // 67
{+0.06429435312747955d, -2.4220822960064277E-9d, }, // 68
{+0.06520968675613403d, -4.179048566709334E-9d, }, // 69
{+0.06612417101860046d, +6.363872957010456E-9d, }, // 70
{+0.06703783571720123d, +9.339468680056365E-10d, }, // 71
{+0.06795066595077515d, -4.04226739708981E-9d, }, // 72
.......
{+0.47036975622177124d, +1.6922605350647674E-8d, }, // 615
{+0.4709796905517578d, +2.4667033200046904E-8d, }, // 616
.......
{+0.5952457189559937d, +3.67972590471072E-8d, }, // 833
{+0.595784068107605d, +4.566672575206695E-8d, }, // 834
{+0.5963221788406372d, +3.2813537149653483E-9d, }, // 835
{+0.5968599319458008d, +2.916199305533732E-8d, }, // 836
{+0.5973974466323853d, +4.410412409109416E-9d, }, // 837
{+0.5979346036911011d, +4.85464582112459E-8d, }, // 838
{+0.5984715223312378d, +4.267089756924666E-8d, }, // 839
{+0.5990082025527954d, -1.2906712010774655E-8d, }, // 840
{+0.5995445251464844d, +1.3319784467641742E-9d, }, // 841
{+0.6000806093215942d, -3.35137581974451E-8d, }, // 842
{+0.6006163358688354d, +2.0734340706476473E-9d, }, // 843
{+0.6011518239974976d, -1.0808162722402073E-8d, }, // 844
{+0.601686954498291d, +4.735781872502109E-8d, }, // 845
{+0.6022218465805054d, +5.76686738430634E-8d, }, // 846
{+0.6027565002441406d, +2.043049589651736E-8d, }, // 847
{+0.6032907962799072d, +5.515817703577808E-8d, }, // 848
{+0.6038248538970947d, +4.2947540692649586E-8d, }, // 849
{+0.6043586730957031d, -1.589678872195875E-8d, }, // 850
{+0.6048921346664429d, -1.8613847754677912E-9d, }, // 851
{+0.6054253578186035d, -3.3851886626187444E-8d, }, // 852
{+0.6059582233428955d, +7.64416021682279E-9d, }, // 853
.........
{+0.6872705221176147d, +4.995334552140326E-8d, }, // 1012
{+0.687761664390564d, -5.3763211240398744E-8d, }, // 1013
{+0.6882524490356445d, -4.0852427502515625E-8d, }, // 1014
{+0.688742995262146d, -3.0287143914420064E-8d, }, // 1015
{+0.6892333030700684d, -2.183125937905008E-8d, }, // 1016
{+0.6897233724594116d, -1.524901992178814E-8d, }, // 1017
{+0.6902132034301758d, -1.0305018010328949E-8d, }, // 1018
{+0.6907027959823608d, -6.764191876212205E-9d, }, // 1019
{+0.6911921501159668d, -4.391824838015402E-9d, }, // 1020
{+0.6916812658309937d, -2.9535446262017846E-9d, }, // 1021
{+0.6921701431274414d, -2.2153227096187463E-9d, }, // 1022
{+0.6926587820053101d, -1.943473623641502E-9d, }, // 1023
};
SINE_TABLE_A=
{
+0.0d,
+0.1246747374534607d,
+0.24740394949913025d,
+0.366272509098053d,
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+0.9489846229553223d,
+0.9808930158615112d,
+0.9974949359893799d,
+0.9985313415527344d,
};
SINE_TABLE_B=
{
+0.0d,
-4.068233003401932E-9d,
+9.755392680573412E-9d,
+1.9987994582857286E-8d,
-1.0902938113007961E-8d,
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-5.207000323380292E-8d,
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+1.883511811213715E-8d,
-3.5997360512765566E-9d,
+4.116164446561962E-8d,
+5.0614674548127384E-8d,
-1.0129027912496858E-9d,
};
COSINE_TABLE_A=
{
+1.0d,
+0.9921976327896118d,
+0.9689123630523682d,
+0.9305076599121094d,
+0.8775825500488281d,
+0.8109631538391113d,
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+0.4311765432357788d,
+0.3153223395347595d,
+0.19454771280288696d,
+0.07073719799518585d,
-0.05417713522911072d,
};
COSINE_TABLE_B=
{
+0.0d,
+3.4439717236742845E-8d,
+5.865827662008209E-8d,
-3.7999795083850525E-8d,
+1.184154459111628E-8d,
-3.43338934259355E-8d,
+1.1795268640216787E-8d,
+4.438921624363781E-8d,
+2.925681159240093E-8d,
-2.6437112632041807E-8d,
+2.2860509143963117E-8d,
-4.813899778443457E-9d,
+3.6725170580355583E-9d,
+2.0217439756338078E-10d,
};
TANGENT_TABLE_A=
{
+0.0d,
+0.1256551444530487d,
+0.25534194707870483d,
+0.3936265707015991d,
+0.5463024377822876d,
+0.7214844226837158d,
+0.9315965175628662d,
+1.1974215507507324d,
+1.5574076175689697d,
+2.092571258544922d,
+3.0095696449279785d,
+5.041914939880371d,
+14.101419448852539d,
-18.430862426757812d,
};
TANGENT_TABLE_B=
{
+0.0d,
-7.877917738262007E-9d,
-2.5857668567479893E-8d,
+5.2240336371356666E-9d,
+5.206150291559893E-8d,
+1.8307188599677033E-8d,
-5.7618793749770706E-8d,
+7.848361555046424E-8d,
+1.0708593250394448E-7d,
+1.7827257129423813E-8d,
+2.893485277253286E-8d,
+3.1660099222737955E-7d,
+4.983191803254889E-7d,
-3.356118100840571E-7d,
};
所以，请让我知道，如果我做错了什么，或者它是真实的数据，我应该解析，并用于其他一些计算。
共有1个答案
鲁阳焱
你能用这个系统打印一个双数组吗。出来println（）和您正在做的一样？
double[] centroid = optimum.getPoint().toArray();
System.out.println(centroid);
您是否尝试过这样的方法：打印Java数组的最简单方法是什么？
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我试图用Javascript使用https://github.com/gheja/trilateration.js而且它似乎在起作用。然而，某些简单的情况应该产生解决方案，但事实并非如此。例如： 这似乎是一个简单得可笑的例子，应该在x:0，y:0产生一个解，但是函数告诉我没有解。我是否对三边测量有误解，或者函数中是否存在错误？ 任何帮助都将不胜感激。
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我试图找出一个问题，你假装你是一个在未知目标位置（纬度和经度坐标）的GPS装置。我得到了4颗卫星的数据（纬度和经度坐标对，每对卫星到目标位置的距离（以公里为单位）和增量时间）。有人知道如何计算目标位置的坐标吗？我试着做研究，但所涉及的数学知识远远超出了我的能力。提前感谢您的帮助。 以下是数据：
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如我所知，三次分割是寻找三个球体交汇区域中心的过程。我在c中写了三边测量法，我取了方程式，它是维基百科中三边测量中心和二维三边测量的细节 举一个如下的例子： 例1:p1（5,10），p2（15,10），p3（10,20），r1=9，r2=7，r3=8，答案是（11.6，13.8），这是逻辑答案。 但当像下面的例子一样的情况下，答案就像一个垃圾数字，我从计算中确定，但在这种情况下，我不知道原因！ E
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我正在使用wifi三边测量技术开发室内导航应用程序， 我有3个接入点我得到了lat 我需要转换每个lat 加上如果我得到x，y不可能转换成它的拉特 谢啦
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对于三角测量，您需要知道设备接收信号的方向。我们可以计算到达角，但计算到达角需要一组接收器。手机能计算到达角吗？我问这个问题是因为我遇到了诸如wifi/BLE三角测量、通过三角测量计算位置等术语，但在大多数情况下，它们实际上是指三边测量。我知道三边测量在手机上的工作原理和所有细节，但我认为三角测量是不可能的。如果可能的话，如何可能？如果使用ibeacons来近似位置，哪个（三角测量或三边测量）会产