3D trilateration

[![NPM version][npm-image]][npm-url]
[![npm download][download-image]][download-url]

Simple computation of trilateration using matlab's Levenberg Marquardt curve-fitting algorithm. Using to locate objects in a 3D coordinate system by at least 4 known points and approximate radii around these fixed points.

Installation

$ npm i lm-trilateration3d

Usage

``js
// import library
const trilat = require('lm-trilateration3d');

// 3D
// At least 4 beacons position and distance to locate 3D, if have only 3 beacons, z can not calculate then replace by undefined
var input3D = { data: [
// X Y Z R
[ 0, 0, 0, 8.84],
[ 8.84, 4.57, 12.59, 8.84],
[ 0, -8.84, 8.84, 8.84],
[ 10.72, -8.96, 8.84, 8.84]
]};

var output3D = trilat.locate3D(input3D);
/* {
x: [ 5.2 ],
y: [ -1.2 ],
z: [ 7.7 ]
} */

// 2D
// At least 3 beacons position and distance to locate 3D
var input2D = { data: [
// X Y R
[ 0.0, 0.0, 10.0],
[10.0, 10.0, 10.0],
[10.0, 0.0, 14.142135]
]};

var output2D = trilat.locate2D(input2D);
/* {
x: [ 2.205170988086251e-7 ],
y: [ 9.999999779478834 ]
} */

``

License

MIT

[npm-image]: https://img.shields.io/npm/v/lm-trilateration3d?style=flat-square
[npm-url]: https://npmjs.org/package/lm-trilateration3d
[download-image]: https://img.shields.io/npm/dm/lm-trilateration3d?style=flat-square
[download-url]: https://npmjs.org/package/lm-trilateration3d