0

Based on this previous question, but slightly different: Find a point using multilateration or triangulation

Suppose we have 3 points in a 3d coordinate system with the following locations.

A=(100,0,0) B=(0,100,100) C=(0,0,100)

If there is a 4th point, D, that has its angles known when pointed toward the other three points, can its location be found? If so, how would I find the coordinates? More known points can be added.

This is another similar question that has a useful picture that goes along with it: How can I find the coord of the 4th point only by the known coords of the other three points and the angles?

This question has many answers, but it is in 2d: Find 3rd point of triangle given two points and one angle Would more points be needed for 3d?

Christian Blevens
  • 1
  • 1
    What angles you are referring to? 1) $\angle ADX, \angle BDX, \angle CDX$ where $DX$ is pointing along a known (or unknown?) direction or 2) the 3 angles $\angle ADB, \angle BDC$, $\angle CDA$? – achille hui Jan 21 '23 at 06:32
  • @achillehui Where DX is pointing along an unknown axis. It's consistent but isn't related directly to the points coordinate system. It's a problem I'm having with pointing a camera at some object in real life. I know the angles the camera is pointing at and the locations of the objects it's pointing at. Honestly, I've been thinking of ways to relate the unknown axis angles to a known axis, and I think I've come up with a way if only that is possible. (angle to A - angle to B is the angle between ADB or something) – Christian Blevens Jan 21 '23 at 07:14

0 Answers0