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3D closed-form triangulation solution

  1. Jan 2, 2007 #1
    Hi,
    I have 3 points in 3D space whose positions are known to me and a third target point, whose position I am trying to find. I can obtain the distance between each of the 3 points and the target point. I can easily get 3 equations to obtain the 3 coordinate variables, but these equations are nonlinear.

    Do you guys know how I could get a simple, closed-form solution for each of the coordinate variables defining the target point? I figured that this would be a fairly standard problem, but I'm having finding anything written about it.

    Thanks in advance.
     
  2. jcsd
  3. Jan 2, 2007 #2

    D H

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    This isn't triangulation. Triangulation involves angles. You want something involving distance ... trilateration. See this wiki article on "http://en.wikipedia.org/wiki/Trilateration" [Broken].
     
    Last edited by a moderator: Apr 22, 2017 at 2:55 PM
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