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I am able to measure my distance to a set of (about 6 or 7) fixed but unknown points from many positions.

The difference in position between measurements is also unknown.

I believe that I should be able to work out the relative position of the fixed points, and therefore where I measured from and the path I took.

I have looked at the wiki page for trilateration, but it only gives examples working from known points.

Any help?

  • 0
    Let's say the distances are 1,2,3,4,5,6. Now construct the following sets of points in $\mathbb{R}^2$: you are on position $(0,0)$, the next point is on position $(1,0)$, the next one on position $(2,0)$, etc... on the other hand, the following is also compatible with your distances: $(0,0),(0,1),(2,0),(0,3),(4,0),(0,5),(6,0)$. See?2010-12-12
  • 0
    I understand that, but it doesn't get me any closer to a solution. I will need to use differences in the distance sets of two or more readings.2010-12-12

2 Answers 2