There is a triangulation example in the geosphere vignette:
http://cran.r-project.org/web/packages/geosphere/vignettes/geosphere.pdf
This is for spherical (longitude/latitude) coordinates, but perhaps it is
useful to look at when developing something similar for xy coordinates.

Robert

On Wed, Jul 18, 2012 at 2:09 PM, Barry Rowlingson <
[email protected]> wrote:

> On Wed, Jul 18, 2012 at 7:24 PM, Robby Marrotte <[email protected]>
> wrote:
> > Hello everyone,
> >
> > I have data where for every tracked individual we have 3 radio-telemetry
> xy
> > locations with an orientation (0-360 deg). What I want to do is create
> > triangles which represent the possible locations of each individual. It
> > seems quite simple, but I haven`t found a script which does this yet. I
> > tried Hawth`s tools but it doesn't have anything like this.
>
> Hawth? Who that?
>
>  I'm no expert in this, but I've had a good search for anything that
> might do this in R, but can't find anything either. Found some
> literature (Russell V. Lenth appears to be quite the man for this) and
> some of the techniques in "On Finding The Source Of A Signal" in
> Technometrics 1981 by him should be easy to implement in R if anyone
> has a spare day...
>
>  The naive method of intersecting the lines should be doable with
> high-school geometry, but Lenth warns:
>
> """
> A simple method for estimating (x, y) would be to use the
> componentwise average of the n(n - 1)/2 bearing intersections
> (assuming the observation points are distinct and that each bearing
> intersects all other bearings). However, these points of intersection
> are not stochastically independent. Moreover, their error structures
> depend on the distances from the corresponding observation points as
> well as the angle of intersection. Thus it would be difficult to
> determine the statistical properties of such an estimator."""
>
> Barry
>
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