Convert coordinates of trilateration to position on picture or svg

Question

I'm working on a project to track a bt device using three bt readers in a room. This already works fine, I have some data.

I hope, I have done my math correct thus I can calculate my position using trilateration. Well, works fine on my paper sheet and arbitrary python script.

I used following tipps:

Trilateration C# How to get back into "normal" coordinates?

Trilateration example in java

and finally https://math.stackexchange.com/questions/100448/finding-location-of-a-point-on-2d-plane-given-the-distances-to-three-other-know

As I know the coordinates of my 3 receivers in "the real world" and distances, I ask my self how to transform this informations onto my 2D picture (or svg).

For instance, how do I convert my three distances 3m, 5m and 6m into a picture with 600x800 pixel. How to I set the position of the readers onto the picture? Any suggestions or real world hints? What happens if I either zoom in or zoom out of the picture? How to find the coordinate for my position marker on my picture derived from real data?

Thanks

Answer 1

You're essentially asking how to draw a map of a small area.

Take the corners of the 600x800 image and decide where they should land in the real world. Ideally the they should make a rectangle of the same 3 by 4 shape, so that the conversion factor of real world distance to pixels is the same on horizontal and vertical. After that it's just linear interpolation.