Request for guidance on mapping data - trig question

Mar 16, 2007 3 Replies
R

I'd like to generate a colored 'heat map' of readings from a hand-held sensor being moved around a room by a person.



I envisioned something like having two "measuring spools" (or ranging instruments), separated by a known distance, measuring the distance to the sensor.



If one knows the length all three sides of a triangle, how does one get the x,y coordinates of the sensor?



Any recommendations on:



- Other cost-effective or easy (out of the box) methods for achieving this result.



- Software for transforming a signal and x,y coordinates into a color image.



Thanks,



Rolfe



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J

The location is the intersection of two circles drawn centered at each beacon. There are actually two possible answers, but if you assume your beacons are along a wall, one of the locations will be out of bounds and can be discarded.

Google for; robot sonar beacon navigation

Joe Dunfee

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F

String pull encoders???

It is at the intersection of the two circles of radius "measured distance" centred at the measuring device.

r1^2=x1^2+y1^2 r2^2=x2^2+y2^2

x1=x2, y1=y2 Anyway...I'll get back to that

Any recommendations on:

easy? nope

- Software for transforming a signal and x,y coordinates into a color

Matlab a VB script Excel

look up RGB format - I think it is fairly easy to make an image from data arranged in the right fashion.

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F

formatting link
Theorem 3.13, bottom of page,

d is the distance between the centres...you already know that - the distance between the measuring devices

r1 & r2 are the measured distances from measuring devices to thermometer

x1 & y1, x2 & y2 are the coordinates of the measuring devices

x & y are the co-ordinates of the thermometer

x1y1 x2y2

0,0|-----.--------.-->y+ | \ / | \ / | r1\ /r2 | \ / | xy | | x+
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