Great discussion started here 

To answer some of the questions and to give more background:

-       The grid resolution is 1x1cm. The problem starts when the distance of 
the readings gets high. Then a 1° resolution doesn’t cover all cells anymore. 
And cells get counted double on short distance – which needs to be compensated. 
So for larger distances I need to get down to about 0.1 degree in reality to 
not miss cells.
-       So far I ran the logic for the robot on a PC. No problem here with the 
performance using trigonometry (in java). But I am on my way porting everything 
to a raspberry pi which will be on the robot itself.
Due to the limited calculation power I want to avoid too heavy calculation for 
regular jobs. The scans come in about every 40ms. So the calculation needs to 
be as fast as possible.
-       I surely will benchmark the new approach vs. the trigonometry solution 
which I will port from my current java solution. Maybe I will be surprised – 
but I think the trig approach will be slower.

The lookup table is also a great idea! I can produce it for any resolution 
needed and on runtime it is simply combining lists for the slices needed…..not 
bad.


So far I have the circle points as well as the lines – using the Brenham’s 
circle and line functions.
Code: http://pastebin.com/GzUzuAnb

I just need to get the filling done…..

 
Robert
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