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Need to find the centroid of a circular camera image

Greetings from a very poor python programmer, begging hat in hand;

I have an old lathe that has some bed wear, an linuxcnc has the 
facilities to correct that.  But it takes me surveying the machine for 
errors as the carriage is moved up and down the bed. Obviously I have to 
know what the error is, before I can correct it.

The best way is to mount a gunsighting laser in a 38 special caseing in a 
suitable adapter, and spin it in the lathes chuck, with a considerable 
neutral density filter in front of it, take a time exposure long enough 
to let the camera integrate the non-circular beam into a good circular 
pattern as the spindle turns at 500 to 1000 revs, then close 
the "shutter" save the image and locate the centroid of that saved 

Is there code to do that centroid math in somebodies "bottom desk 
drawer"? Something I could download and control with a bash script which 
I'm fair at?

Thanks everybody.

Cheers, Gene Heskett
"There are four boxes to be used in defense of liberty:
 soap, ballot, jury, and ammo. Please use in that order."
-Ed Howdershelt (Author)
Genes Web page <http://geneslinuxbox.net:6309/gene>