This paper describes the performance of the optical image stabilizer s
ystem developed for the franco-Italian T.H.E.M.I.S. telescope, which i
s currently being built on the Canary Island Tenerife. T.H.E.M.I.S wil
l be one of the largest solar telescopes, and will be the first to be
manufactured with a real time tip-tilt correction system integrated in
to its optical train. A new method is described here for measuring ima
ge motions. This method is called granulation tracking. It is based on
Fourier transform analysis. A servo-loop model is also proposed, base
d on experimental measurements and the known time properties of atmosp
heric turbulence, to deduce the image quality obtained after correctio
n. Method sensitivity and accuracy under various terrestrial turbulenc
e conditions are discussed.