Atmospheric turbulence profoundly limits the angular resolution of ast
ronomical telescopes working at visible and near-infrared wavelengths.
In fact, the angular resolution for conventional imaging through turb
ulence is on the order of 5-20 % of the diffraction-limited resolution
at the best observatories in the world. The origin of these performan
ce degradations turbulence-induced fluctuations in the index of refrac
tion of the atmosphere. index-of-refraction fluctuations producing the
optical path length of the atmosphere to be random in both space and
time, producing random aberrations in the telescope pupil that degrade
imaging performance. Over the past several years significant advances
have been made in developing both hardware and image processing-based
techniques for improving the resolution of astronomical telescopes. H
ardware-oriented correction techniques are based on wave-front sensing
and adaptive optics. Image-processing-based methods include speckle-i
maging techniques and hybrid imaging techniques that use elements of a
daptive-optics systems and image reconstruction. Analysis techniques f
or predicting the performance of these imaging methods have been devel
oped, and the comparative performance of these imaging techniques has
been examined. This paper discusses turbulence and image-detection sta
tistics, describes the fundamentals of methods for overcoming turbulen
ce effects, and provides representative performance results.