Abstract: In this talk, we adress the problem of image restoration in the case of turbulence deformations. Indeed, in long range imaging, the optical path is subject to the atmosphere behaviour. One of the most limiting effect is the deformation induced by the turbulence. In order to correct this effect, we propose to modelize it as a deformation field which under a weak assumption can be written as a linear convolution operator. Then, we introduce this operator in a classical or nonlocal total variation framework. We minimize it by an iterating scheme where we estimate both the deformation field and the restored image. Numerical experiments shows that this algorithm needs relatively less iterations and converges fast.