Video stabilization of atmospheric turbulence distortion

We present a method to enhance the quality of a video sequencecaptured through a turbulent atmospheric medium, and give anestimate of the radiance of the distant scene, represented as a``latent image,'' which is assumed to be static throughout thevideo. Due to atmospheric turbulence, temporal averaging producesa blurred version of the scene's radiance. We propose a methodcombining Sobolev gradient and Laplacian to stabilize the videosequence, and a latent image is further found utilizing the ``luckyregion' method. The video sequence is stabilized while keepingsharp details, and the latent image shows more consistent straightedges. We analyze the well-posedness for the stabilizing PDE and thelinear stability of the numerical scheme.