# American Institute of Mathematical Sciences

August  2013, 7(3): 839-861. doi: 10.3934/ipi.2013.7.839

## Video stabilization of atmospheric turbulence distortion

 1 Department of Mathematics, University of California Los Angeles, Los Angeles, CA, 90095, United States, United States 2 School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160 3 Computer Science Department, University of California Los Angeles, Los Angeles, CA, 90095, United States

Received  April 2012 Revised  March 2013 Published  September 2013

We present a method to enhance the quality of a video sequence captured through a turbulent atmospheric medium, and give an estimate of the radiance of the distant scene, represented as a latent image,'' which is assumed to be static throughout the video. Due to atmospheric turbulence, temporal averaging produces a blurred version of the scene's radiance. We propose a method combining Sobolev gradient and Laplacian to stabilize the video sequence, and a latent image is further found utilizing the lucky region" method. The video sequence is stabilized while keeping sharp details, and the latent image shows more consistent straight edges. We analyze the well-posedness for the stabilizing PDE and the linear stability of the numerical scheme.
Citation: Yifei Lou, Sung Ha Kang, Stefano Soatto, Andrea L. Bertozzi. Video stabilization of atmospheric turbulence distortion. Inverse Problems & Imaging, 2013, 7 (3) : 839-861. doi: 10.3934/ipi.2013.7.839
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