Video stabilization of atmospheric turbulence distortion

Yifei Lou; Sung Ha Kang; Stefano Soatto; Andrea L. Bertozzi

doi:10.3934/ipi.2013.7.839

Article Contents

2013, Volume 7, Issue 3: 839-861. Doi: 10.3934/ipi.2013.7.839 open access

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Video stabilization of atmospheric turbulence distortion

1.
Department of Mathematics, University of California Los Angeles, Los Angeles, CA, 90095
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

Received: April 2012

Revised: March 2013

Published: August 2013

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Abstract

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.

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Mathematics Subject Classification: Primary: 68U10; Secondary: 35B65, 35B35.

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