Non rigid geometric distortions correction - Application to atmospheric turbulence stabilization

Yu Mao; Jérôme Gilles

doi:10.3934/ipi.2012.6.531

Article Contents

2012, Volume 6, Issue 3: 531-546. Doi: 10.3934/ipi.2012.6.531

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Non rigid geometric distortions correction - Application to atmospheric turbulence stabilization

Yu Mao^1, and
Jérôme Gilles^2,

1.
Institute for Mathematics and Its Applications, University of Minnesota, 425 Lind Hall 207 Church Street SE, Minneapolis, MN 55455-0134
2.
Department of Mathematics, University of California Los Angeles, 520 Portola Plaza, Los Angeles, CA 90095-1555

Received: June 30, 2011

Revised: December 31, 2011

Published: July 2012

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Abstract

A novel approach is presented to recover an image degraded by atmospheric turbulence. Given a sequence of frames affected by turbulence, we construct a variational model to characterize the static image. The optimization problem is solved by Bregman Iteration and the operator splitting method. Our algorithm is simple, efficient, and can be easily generalized for different scenarios.

Keywords:

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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