# American Institute of Mathematical Sciences

August  2012, 6(3): 531-546. doi: 10.3934/ipi.2012.6.531

## Non rigid geometric distortions correction - Application to atmospheric turbulence stabilization

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

Received  July 2011 Revised  January 2012 Published  September 2012

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.
Citation: Yu Mao, Jérôme Gilles. Non rigid geometric distortions correction - Application to atmospheric turbulence stabilization. Inverse Problems & Imaging, 2012, 6 (3) : 531-546. doi: 10.3934/ipi.2012.6.531
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