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Wavelet burst accumulation for turbulence mitigation

[+] Author Affiliations
Jérôme Gilles

San Diego State University, Department of Mathematics and Statistics, San Diego, California 92182-7720, United States

Stanley Osher

University of California Los Angeles, Department of Mathematics, Los Angeles, California 90095, United States

J. Electron. Imaging. 25(3), 033003 (May 13, 2016). doi:10.1117/1.JEI.25.3.033003
History: Received February 25, 2016; Accepted April 21, 2016
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Abstract.  We investigate the extension of the recently proposed weighted Fourier burst accumulation (FBA) method into the wavelet domain. The purpose of FBA is to reconstruct a clean and sharp image from a sequence of blurred frames. This concept lies in the construction of weights to amplify dominant frequencies in the Fourier spectrum of each frame. The reconstructed image is then obtained by taking the inverse Fourier transform of the average of all processed spectra. We first suggest replacing the rigid registration step used in the original algorithm with a nonrigid registration in order to process sequences acquired through atmospheric turbulence. Second, we propose to work in a wavelet domain instead of the Fourier one. This leads us to the construction of two types of algorithms. Finally, we propose an alternative approach to replace the weighting idea by an approach promoting the sparsity in the used space. Several experiments are provided to illustrate the efficiency of the proposed methods.

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Citation

Jérôme Gilles and Stanley Osher
"Wavelet burst accumulation for turbulence mitigation", J. Electron. Imaging. 25(3), 033003 (May 13, 2016). ; http://dx.doi.org/10.1117/1.JEI.25.3.033003


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