Abstract
We propose a unified functional to address the restoration of turbulence-degraded images. This functional quantifies the association between a given image sequence and a candidate latent image restoration. Minimizing the functional using the alternating direction method of multipliers (ADMM) and Moreau proximity mapping leads to a general algorithmic flow. We show that various known algorithms can be derived as special cases of the general approach. Furthermore, we show that building-blocks used in turbulence recovery algorithms, such as optical flow estimation and blind deblurring, are called for by the general model. The main contribution of this work is the establishment of a unified theoretical framework for the restoration of turbulence-degraded images. It leads to novel turbulence recovery algorithms as well as to better understanding of known ones.
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References
Afonso, M.V., Bioucas-Dias, J.M., Figueiredo, M.A.T.: Fast image recovery using variable splitting and constrained optimization. IEEE Trans. Image Process. 19, 2345–2356 (2010)
Aubailly, M., Vorontsov, M.A., Carhart, G.W., Valley, M.T.: Automated video enhancement from a stream of atmospherically-distorted images: the lucky-region fusion approach. In: Proceedings of the SPIE, vol. 7463 (2009)
Carhart, G.W., Vorontsov, M.A.: Synthetic imaging: nonadaptive anisoplanatic image correction in atmospheric turbulence. Opt. Lett. 23, 745–747 (1998)
Chen, E., Haik, O., Yitzhaki, Y.: Detecting and tracking moving objects in long-distance imaging through turbulent medium. Appl. Opt. 53, 1181–1190 (2014)
Cohen, B., Avrin, V., Belitsky, M., Dinstein, I.: Generation of a restored image from a video sequence recorded under turbulence effects. Opt. Eng. 36, 3312–3317 (1997)
Combettes, P.L., Wajs, V.R.: Signal recovery by proximal forward-backward splitting. Multiscale Model. Simul. 4, 1168–1200 (2005)
Eckstein, J., Bertsekas, D.P.: On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators. Math. Program. 55, 293–318 (1992)
Elkabetz, A., Yitzhaki, Y.: Background modeling for moving object detection in long-distance imaging through turbulent medium. Appl. Opt. 53, 1132–1141 (2014)
Feller, W.: An Introduction to Probability Theory and Its Applications. Wiley, Hoboken (1968)
Fried, D.L.: Probability of getting a lucky short-exposure image through turbulence. J. Opt. Soc. Am. 68, 1651–1658 (1978)
Gadot, D., Wolf, L.: Patchbatch: a batch augmented loss for optical flow. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2016)
Gal, R., Kiryati, N., Sochen, N.A.: Progress in the restoration of image sequences degraded by atmospheric turbulence. Pattern Recogn. Lett. 48, 8–14 (2014)
Hirsch, M., Sra, S., Scholkopf, B., Harmeling, S.: Efficient filter flow for space-variant multiframe blind deconvolution. In: Computer Vision and Pattern Recognition (CVPR), pp. 607–614, June 2010
John, S., Vorontsov, M.A.: Multiframe selective information fusion from robust error estimation theory. IEEE Trans. Image Process. 14, 577–584 (2005)
Joshi, N., Cohen, M.: Seeing Mt. Rainier: lucky imaging for multi-image denoising, sharpening, and haze removal. In: Proceedings of the IEEE ICCP (2010)
Kopeika, N.S.: A System Engineering Approach to Imaging. SPIE Optical Engineering Press, Bellingham (1998)
Mao, Y., Gilles, J.: Turbulence stabilization. Proc. SPIE 8355, 83550H–83550H-7 (2012)
Roggemann, M.C., Stoudt, C.A., Welsh, B.M.: Image-spectrum signal-to-noise-ratio improvements by statistical frame selection for adaptive-optics imaging through atmospheric turbulence. Opt. Eng. 33, 3254–3264 (1994)
Shacham, O., Haik, O., Yitzhaky, Y.: Blind restoration of atmospherically degraded images by automatic best step-edge detection. Pattern Recogn. Lett. 28, 2094–2103 (2007)
Sun, D., Roth, S., Black, M.: A quantitative analysis of current practices in optical flow estimation and the principles behind them. Int. J. Comput. Vis. 106, 115–137 (2014)
Vorontsov, M.A., Carhart, G.W.: Anisoplanatic imaging through turbulent media: image recovery by local information fusion from a set of short-exposure images. J. Opt. Soc. Am. A 18, 1312–1324 (2001)
Yin, W., Osher, S., Goldfarb, D., Darbon, J.: Bregman iterative algorithms for \(l_1\)-minimization with applications to compressed sensing. SIAM J. Imaging Sci. 1, 143–168 (2008)
Zak, N.: Restoring an image of a moving object from a turbulence-distorted video. Master’s thesis, School of Electrical Engineering, Tel Aviv University, Israel (2015)
Zhu, X., Milanfar, P.: Removing atmospheric turbulence via space-invariant deconvolution. IEEE Trans. Pattern Anal. Mach. Intell. 35, 157–170 (2013)
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This research was supported in part by the Blavatnik Interdisciplinary Cyber Research Center, Tel Aviv University.
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Zon, N., Kiryati, N. (2018). Unified Functional Framework for Restoration of Image Sequences Degraded by Atmospheric Turbulence. In: Pelillo, M., Hancock, E. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2017. Lecture Notes in Computer Science(), vol 10746. Springer, Cham. https://doi.org/10.1007/978-3-319-78199-0_14
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