Abstract

We present a deep learning approach for restoring images degraded by atmospheric optical turbulence. We consider the case of terrestrial imaging over long ranges with a wide field-of-view. This produces an anisoplanatic imaging scenario where turbulence warping and blurring vary spatially across the image. The proposed turbulence mitigation (TM) method assumes that a sequence of short-exposure images is acquired. A block matching (BM) registration algorithm is applied to the observed frames for dewarping, and the resulting images are averaged. A convolutional neural network (CNN) is then employed to perform spatially adaptive restoration. We refer to the proposed TM algorithm as the block matching and CNN (BM-CNN) method. Training the CNN is accomplished using simulated data from a fast turbulence simulation tool capable of producing a large amount of degraded imagery from declared truth images rapidly. Testing is done using independent data simulated with a different well-validated numerical wave-propagation simulator. Our proposed BM-CNN TM method is evaluated in a number of experiments using quantitative metrics. The quantitative analysis is made possible by virtue of having truth imagery from the simulations. A number of restored images are provided for subjective evaluation. We demonstrate that the BM-CNN TM method outperforms the benchmark methods in the scenarios tested.

Highlights

  • The acquisition of long-range images is often affected by atmospheric optical turbulence

  • The quantitative error metric values are averaged over the 100 validation images with ignore border of 5 pixels on all sides to exclude any border artifacts

  • The block matching (BM)-Wiener filter (WF) in Fig. 13(e) is sharper than the LE followed by restoration using a WF (LE-WF) because the of the reduced turbulence motion blurring from the registration

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Summary

Introduction

The acquisition of long-range images is often affected by atmospheric optical turbulence. There have been a number of turbulence simulators for anisoplanatic imaging presented in the literature.[2,19,24,25,26,27] Simulation has the advantage of being able to produce a virtually unlimited amount of degraded images with corresponding ground truth for nearly any scenario These simulated data can be used for training machine learning methods and for quantitative performance analysis of any TM methods. The larger networks often require transfer learning where pretrained networks are imported and refined with further training Such transfer learning is not necessary for FIFNet. To the best of our knowledge, there is only one prior study in the literature that has been done using CNNs to perform TM.[39] In that work, they show that a CNN can restore images affected by turbulence.

Turbulence Characterization
Anisoplanatic Numerical Wave-Propagation Simulation
Fast Warping Simulation
Simulator Comparison
Turbulence Mitigation
Block Matching and Wiener Filtering
Block Matching and Convolutional Neural Network
Experimental Results
Quantitative Results
Qualitative Image Results
Conclusions
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