Fitting local, low-dimensional parameterizations of optical turbulence modeled from optimal transport velocity vectors

Emerson, Tegan H.; Nichols, Jonathan

doi:10.1016/j.patrec.2019.10.023

Title: Fitting local, low-dimensional parameterizations of optical turbulence modeled from optimal transport velocity vectors

Abstract

This work exploits a connection between optimal transport theory and the physics of image propagation to yield a locally low-dimensional model of turbulence-corrupted imagery. Optimal transport produces an invertible, pixel-wise linear trajectories to approximate the globally nonlinear turbulence between a clean and turbulence corrupted image pair. We use the low-dimensional model to fit subsets of the optimal transport vector fields and stitch the local models into a surrogate for the global map to be used for image cleaning. Experiments are performed on laboratory generated data of beam propagation using different values of the Fried parameter (a scale measuring turbulence coherence) as well as a toy data set. The results suggest this is a fruitful direction, and first step, towards using multiple realizations of turbulence corrupted images to learn a blind surrogate for the optimal transport vector field for image cleaning.

Authors:

Emerson, Tegan H. ^[1]; Nichols, Jonathan ^[2]

Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Naval Research Lab. (NRL), Washington, DC (United States)

Publication Date:: 2019-10-21

Research Org.:: Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1604880

Report Number(s):: PNNL-SA-148925
Journal ID: ISSN 0167-8655

Grant/Contract Number:: AC05-76RL01830

Resource Type:: Accepted Manuscript

Journal Name:: Pattern Recognition Letters

Additional Journal Information:: Journal Volume: 133; Journal Issue: C; Journal ID: ISSN 0167-8655

Country of Publication:: United States

Language:: English

Subject:: 47 OTHER INSTRUMENTATION; Turbulence; Optimal transport; Velocity fields; Geometric optics

Citation Formats


                    Emerson, Tegan H., and Nichols, Jonathan. Fitting local, low-dimensional parameterizations of optical turbulence modeled from optimal transport velocity vectors.  United States: N. p., 2019. 
Web.  doi:10.1016/j.patrec.2019.10.023.

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                    Emerson, Tegan H., & Nichols, Jonathan. Fitting local, low-dimensional parameterizations of optical turbulence modeled from optimal transport velocity vectors.  United States.  https://doi.org/10.1016/j.patrec.2019.10.023

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                    Emerson, Tegan H., and Nichols, Jonathan. Mon .  
"Fitting local, low-dimensional parameterizations of optical turbulence modeled from optimal transport velocity vectors".  United States.  https://doi.org/10.1016/j.patrec.2019.10.023.  https://www.osti.gov/servlets/purl/1604880.

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@article{osti_1604880,

  title        = {Fitting local, low-dimensional parameterizations of optical turbulence modeled from optimal transport velocity vectors},

  author       = {Emerson, Tegan H. and Nichols, Jonathan},

  abstractNote = {This work exploits a connection between optimal transport theory and the physics of image propagation to yield a locally low-dimensional model of turbulence-corrupted imagery. Optimal transport produces an invertible, pixel-wise linear trajectories to approximate the globally nonlinear turbulence between a clean and turbulence corrupted image pair. We use the low-dimensional model to fit subsets of the optimal transport vector fields and stitch the local models into a surrogate for the global map to be used for image cleaning. Experiments are performed on laboratory generated data of beam propagation using different values of the Fried parameter (a scale measuring turbulence coherence) as well as a toy data set. The results suggest this is a fruitful direction, and first step, towards using multiple realizations of turbulence corrupted images to learn a blind surrogate for the optimal transport vector field for image cleaning.},

  doi          = {10.1016/j.patrec.2019.10.023},

  journal      = {Pattern Recognition Letters},

  number       = C,

  volume       = 133,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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https://doi.org/10.1016/j.patrec.2019.10.023

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Figures / Tables:

Figure 1: (left) Turbulence-free image of a coherent beam, (middle) the optimal transport velocity vector field, and (right) the turbulence-corrupted image of the beam.

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