Comparison of image restoration algorithms in the context of horizontal-path imaging

We have looked at applying various image restoration techniques used in astronomy to the problem of imaging through horizontal-path turbulence. The input data comes from an imaging test over a 2.5km path. The point-spread function (PSF) is estimated directly from the data and supplied to the deconvolution algorithms. We show the usefulness of using this approach, together with the analytical form of the turbulent PSF due to D. Fried, for reference-less imaging scenarios.

[1]  B. Frieden Restoring with maximum likelihood and maximum entropy. , 1972, Journal of the Optical Society of America.

[2]  Fionn Murtagh,et al.  Image restoration with noise suppression using the wavelet transform , 1994 .

[3]  William H. Richardson,et al.  Bayesian-Based Iterative Method of Image Restoration , 1972 .

[4]  Y. Yitzhaky,et al.  Turbulence strength estimation from an arbitrary set of atmospherically degraded images. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  P. Green Bayesian reconstructions from emission tomography data using a modified EM algorithm. , 1990, IEEE transactions on medical imaging.

[6]  Eric Thiébaut INTRODUCTION TO IMAGE RECONSTRUCTION AND INVERSE PROBLEMS , .

[7]  J. Conan,et al.  MISTRAL: a myopic edge-preserving image restoration method, with application to astronomical adaptive-optics-corrected long-exposure images. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  G. Marchi,et al.  Adaptive optics solutions for turbulence mitigation in different scenarios , 2011, Optical Engineering + Applications.

[9]  Mark J. Shensa,et al.  The discrete wavelet transform: wedding the a trous and Mallat algorithms , 1992, IEEE Trans. Signal Process..

[10]  J. D. Shelton,et al.  Transverse spectral filtering and Mellin transform techniques applied to the effect of outer scale on tilt and tilt anisoplanatism , 1993 .

[11]  Robert K. Tyson Principles of Adaptive Optics , 1991 .

[12]  Ken D. Sauer,et al.  A generalized Gaussian image model for edge-preserving MAP estimation , 1993, IEEE Trans. Image Process..

[13]  Szymon Gladysz,et al.  Extended object reconstruction in adaptive-optics imaging: the multiresolution approach , 2012, ArXiv.

[14]  Mikhail A. Vorontsov,et al.  Automated video enhancement from a stream of atmospherically-distorted images: the lucky-region fusion approach , 2009, Optical Engineering + Applications.

[15]  L. Zanni,et al.  Efficient deconvolution methods for astronomical imaging: algorithms and IDL-GPU codes , 2012, 1210.2258.

[16]  L. Lucy An iterative technique for the rectification of observed distributions , 1974 .

[17]  David H. Frakes,et al.  Improved motion estimation for restoring turbulence-distorted video , 2012, Defense, Security, and Sensing.

[18]  Alexander M. J. van Eijk,et al.  Estimating turbulence in images , 2010, Optical Engineering + Applications.

[19]  A Tikhonov,et al.  Solution of Incorrectly Formulated Problems and the Regularization Method , 1963 .

[20]  Laurent Demanet,et al.  Fast Discrete Curvelet Transforms , 2006, Multiscale Model. Simul..

[21]  Mikhail S. Belen'kii,et al.  Turbulence-induced edge image waviness: theory and experiment , 2001, SPIE Defense + Commercial Sensing.

[22]  Claudia S. Huebner Software-based turbulence mitigation of short exposure image data with motion detection and background segmentation , 2011, Remote Sensing.

[23]  O. von der Lühe,et al.  Estimating Fried’s parameter from a time series of an arbitrary resolved object imaged through atmospheric turbulence , 1984 .

[24]  Jason D. Schmidt,et al.  Anisoplanatism in airborne laser communication. , 2008, Optics express.

[25]  D. Fried Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short Exposures , 1966 .