Variational Bayesian Blind Image Deconvolution: A review

Ruiz, Pablo; Zhou, Xu; Mateos, Javier; Molina, Rafael; Katsaggelos, Aggelos K.

doi:10.1016/j.dsp.2015.04.012

Title: Variational Bayesian Blind Image Deconvolution: A review

Abstract

In this study, we provide a review of the recent literature on Bayesian Blind Image Deconvolution (BID) methods. We believe that two events have marked the recent history of BID: the predominance of Variational Bayes (VB) inference as a tool to solve BID problems and the increasing interest of the computer vision community in solving BID problems. VB inference in combination with recent image models like the ones based on Super Gaussian (SG) and Scale Mixture of Gaussians (SMG) representations have led to the use of very general and powerful tools to provide clear images from blurry observations. In the provided review emphasis is paid on VB inference and the use of SG and SMG models with coverage of recent advances in sampling methods. We also provide examples of current state of the art BID methods and discuss problems that very likely will mark the near future of BID.

Authors:

Ruiz, Pablo ^[1];

^[2]; Mateos, Javier ^[1]; Molina, Rafael ^[1];

^[3]

Univ. de Granada, Granada (Spain)
Beihang Univ., Beijing (China)
Northwestern Univ., Evanston, IL (United States)

Publication Date:: Mon May 04 00:00:00 EDT 2015

Research Org.:: Northwestern Univ., Evanston, IL (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA), Office of Nonproliferation and Verification Research and Development (NA-22); USDOE

OSTI Identifier:: 1487825

Alternate Identifier(s):: OSTI ID: 1556195

Grant/Contract Number:: NA0002520

Resource Type:: Accepted Manuscript

Journal Name:: Digital Signal Processing

Additional Journal Information:: Journal Volume: 47; Journal Issue: C; Journal ID: ISSN 1051-2004

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; Blind deconvolution; Image deblurring; Image restoration; Variational Bayesian; Bayesian modeling

Citation Formats


                    Ruiz, Pablo, Zhou, Xu, Mateos, Javier, Molina, Rafael, and Katsaggelos, Aggelos K. Variational Bayesian Blind Image Deconvolution: A review.  United States: N. p., 2015. 
Web.  doi:10.1016/j.dsp.2015.04.012.

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                    Ruiz, Pablo, Zhou, Xu, Mateos, Javier, Molina, Rafael, & Katsaggelos, Aggelos K. Variational Bayesian Blind Image Deconvolution: A review.  United States.  https://doi.org/10.1016/j.dsp.2015.04.012

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                    Ruiz, Pablo, Zhou, Xu, Mateos, Javier, Molina, Rafael, and Katsaggelos, Aggelos K. Mon .  
"Variational Bayesian Blind Image Deconvolution: A review".  United States.  https://doi.org/10.1016/j.dsp.2015.04.012.  https://www.osti.gov/servlets/purl/1487825.

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@article{osti_1487825,

  title        = {Variational Bayesian Blind Image Deconvolution: A review},

  author       = {Ruiz, Pablo and Zhou, Xu and Mateos, Javier and Molina, Rafael and Katsaggelos, Aggelos K.},

  abstractNote = {In this study, we provide a review of the recent literature on Bayesian Blind Image Deconvolution (BID) methods. We believe that two events have marked the recent history of BID: the predominance of Variational Bayes (VB) inference as a tool to solve BID problems and the increasing interest of the computer vision community in solving BID problems. VB inference in combination with recent image models like the ones based on Super Gaussian (SG) and Scale Mixture of Gaussians (SMG) representations have led to the use of very general and powerful tools to provide clear images from blurry observations. In the provided review emphasis is paid on VB inference and the use of SG and SMG models with coverage of recent advances in sampling methods. We also provide examples of current state of the art BID methods and discuss problems that very likely will mark the near future of BID.},

  doi          = {10.1016/j.dsp.2015.04.012},

  journal      = {Digital Signal Processing},

  number       = C,

  volume       = 47,

  place        = {United States},

  year         = {Mon May 04 00:00:00 EDT 2015},

  month        = {Mon May 04 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referencing / citing this record:

Fluorescence imaging reversion using spatially variant deconvolution
journal, December 2019

Anastasopoulou, Maria; Gorpas, Dimitris; Koch, Maximilian
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Title: Variational Bayesian Blind Image Deconvolution: A review

Abstract

Citation Formats

A Variational Approach for Bayesian Blind Image Deconvolution journal, August 2004

Blind Deconvolution Using a Variational Approach to Parameter, Image, and Blur Estimation journal, January 2006

Nonlinear total variation based noise removal algorithms journal, November 1992

Variational Bayesian Blind Deconvolution Using a Total Variation Prior journal, January 2009

Sparse Bayesian blind image deconvolution with parameter estimation journal, November 2012

Variational Bayesian Image Restoration Based on a Product of $t$-Distributions Image Prior journal, October 2008

Variational Bayesian Image Restoration With a Product of Spatially Weighted Total Variation Image Priors journal, February 2010

Bayesian deconvolution of Bernoulli-Gaussian processes journal, July 1993

Robust Estimation of Motion Blur Kernel Using a Piecewise-Linear Model journal, January 2014

Blind Image Deblurring Using Spectral Properties of Convolution Operators journal, December 2014

Understanding Blind Deconvolution Algorithms journal, December 2011

Enhancing Bayesian Estimators for Removing Camera Shake: Enhancing Bayesian Estimators journal, March 2013

Variational Bayesian Methods For Multimedia Problems journal, June 2014

Markov chain Monte Carlo methods with applications to signal processing journal, January 2001

A boundary condition based deconvolution framework for image deblurring journal, May 2014

Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images journal, November 1984

Enhanced sampling schemes for MCMC based blind Bernoulli–Gaussian deconvolution journal, April 2011

Blind Deconvolution of Sparse Pulse Sequences Under a Minimum Distance Constraint: A Partially Collapsed Gibbs Sampler Method journal, June 2012

Parameter Estimation in TV Image Restoration Using Variational Distribution Approximation journal, March 2008

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers book, January 2011

Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction journal, December 2010

Nonconvex TV$^q$-Models in Image Restoration: Analysis and a Trust-Region Regularization--Based Superlinearly Convergent Solver journal, January 2013

Optimality Conditions and a Smoothing Trust Region Newton Method for NonLipschitz Optimization journal, January 2013

Scene Text Deblurring Using Text-Specific Multiscale Dictionaries journal, February 2015

Efficient Patch-Wise Non-Uniform Deblurring for a Single Image journal, October 2014

Richardson-Lucy Deblurring for Scenes under a Projective Motion Path journal, August 2011

Image deblurring using inertial measurement sensors journal, July 2010

Correction of Spatially Varying Image and Video Motion Blur Using a Hybrid Camera journal, May 2009

Blind nonuniform deblur under projection motion path journal, July 2013

Non-uniform Deblurring for Shaken Images journal, October 2011

Deblurring Shaken and Partially Saturated Images journal, May 2014

Restoration of Poissonian Images Using Alternating Direction Optimization journal, December 2010

Robust Multichannel Blind Deconvolution via Fast Alternating Minimization journal, April 2012

Robust blind motion deblurring using near-infrared flash image journal, November 2013

Bayesian Blind Deconvolution From Differently Exposed Image Pairs journal, June 2010

Space-variant blur deconvolution and denoising in the dual exposure problem journal, October 2013

Simultaneous recursive displacement estimation and restoration of noisy-blurred image sequences journal, January 1995

Video-based non-uniform object motion blur estimation and deblurring journal, June 2012

Blind motion deblurring using optical flow journal, January 2015

Removing Atmospheric Turbulence via Space-Invariant Deconvolution journal, January 2013

Non-Uniform Deblurring in HDR Image Reconstruction journal, October 2013

Image deblurring in smartphone devices using built-in inertial measurement sensors journal, January 2013

A multiple input image restoration approach journal, September 1990

Multichannel blind deconvolution of spatially misaligned images journal, July 2005

Fluorescence imaging reversion using spatially variant deconvolution journal, December 2019

Video stabilization in atmosphere turbulent conditions based on the Laplacian-Riesz pyramid journal, January 2016

A Variational Approach for Bayesian Blind Image Deconvolution
journal, August 2004

Blind Deconvolution Using a Variational Approach to Parameter, Image, and Blur Estimation
journal, January 2006

Nonlinear total variation based noise removal algorithms
journal, November 1992

Variational Bayesian Blind Deconvolution Using a Total Variation Prior
journal, January 2009

Sparse Bayesian blind image deconvolution with parameter estimation
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Variational Bayesian Image Restoration Based on a Product of $t$-Distributions Image Prior
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Variational Bayesian Image Restoration With a Product of Spatially Weighted Total Variation Image Priors
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Bayesian deconvolution of Bernoulli-Gaussian processes
journal, July 1993

Robust Estimation of Motion Blur Kernel Using a Piecewise-Linear Model
journal, January 2014

Blind Image Deblurring Using Spectral Properties of Convolution Operators
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Understanding Blind Deconvolution Algorithms
journal, December 2011

Enhancing Bayesian Estimators for Removing Camera Shake: Enhancing Bayesian Estimators
journal, March 2013

Variational Bayesian Methods For Multimedia Problems
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Markov chain Monte Carlo methods with applications to signal processing
journal, January 2001

A boundary condition based deconvolution framework for image deblurring
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Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
journal, November 1984

Enhanced sampling schemes for MCMC based blind Bernoulli–Gaussian deconvolution
journal, April 2011

Blind Deconvolution of Sparse Pulse Sequences Under a Minimum Distance Constraint: A Partially Collapsed Gibbs Sampler Method
journal, June 2012

Parameter Estimation in TV Image Restoration Using Variational Distribution Approximation
journal, March 2008

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
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Fast Nonconvex Nonsmooth Minimization Methods for Image Restoration and Reconstruction
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Nonconvex TV$^q$-Models in Image Restoration: Analysis and a Trust-Region Regularization--Based Superlinearly Convergent Solver
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Optimality Conditions and a Smoothing Trust Region Newton Method for NonLipschitz Optimization
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Scene Text Deblurring Using Text-Specific Multiscale Dictionaries
journal, February 2015

Efficient Patch-Wise Non-Uniform Deblurring for a Single Image
journal, October 2014

Richardson-Lucy Deblurring for Scenes under a Projective Motion Path
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Image deblurring using inertial measurement sensors
journal, July 2010

Correction of Spatially Varying Image and Video Motion Blur Using a Hybrid Camera
journal, May 2009

Blind nonuniform deblur under projection motion path
journal, July 2013

Non-uniform Deblurring for Shaken Images
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Deblurring Shaken and Partially Saturated Images
journal, May 2014

Restoration of Poissonian Images Using Alternating Direction Optimization
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Robust Multichannel Blind Deconvolution via Fast Alternating Minimization
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Robust blind motion deblurring using near-infrared flash image
journal, November 2013

Bayesian Blind Deconvolution From Differently Exposed Image Pairs
journal, June 2010

Space-variant blur deconvolution and denoising in the dual exposure problem
journal, October 2013

Simultaneous recursive displacement estimation and restoration of noisy-blurred image sequences
journal, January 1995

Video-based non-uniform object motion blur estimation and deblurring
journal, June 2012

Blind motion deblurring using optical flow
journal, January 2015

Removing Atmospheric Turbulence via Space-Invariant Deconvolution
journal, January 2013

Non-Uniform Deblurring in HDR Image Reconstruction
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Image deblurring in smartphone devices using built-in inertial measurement sensors
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A multiple input image restoration approach
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Fluorescence imaging reversion using spatially variant deconvolution
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Video stabilization in atmosphere turbulent conditions based on the Laplacian-Riesz pyramid
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