A robust iterative algorithm for image restoration

Abstract We present a new image restoration method by combining iterative VanCittert algorithm with noise reduction modeling. Our approach enables decoupling between deblurring and denoising during the restoration process, so allows any well-established noise reduction operator to be implemented in...

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Main Authors: Yuewei Liu, Weiping Lu
Format: Article
Language:English
Published: SpringerOpen 2017-08-01
Series:EURASIP Journal on Image and Video Processing
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13640-017-0201-6
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spelling doaj-fd497d73b35a4b4ca03b3c8876b9e5222020-11-24T21:46:03ZengSpringerOpenEURASIP Journal on Image and Video Processing1687-52812017-08-01201711910.1186/s13640-017-0201-6A robust iterative algorithm for image restorationYuewei Liu0Weiping Lu1School of Mathematics and Statistics, Lanzhou UniversitySchool of Engineering and Physical Sciences, Heriot Watt UniversityAbstract We present a new image restoration method by combining iterative VanCittert algorithm with noise reduction modeling. Our approach enables decoupling between deblurring and denoising during the restoration process, so allows any well-established noise reduction operator to be implemented in our model, independent of the VanCittert deblurring operation. Such an approach has led to an analytic expression for error estimation of the restored images in our method as well as simple parameter setting for real applications, both of which are hard to attain in many regularization-based methods. Numerical experiments show that our method can achieve good balance between structure recovery and noise reduction, and perform close to the level of the state of the art method and favorably compared to many other methods.http://link.springer.com/article/10.1186/s13640-017-0201-6Image restorationIll-posed problemIterative cost functionRegularized gradientNoise reduction filterResidual optimization
collection DOAJ
language English
format Article
sources DOAJ
author Yuewei Liu
Weiping Lu
spellingShingle Yuewei Liu
Weiping Lu
A robust iterative algorithm for image restoration
EURASIP Journal on Image and Video Processing
Image restoration
Ill-posed problem
Iterative cost function
Regularized gradient
Noise reduction filter
Residual optimization
author_facet Yuewei Liu
Weiping Lu
author_sort Yuewei Liu
title A robust iterative algorithm for image restoration
title_short A robust iterative algorithm for image restoration
title_full A robust iterative algorithm for image restoration
title_fullStr A robust iterative algorithm for image restoration
title_full_unstemmed A robust iterative algorithm for image restoration
title_sort robust iterative algorithm for image restoration
publisher SpringerOpen
series EURASIP Journal on Image and Video Processing
issn 1687-5281
publishDate 2017-08-01
description Abstract We present a new image restoration method by combining iterative VanCittert algorithm with noise reduction modeling. Our approach enables decoupling between deblurring and denoising during the restoration process, so allows any well-established noise reduction operator to be implemented in our model, independent of the VanCittert deblurring operation. Such an approach has led to an analytic expression for error estimation of the restored images in our method as well as simple parameter setting for real applications, both of which are hard to attain in many regularization-based methods. Numerical experiments show that our method can achieve good balance between structure recovery and noise reduction, and perform close to the level of the state of the art method and favorably compared to many other methods.
topic Image restoration
Ill-posed problem
Iterative cost function
Regularized gradient
Noise reduction filter
Residual optimization
url http://link.springer.com/article/10.1186/s13640-017-0201-6
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