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A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising

Abstract: 

A Wiener filtering scheme in graph Fourier domain is proposed for
improving image denoising performance achieved by various spectral
graph based denoising methods. The proposed Wiener filter is
estimated by using graph Fourier coefficients of the noisy image after
they are processed for denoising, to further improve the already
achieved denoising accuracy as a post-processing step. It can be estimated
from and applied to the entire image, or can be used patchwise
in a locally adaptive manner. Our results indicate that the proposed
step yields consistent accuracy improvement for different choices of
weighted adjacency and graph Laplacian matrices used in computing
the graph Fourier transform and for different processing methods
used to denoise obtained transform coefficients. We obtain higher
peak signal-to-noise ratio values than the BM3D method for some
images.
Index Terms— Signal processing on graphs, spectral graph
methods, graph Fourier transform, image denoising, Wiener filter.

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Paper Details

Authors:
Ali Can Yagan, Mehmet Tankut Ozgen
Submitted On:
5 November 2016 - 8:54am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Ali Can Yagan
Paper Code:
1022
Document Year:
2016
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Poster

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[1] Ali Can Yagan, Mehmet Tankut Ozgen, "A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising", IEEE SigPort, 2016. [Online]. Available: http://sigport.org/1262. Accessed: Nov. 19, 2018.
@article{1262-16,
url = {http://sigport.org/1262},
author = {Ali Can Yagan; Mehmet Tankut Ozgen },
publisher = {IEEE SigPort},
title = {A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising},
year = {2016} }
TY - EJOUR
T1 - A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising
AU - Ali Can Yagan; Mehmet Tankut Ozgen
PY - 2016
PB - IEEE SigPort
UR - http://sigport.org/1262
ER -
Ali Can Yagan, Mehmet Tankut Ozgen. (2016). A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising. IEEE SigPort. http://sigport.org/1262
Ali Can Yagan, Mehmet Tankut Ozgen, 2016. A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising. Available at: http://sigport.org/1262.
Ali Can Yagan, Mehmet Tankut Ozgen. (2016). "A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising." Web.
1. Ali Can Yagan, Mehmet Tankut Ozgen. A Spectral Graph Wiener Filter in Graph Fourier Domain for Improved Image Denoising [Internet]. IEEE SigPort; 2016. Available from : http://sigport.org/1262