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Image Restoration Using a Universal GMM Learning and Adaptive Wiener Filter

Nobumoto YAMANE, Motohiro TABUCHI, Yoshitaka MORIKAWA

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Summary :

In this paper, an image restoration method using the Wiener filter is proposed. In order to bring the theory of the Wiener filter consistent with images that have spatially varying statistics, the proposed method adopts the locally adaptive Wiener filter (AWF) based on the universal Gaussian mixture distribution model (UNI-GMM) previously proposed for denoising. Applying the UNI-GMM-AWF for deconvolution problem, the proposed method employs the stationary Wiener filter (SWF) as a pre-filter. The SWF in the discrete cosine transform domain shrinks the blur point spread function and facilitates the modeling and filtering at the proceeding AWF. The SWF and UNI-GMM are learned using a generic training image set and the proposed method is tuned toward the image set. Simulation results are presented to demonstrate the effectiveness of the proposed method.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.10 pp.2560-2571
Publication Date
2009/10/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E92.A.2560
Type of Manuscript
PAPER
Category
Digital Signal Processing

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