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2015 | OriginalPaper | Chapter

Color Image Restoration with Fuzzy Gaussian Mixture Model Driven Nonlocal Filter

Authors : V. B. Surya Prasath, Radhakrishnan Delhibabu

Published in: Analysis of Images, Social Networks and Texts

Publisher: Springer International Publishing

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Abstract

Color image denoising is one of the classical image processing problem and various techniques have been explored over the years. Recently, nonlocal means (NLM) filter is proven to obtain good results for denoising Gaussian noise corrupted digital images using weighted mean among similar patches. In this paper, we consider fuzzy Gaussian mixture model (GMM) based NLM method for removing mixed Gaussian and impulse noise. By computing an automatic homogeneity map we identify impulse noise locations and utilize an adaptive patch size. Experimental results on mixed noise affected color images show that our scheme performs better than NLM, anisotropic diffusion and GMM-NLM over different noise levels. Comparison with respect to structural similarity, color image difference, and peak signal to noise ratio error metrics are undertaken and our scheme performs well overall without generating color artifacts.

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Footnotes
1
Color image converted using MATLAB’s rgb2gray which uses the following formula \(I_g = 0.2989 * R + 0.5870 * G + 0.1140 * B\), where R, G, B are the red, green, and blue channels of the given color image. Images are normalized to [0, 1].
 
2
For a non-diagonal symmetric matrix \(\varSigma \) there exists orthogonal matrix \(\mathcal {O}\) and diagonal matrix \(\varLambda \) such that \(\varSigma ^{-1} = \mathcal {O}\varLambda \mathcal {O}\).
 
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Metadata
Title
Color Image Restoration with Fuzzy Gaussian Mixture Model Driven Nonlocal Filter
Authors
V. B. Surya Prasath
Radhakrishnan Delhibabu
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-26123-2_13

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