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Optimal Weights Mixed Filter for removing mixture of Gaussian and impulse noises

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  • Qiyu Jin
  • Ion Grama
  • Quansheng Liu

Abstract

In this paper we consider the problem of restoration of a image contaminated by a mixture of Gaussian and impulse noises. We propose a new statistic called ROADGI which improves the well-known Rank-Ordered Absolute Differences (ROAD) statistic for detecting points contaminated with the impulse noise in this context. Combining ROADGI statistic with the method of weights optimization we obtain a new algorithm called Optimal Weights Mixed Filter (OWMF) to deal with the mixed noise. Our simulation results show that the proposed filter is effective for mixed noises, as well as for single impulse noise and for single Gaussian noise.

Suggested Citation

  • Qiyu Jin & Ion Grama & Quansheng Liu, 2017. "Optimal Weights Mixed Filter for removing mixture of Gaussian and impulse noises," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-18, July.
    • Handle: RePEc:plo:pone00:0179051
    DOI: 10.1371/journal.pone.0179051
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    References listed on IDEAS

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    1. J. Polzehl & V. G. Spokoiny, 2000. "Adaptive weights smoothing with applications to image restoration," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 335-354.
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