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Locally Adaptive DCT Filtering for Signal-Dependent Noise Removal

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 042472 (2007) Cite this article

Abstract

This work addresses the problem of signal-dependent noise removal in images. An adaptive nonlinear filtering approach in the orthogonal transform domain is proposed and analyzed for several typical noise environments in the DCT domain. Being applied locally, that is, within a window of small support, DCT is expected to approximate the Karhunen-Loeve decorrelating transform, which enables effective suppression of noise components. The detail preservation ability of the filter allowing not to destroy any useful content in images is especially emphasized and considered. A local adaptive DCT filtering for the two cases, when signal-dependent noise can be and cannot be mapped into additive uncorrelated noise with homomorphic transform, is formulated. Although the main issue is signal-dependent and pure multiplicative noise, the proposed filtering approach is also found to be competing with the state-of-the-art methods on pure additive noise corrupted images.

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Authors and Affiliations

  1. Electrical and Electronics Engineering Department, Atılım University, Kızılcaşar Köyü, İncek, Ankara, 06836, Turkey

    Ruşen Öktem

  2. Institute of Signal Processing, Tampere University of Technology, Tampere, 33101, Finland

    Karen Egiazarian

  3. Department of Receivers, Transmitters and Signal Processing, National Aerospace University, 17 Chkalova Street, Kharkov, 61070, Ukraine

    Vladimir V. Lukin & Nikolay N. Ponomarenko

  4. Kalmykov Center for Radiophysical Sensing of Earth, 12 Ak. Proskury Street, Kharkov, 61085, Ukraine

    Oleg V. Tsymbal

Authors
  1. Ruşen Öktem
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  2. Karen Egiazarian
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  3. Vladimir V. Lukin
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  4. Nikolay N. Ponomarenko
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  5. Oleg V. Tsymbal
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Correspondence to Ruşen Öktem.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://doi.org/creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Öktem, R., Egiazarian, K., Lukin, V.V. et al. Locally Adaptive DCT Filtering for Signal-Dependent Noise Removal. EURASIP J. Adv. Signal Process. 2007, 042472 (2007). https://doi.org/10.1155/2007/42472

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  • DOI: https://doi.org/10.1155/2007/42472

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