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Removing Noise and Preserving Details with Relaxed Median Filters

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Abstract

In this paper, a median based filter called relaxed median filter is proposed. The filter is obtained by relaxing the order statistic for pixel substitution. Noise attenuation properties as well as edge and line preservation are analyzed statistically. The trade-off between noise elimination and detail preservation is widely analyzed. It is shown that relaxed median filters preserve details better than the standard median filter, and remove noise better than other median type filters.

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Authors and Affiliations

  1. Dept. de Matemática Aplicada, Universidad de Granada, Spain

    Abdessamad Ben Hamza & José Martínez-Aroza

  2. Dept. de Ingeniería Mecánica 4 Minera, Universidad de, Jaen, Spain

    Pedro L. Luque-Escamilla

  3. Dept. de Física Aplicada, Universidad de Granada, Spain

    Ramón Román-Roldán

Authors
  1. Abdessamad Ben Hamza
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  2. Pedro L. Luque-Escamilla
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  3. José Martínez-Aroza
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  4. Ramón Román-Roldán
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Hamza, A.B., Luque-Escamilla, P.L., Martínez-Aroza, J. et al. Removing Noise and Preserving Details with Relaxed Median Filters. Journal of Mathematical Imaging and Vision 11, 161–177 (1999). https://doi.org/10.1023/A:1008395514426

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  • DOI: https://doi.org/10.1023/A:1008395514426

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