Journal of Mathematical Imaging and Vision

, Volume 11, Issue 2, pp 161–177 | Cite as

Removing Noise and Preserving Details with Relaxed Median Filters

  • Abdessamad Ben Hamza
  • Pedro L. Luque-Escamilla
  • José Martínez-Aroza
  • Ramón Román-Roldán

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.

median type-filters statistical properties nonlinear filtering 

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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Abdessamad Ben Hamza
    • 1
  • Pedro L. Luque-Escamilla
    • 2
  • José Martínez-Aroza
    • 1
  • Ramón Román-Roldán
    • 3
  1. 1.Dept. de Matemática AplicadaUniversidad de GranadaSpain
  2. 2.Dept. de Ingeniería Mecánica 4 MineraUniversidad deJaenSpain
  3. 3.Dept. de Física AplicadaUniversidad de GranadaSpain

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