Fuzzy Cut Set-Based Filter for Fixed-Value Impulse Noise Reduction

  • P. S. Eliahim Jeevaraj
  • P. Shanmugavadivu
  • D. EaswaramoorthyEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)


This paper explores the efficient filter to reduce the noises in the digital images corrupted highly with the fixed-value impulse noise using fuzzy α-cut sets and median measure. The efficiency of the proposed filter is analyzed and proved that it is a high-performing fixed-value impulse noise filter qualitatively in terms of peak signal-to-noise ratio (PSNR) and mean structural similarity matrix (MSSIM) values. The human visual perception (HVP) of the filtered images is too validated the merit of the proposed method. It is also proved additionally that the proposed filter has less time complexity and assures higher degree of edge and detail preservation.


Highly corrupted images Fixed-value impulse noises Noise reduction Median filter Fuzzy α-cut sets 

MSC Classification Codes

03E72 62H35 68U10 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • P. S. Eliahim Jeevaraj
    • 1
  • P. Shanmugavadivu
    • 2
  • D. Easwaramoorthy
    • 3
    Email author
  1. 1.Department of Computer ScienceBishop Heber CollegeTiruchirappalliIndia
  2. 2.Department of Computer Science and ApplicationsThe Gandhigram Rural Institute (Deemed to be University)GandhigramIndia
  3. 3.Department of Mathematics, School of Advanced SciencesVellore Institute of TechnologyVelloreIndia

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