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Three Stage Weighted-Mean Filter Using Euclidean Distance

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Proceedings of 7th ASRES International Conference on Intelligent Technologies (ICIT 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 685))

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Abstract

This paper presents a three-stage weighted-mean (TSWM) filter to restore digital images corrupted by high noise density impulsive noise. The proposed filter evaluates the weighted mean of non-noisy pixels (NFP) in \(3\times 3\) or \(5\times 5\) grid where the respective weights taken are proportional to their euclidean distance from the center pixel. The first step functions as a pre-processing step where the noisy pixels with the highest information or least uncertainty are denoised first using the two adjacent pixels in a straight line. And in the third stage, edge cases such as corners and boundaries are handled. The performance comparison of this algorithm is done using a \(512\times 512\) grey-scale Lena image. The experiment results show on an average increment of 2.54 dB and 0.15 dB of Peak signal to noise ratio for high (10% to 90%) and extremely high (90% to 98%) noise densities over popular denoising filters.

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References

  1. Srinivasan K, Ebenezer D (2007) A new fast and efficient decision-based algorithm for removal of high-density impulse noises. IEEE Signal Process Lett 14(3):189–192

    Article  Google Scholar 

  2. Esakkirajan S, Veerakumar T, Subramanyam AN, PremChand C (2011) Removal of high density salt and pepper noise through modified decision based unsymmetric trimmed median filter. IEEE Signal Process Lett 18(5):287–290

    Article  Google Scholar 

  3. Garg B, Arya K (2020) Four stage median-average filter for healing high density salt and pepper noise corrupted images. Multimedia Tools Appl 79(43):32305–32329

    Article  Google Scholar 

  4. Faragallah OS, Ibrahem HM (2016) Adaptive switching weighted median filter framework for suppressing salt-and-pepper noise. AEU-Int J Electr Commun 70(8):1034–1040

    Article  Google Scholar 

  5. Deivalakshmi S, Palanisamy P (2010) Improved tolerance based selective arithmetic mean filter for detection and removal of impulse noise. In: 2010 5th International conference on industrial and information systems, pp 309–313 IEEE

    Google Scholar 

  6. Garg B (2020) Restoration of highly salt-and-pepper-noise-corrupted images using novel adaptive trimmed median filter. SIViP 14(8):1555–1563

    Article  Google Scholar 

  7. Satti P, Sharma N, Garg B (2020) Min-max average pooling based filter for impulse noise removal. IEEE Signal Process Lett 27:1475–1479

    Article  Google Scholar 

  8. Vijaykumar V, Mari GS, Ebenezer D (2014) Fast switching based median-mean filter for high density salt and pepper noise removal. AEU-Int J Electron Commun 68(12):1145–1155

    Article  Google Scholar 

  9. Veerakumar T, Esakkirajan S, Vennila I (2014) Recursive cubic spline interpolation filter approach for the removal of high density salt-and-pepper noise. SIViP 8(1):159–168

    Article  Google Scholar 

  10. Erkan U, Gökrem L (2018) A new method based on pixel density in salt and pepper noise removal. Turk J Electr Eng Comput Sci 26(1):162–171

    Article  Google Scholar 

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Correspondence to Mohit Soni .

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Soni, M., Arya, K.V., Garg, B., Petrlik, I. (2023). Three Stage Weighted-Mean Filter Using Euclidean Distance. In: Arya, K.V., Tripathi, V.K., Rodriguez, C., Yusuf, E. (eds) Proceedings of 7th ASRES International Conference on Intelligent Technologies. ICIT 2022. Lecture Notes in Networks and Systems, vol 685. Springer, Singapore. https://doi.org/10.1007/978-981-99-1912-3_24

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