Different Adaptive Modified Riesz Mean Filter For High-Density Salt-and-Pepper Noise Removal in Grayscale Images

Abstract

This paper proposes a new Different Adaptive Modified Riesz Mean Filter (DAMRmF), for high-density salt-and-pepper noise (SPN) removal. DAMRmF operationalizes a pixel weight function and adaptivity condition of Adaptive Median Filter (AMF). In the simulation, the proposed filter is compared with Adaptive Frequency Median Filter (AFMF), Three-Values-Weighted Method (TVWM), Unbiased Weighted Mean Filter (UWMF), Different Applied Median Filter (DAMF), Adaptive Weighted Mean Filter (AWMF), Adaptive Cesáro Mean Filter (ACmF), Adaptive Riesz Mean Filter (ARmF), and Improved Adaptive Weighted Mean Filter (IAWMF) for 20 traditional test images with noise levels from 60% to 90%. The results show that DAMRmF outperforms the state-of-the-art filters in terms of Peak Signal-to-Noise Ratio (PSNR) and Structural Similarity (SSIM) values. Moreover, DAMRmF also performs better than the state-of-the-art filters concerning mean PSNR and SSIM results. We finally discuss DAMRmF for further research

Keywords

• Salt-and-pepper noise
• Non-linear functions
• Noise removal
• Matrix algebra
• Image denoising
• Riesz mean

Gri Tonlamalı Görüntülerdeki Yüksek Yoğunluklu Tuz ve Biber Gürültüsünü Kaldırmak için Farklı Uyarlamalı Modifiye Riesz Ortalama Filtresi

Abstract

Bu makale, yüksek yoğunluklu tuz ve biber gürültüsünün (SPN) giderilmesi için yeni bir Farklı Uyarlamalı Modifiye Riesz Ortalama Filtresi (DAMRmF) önermektedir. DAMRmF, bir piksel ağırlık fonksiyonu ve Uyarlamalı Medyan Filtresinin (AMF) uyarlanabilirlik koşulunu çalıştırır. Deneysel çalışmada önerilen filtre, %60 ve %90 kadar çeşitli gürültü yoğunluklarındaki 20 geleneksel test görüntüsü için Uyarlanabilir Frekans Medyan Filtresi (AFMF), Üç Değerli Ağırlıklı Yöntem (TVWM), Tarafsız Ağırlıklı Ortalama Filtresi (UWMF), Farklı Uygulanan Medyan Filtresi (DAMF), Uyarlamalı Ağırlıklı Ortalama Filtresi (AWMF), Uyarlamalı Cesáro Ortalama Filtresi (ACmF), Uyarlamalı Riesz Ortalama Filtresi (ARmF) ve Geliştirilmiş Uyarlamalı Ağırlıklı Ortalama Filtresi (IAWMF) karşılaştırılır. Sonuçlar, DAMRmF'nin Tepe Sinyal-Gürültü Oranı (PSNR) ve Yapısal Benzerlik (SSIM) değerleri açısından son teknoloji filtrelerden daha iyi performans sergilediğini göstermektedir. Ayrıca, ortalama PSNR ve SSIM sonuçlarına göre de DAMRmF son teknoloji filtrelerden daha iyi bir performansa sahiptir. Son olarak, gelecek çalışmalar için DAMRmF'yi tartışıyoruz.

Keywords

• Tuz ve biber gürültüsü
• Lineer olmayan fonksiyonlar
• Gürültü kaldırma
• Matris cebiri
• Riesz ortalama

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