MODIFIED Z-ITERATIVE METHOD FOR SIGNAL ENHANCEMENT AND IMAGE DEBLURRING

Year 2025, Volume: 24 Issue: 48, 534 - 551, 18.12.2025

Hüseyin Gül , Esra Yolacan

https://doi.org/10.55071/ticaretfbd.1668029

Abstract

This study introduces a novel iterative method for nonexpansive mappings in uniform convex Banach spaces. Weak and strong convergence theorems are derived under specific assumptions. To substantiate the theoretical findings, numerical examples are presented, and the fixed point of the nonexpansive mapping is approximated computationally using Matlab R2016a. In addition, the paper discusses the applications of the proposed method in the fields of image deblurring and signal enhancement. Image deblurring techniques aim to reduce the blurriness in an image and restore it to a sharper and more distinct form, whereas signal enhancement involves reducing noise to improve the clarity of a signal, thereby enhancing the signal-to-noise ratio. The main contribution of this work lies in the development of a novel algorithm for both image deblurring and signal enhancement, providing an effective approach to address these challenges.

Keywords

Fixed points , iterative method , image deblurring , signal enhancement.

SİNYAL GELİŞTİRME VE GÖRÜNTÜ BULANIKLIĞINI GİDERME İÇİN DEĞİŞTİRİLMİŞ Z-İTERATİF YÖNTEMİ

Abstract

Bu çalışma, düzgün dışbükey Banach uzaylarında genişlemeyen eşlemeler için yeni bir yinelemeli yöntem sunmaktadır. Zayıf ve güçlü yakınsama teoremleri belirli varsayımlar altında türetilmiştir. Teorik bulguları desteklemek için sayısal örnekler sunulmuş ve genişlemeyen eşlemenin sabit noktası Matlab R2016a kullanılarak hesaplamalı olarak yaklaşık olarak hesaplanmıştır. Ek olarak, makalede önerilen yöntemin görüntü bulanıklığını giderme ve sinyal iyileştirme alanlarındaki uygulamaları tartışılmaktadır. Görüntü bulanıklığını giderme teknikleri, bir görüntüdeki bulanıklığı azaltmayı ve daha keskin ve daha belirgin bir forma geri getirmeyi amaçlarken, sinyal iyileştirme, bir sinyalin netliğini iyileştirmek için gürültüyü azaltmayı ve böylece sinyal-gürültü oranını iyileştirmeyi içerir. Bu çalışmanın temel katkısı, hem görüntü bulanıklığını giderme hem de sinyal iyileştirme için yeni bir algoritmanın geliştirilmesinde yatmaktadır ve bu zorlukların ele alınması için etkili bir yaklaşım sağlamaktadır.

Keywords

Sabit noktalar , yinelemeli yöntem , görüntü bulanıklığı giderme , sinyal iyileştirme.

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