Generalized Fuzzy metric Spaces with an application to Colour image filtering

TL;DR

This paper introduces a generalized fuzzy n-metric space and applies it to develop new filters for reducing impulsive noise in color images, enhancing image quality during acquisition and transmission.

Contribution

It generalizes the fuzzy metric space concept and proposes novel filters based on these spaces for improved color image filtering.

Findings

New generalized fuzzy n-metric space theory developed

Proposed filters effectively reduce impulsive noise in color images

Enhanced image quality demonstrated through practical application

Abstract

Impulsive noise is a problem encountered during the acquisition and transmission of digital images. Fuzzy metrics dealing nicely with the nonlinear nature of digital images are used in vector median-based filters for noise reduction in colour and multichannel images. In this paper, We generalize the concept of Fuzzy metric space (In the sense of George and Veeramani) and introduce the notion of Generalized Fuzzy n-Metric Space. The theory for such spaces is developed and as practical application, we propose some new filters based on these Generalized fuzzy metrics for colour image processing.