A new image denoising model utilizing the conformable fractional calculus for multiplicative noise

Ibrahim, Rabha Waell (2020) A new image denoising model utilizing the conformable fractional calculus for multiplicative noise. SN Applied Sciences, 2 (1). p. 32. ISSN 2523-3971

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Official URL: https://doi.org/10.1007/s42452-019-1718-3

Abstract

Reducing noise from images is an essential structure of the image processing study. Noises can arise with images through achievement on diffusion. The existence of noise can delay the right operation of these images for many applications such as satellite and medical images. Reducing denois in images multiplicatively (DIM) has been developed and modified by many researchers during the past few years. DIM can destroy almost all data of the original image, especially the texture of images. Our aim is to present a new technique to solve this problem. The technique is based on a new fractional calculus called the conformable fractional calculus (CFC). This type of calculus has advantages because of its formula involves a controller, which can be applied to complex problems such as DIM. The proposed structures of CFC windows are given by four masks suggested for x and y directions. On four directional angles, a convolution operational product of the input image pixels with a CFC mask window has been completed. The visual observation and peak signal-to-noise ratio with Root Mean Square Error are employed for measurements. The experiments showed that the skillful filtering outcomes are indicated high score than some well known filers such as Gaussian filter, Sobel edge filter, Canny edge filter and gray-level co-occurrence matrix. Compering is illustrated as well with newly researches. © 2019, Springer Nature Switzerland AG.

Item Type: Article
Uncontrolled Keywords: Conformable calculus; Fractional calculus; Fractional mask; Fractional operator; Gamma function; Image denoising; Multiplicative noise
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Mr Jasny Razali
Date Deposited: 01 Mar 2021 03:52
Last Modified: 01 Mar 2021 03:52
URI: http://eprints.um.edu.my/id/eprint/24733

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