新型低通二维 Mittag-Leffler 滤波器及其在图像处理中的应用

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-12-13 DOI:10.3390/fractalfract7120881

Ivo Petráš

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引用次数: 0

摘要

本文介绍了一种创新的 Mittag-Leffler 二维滤波器及其在图像处理中的应用。所提出的滤波器利用了概率密度函数中的 Mittag-Leffler 函数。它引入了三个可调节的滤波器参数，从而能够操纵曲线形状和滤波器的遗忘因子。此外，还定义了二维 Mittag-Leffler 分布，并首次将其用于图像滤波器。通过与传统滤波技术的对比分析，论文通过实例展示了所提滤波器的独特优势。此外，论文还提供了详细的实现说明，并介绍了与所提出的二维滤波器相对应的 Matlab 函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Novel Low-Pass Two-Dimensional Mittag–Leffler Filter and Its Application in Image Processing

This paper presents an innovative Mittag–Leffler two-dimensional filter and its application in image processing. The proposed filter leverages the utilization of a Mittag–Leffler function within the probability density function. It introduces three adjustable filter parameters that enable the manipulation of the curve shape and the filter’s forgetting factor. Moreover, a two-dimensional Mittag–Leffler distribution was defined and used for the first time in an image filter. By conducting a comparative analysis against conventional filtering techniques, the paper showcases the distinct advantages of the proposed filter through illustrative examples. Additionally, the paper provides detailed implementation explanations and presents the Matlab function corresponding to the proposed two-dimensional filter.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.