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

Abstract

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.

Keywords

• image processing
• Mittag–Leffler function
• Gaussian filter
• Mittag–Leffler distribution
• Mittag–Leffler 2D filter