Mittag-Leffler 2D filter for image processing

Generalized low-pass two-dimensional filter with three adjustable parameters
Updated 14 Dec 2023

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Mittag-Leffler 2D filter with exponential-type forgetting
function [img_filt] = ML_filter_2D(img, sigma, alpha, beta)
Inputs: img = an image to be filtered or blured
sigma = standard deviation
alpha, beta = parameters of the Mittag-Leffler function
Output: img_filt = filtered image given in variable img
Please note that for running demo the well-know image of Lena
is necessary. Format PNG is used and file name is 'Lena.png'.
For more details about the function and help please write:
>> help ML_filter_2D
See also published paper with examples:
Petras Ivo: Novel Low-Pass Two-Dimensional Mittag–Leffler Filter and Its Application in Image Processing. Fractal and Fractional. 2023; 7(12):881.

Cite As

Ivo Petras (2024). Mittag-Leffler 2D filter for image processing (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2022a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes

Added citation to published paper.


Add a link to the manuscript with examples.


Changed the title.


Added image of Lena.