May 19, 2024
Behzad Ghanbari

Behzad Ghanbari

Academic rank: Associate professor
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Education: Ph.D in Applied Mathematics
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Research

Title
A new application of fractional Atangana–Baleanu derivatives: Designing ABC-fractional masks in image processing
Type Article
Keywords
Numerical approximation; Image processing; Image denoising; Fractional masks; Atangana–Baleanu fractional integration
Researchers Behzad Ghanbari، Abdon Atangana

Abstract

Based on a new definition for derivative and integral of fractional-order, several frac-tional masks have been presented for the use of image denoising. In each method, theprocess involves constructing a square and then applying it to all the correspondingblocksinthenoisyimage.Wehavemeasuredthedenoisingperformanceofourproposedmasks by employing some known indexes. They are the peak signal-to-noise ratio(PSNR), ENTROPY, and SSIM. The obtained experimental results show that our proposedmasks are computationally efficient, and their performances are compatible with otherstandard and fractional smoothing filters.