Yazar "Lakestani, Mehrdad" seçeneğine göre listele

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    Deblurring Medical Images Using a New Grünwald-Letnikov Fractional Mask
    (IOS Press BV, 2024) Satvati, Mohammad Amin; Lakestani, Mehrdad; Khamnei, Hossein Jabbari; Allahviranloo, Tofigh
    In this paper, we propose a novel image deblurring approach that utilizes a new mask based on the Grünwald-Letnikov fractional derivative. We employ the first five terms of the Grünwald-Letnikov fractional derivative to construct three masks corresponding to the horizontal, vertical, and diagonal directions. Using these matrices, we generate eight additional matrices of size 5 × 5 for eight different orientations: kπ4 , where k = 0, 1, 2, . . ., 7. By combining these eight matrices, we construct a 9 × 9 mask for image deblurring that relates to the order of the fractional derivative. We then categorize images into three distinct regions: smooth areas, textured regions, and edges, utilizing the Wakeby distribution for segmentation. Next, we determine an optimal fractional derivative value tailored to each image category to effectively construct masks for image deblurring. We applied the constructed mask to deblur eight brain images affected by blur. The effectiveness of our approach is demonstrated through evaluations using several metrics, including PSNR, AMBE, and Entropy. By comparing our results to those of other methods, we highlight the efficiency of our technique in image restoration. © 2024 Vilnius University.
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    Optical solitons of M-fractional nonlinear Schrodinger's complex hyperbolic model by generalized Kudryashov method
    (Springer, 2024) Hamali, Waleed; Manafian, Jalil; Lakestani, Mehrdad; Mahnashi, Ali M.; Bekir, Ahmet
    In this paper, the new optical wave solutions to the truncated M-fractional (2 + 1)-dimensional non-linear Schrodinger's complex hyperbolic model by utilizing the generalized Kudryashov method are obtained. The obtained solutions are in the form of trigonometric, hyperbolic and mixed form. These solutions have many applications in nonlinear optics, fiber optics, and other areas of physics and engineering where the propagation of nonlinear waves is important. Achieved solutions are verified with the use of Mathematica software. Some of the achieved solutions are also described graphically by 2-dimensional, 3-dimensional and contour plots. The gained solutions are helpful for the further development of concerned model. In the end, this technique is simple, fruitful and reliable to deal the nonlinear FPDEs. This research may fruitful for the future study of this model.