Optimization of parameters for image denoising algorithm pertaining to generalized Caputo-Fabrizio fractional operator

• Published in: EURASIP journal on image and video processing Vol. 2024; no. 1; pp. 29 - 17
• Main Authors: Gaur, S., Khan, A. M., Suthar, D. L.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 13.09.2024; Springer Nature B.V; SpringerOpen
• Subjects: Algorithms; Biometrics; Engineering; Filter; Fractional calculus; Fractional kernel; Generalized fractional operator; Image denoising; Image enhancement; Image Processing and Computer Vision; Noise measurement; Noise reduction; Operators (mathematics); Optimization; Parameters; Pattern Recognition; Signal to noise ratio; Signal,Image and Speech Processing; Visual aspects; Visual perception; Visual perception driven algorithms; 68U10; Fractional kernel; Filter; 94A08; 345A08; Generalized fractional operator; Optimization; Image denoising
• ISSN: 1687-5281; 1687-5176; 1687-5281
• DOI: 10.1186/s13640-024-00632-5

The aim of the present paper is to optimize the values of different parameters related to the image denoising algorithm involving Caputo Fabrizio fractional integral operator of non-singular type with the Mittag-Leffler function in generalized form. The algorithm aims to find the coefficients of a kernel to remove the noise from images. The optimization of kernel coefficients are done on the basis of different numerical parameters like Mean Square Error (MSE), Peak Signal-to-Noise Ratio (PSNR), Structure Similarity Index measure (SSIM) and Image Enhancement Factor (IEF). The performance of the proposed algorithm is investigated through above-mentioned numeric parameters and visual perception with the other prevailed algorithms. Experimental results demonstrate that the proposed optimized kernel based on generalized fractional operator performs favorably compared to state of the art methods. The uniqueness of the paper is to highlight the optimized values of performance parameters for different values of fractional order. The novelty of the presented work lies in the development of a kernel utilizing coefficients from a fractional integral operator, specifically involving the Mittag-Leffler function in a more generalized form.