Work

An application of exponential smoothing technique in image restoration

Year: 2024

Type: article

Abstract: In this study, a new smoothing technique based on the exponential function is proposed. A smoothing algorithm for minimizing the total variation model of energy is designed by using a new exponential smoothing function. A smoothing algorithm is combined with gradient descent algorithms with different line search techniques. The convergence of the algorithms have been theoretically proven. The algorithms are applied to some test problems and numerical results are presented. The obtained experimental results are compared with the results obtained by using hyperbolic smoothing functions and standard total variation (TV) approaches. The numerical results show that the proposed algorithms are promising and have remarkable advantages over competing algorithms.

Source: Mathematical Foundations of Computing

DOI: 10.3934/mfc.2024041

Authors: Ahmet Sahiner, Mostafa Maslouhi, Nurullah Yilmaz

Institutions: Université Ibn-Tofail, Süleyman Demirel Üniversitesi

Language: English

Topic: Image and Signal Denoising Methods

Subfield: Computer Vision and Pattern Recognition

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403469299

FWCI: 0.144

Cites: 28

Cited by: 1

Related to: 10