Images Restoration Based on a New Optimal Parameter to Conjugate Gradient Method

  • Yousif Ali Mohammed Department of Mathematics, College of Computers Sciences and Mathematics, University of Mosul, IRAQ
  • Basim A. Hassan Department of Mathematics, College of Computers Sciences and Mathematics University of Mosul, IRAQ https://orcid.org/0000-0003-3510-9818
Keywords: New Formula for Gradient, Convergence property, Impulse Noise Reduction from Images

Abstract

Image denoising plays a vital role in numerous image processing applications. This research presents a novel two-phase conjugate gradient method tailored for mitigating impulse noise. The approach leverages a center-weighted median filter, which adaptively identifies noise-affected pixels and applies the conjugate gradient technique to restore them. The method focuses on minimizing a specific functional that maintains edge integrity while reducing noise candidates. One of the key advantages of this technique is its descent-based search mechanism, with the possibility of achieving global convergence through the Wolfe line search conditions. Experimental evaluations demonstrate the method’s effectiveness in removing impulse noise using a spectral conjugate gradient approach.
Published
2025-10-08
How to Cite
Mohammed, Y. A., & Hassan, B. A. (2025). Images Restoration Based on a New Optimal Parameter to Conjugate Gradient Method . Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2799
Section
Research Articles