Extra parameters for conjugate gradient method for removing impulse noise images

Abstract

In most applications, denoising a photograph is essential for most image processing processes. In this study, a conjugate gradient method for impulse noise reduction is presented, which is based on a two-phase system. The noise candidates are found with an adaptive (center-weighted) median filter, and then restored with the CG method, which entails the minimization of an edge-preserving regularization functional. The fact that the search direction created at each iteration is descending is one of the most appealing characteristics of the suggested technique. Its global convergence result might be obtained if a strong Wolfe line search is used. The spectral conjugate gradient approach for impulse noise reduction is demonstrated through numerical experiments.

Subject Classification:

• Primary 93A30
• Secondary 49K15

Keywords:

• Extra Parameters gradient method
• Convergence property
• Image restoration problems