Hybrid variational model based on alternating direction method for image restoration

Image Restoration based on A Hybrid Model by Alternating Direction Optimization

In order to better preserve the edge features and also refrain them from the staircasing effect in smooth regions, this paper investigates a hybrid model for restoring the blurred images with additive Gaussian noise and an effective iterative scheme based on alternating direction method is employed to solve the minimization problem suggested by us with two regularization terms. Numerical experi...

A Robust Alternating Direction Method for Constrained Hybrid Variational Deblurring Model

In this work, a new constrained hybrid variational deblurring model is developed by combining the non-convex firstand second-order total variation regularizers. Moreover, a box constraint is imposed on the proposed model to guarantee high deblurring performance. The developed constrained hybrid variational model could achieve a good balance between preserving image details and alleviating ringi...

Double regularization medical CT image blind restoration reconstruction based on proximal alternating direction method of multipliers

To solve the problem of CT image degradation, a double regularization CT image blind restoration reconstruction method was proposed. The objective function including both a clear image and point spread function was established. To avoid the over-smoothing phenomenon and protect the detail, the objective function includes two constraint regularization terms. They are total variation (TV) and wav...

An inexact alternating direction method with SQP regularization for the structured variational inequalities

In this paper, we propose an inexact alternating direction method with square quadratic proximal  (SQP) regularization for  the structured variational inequalities. The predictor is obtained via solving SQP system  approximately  under significantly  relaxed accuracy criterion  and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriat...

A hybrid convex variational model for image restoration