A Decision-Based Modified Total Variation Diffusion Method for Impulse Noise Removal

A Decision-Based Modified Total Variation Diffusion Method for Impulse Noise Removal

Impulsive noise removal usually employs median filtering, switching median filtering, the total variation L1 method, and variants. These approaches however often introduce excessive smoothing and can result in extensive visual feature blurring and thus are suitable only for images with low density noise. A new method to remove noise is proposed in this paper to overcome this limitation, which d...

Directional Total Generalized Variation Regularization for Impulse Noise Removal

A New Total Variation Method for Multiplicative Noise Removal

where α1 and α2 are positive regularization parameters. The main advantage of using the new data fitting term ∑n2 i=1 ( [z]i + [g]iei ) is that its second derivative with respect to [z]i is equal to [g]i e−[z]i , therefore it implies that the new data fitting term is strictly convex for all z. Here we add a fitting term ||z −w||2 in the new minimization method. We can interpret the total variat...

Nonlinear total variation based noise removal algorithms

A constrained optimization type of numerical algorithm for removing noise from images is presented. The total variation of the image is minimized subject to constraints involving the statistics of the noise. The constraints are imposed using Lagrange multipliers. The solution is obtained using the gradient-projection method. This amounts to solving a time dependent partial differential equation...

Improved decision-based detail-preserving variational method for removal of random-valued impulse noise

The authors propose an improved decision-based detail-preserving variational method (DPVM) for removal of random-valued impulse noise. In the denoising scheme, adaptive centre weighted median filter (ACWMF) is first ameliorated by employing the variable window technique to improve its detection ability in highly corrupted images. Based on the improved ACWMF, a fast iteration strategy is used to...