Variational Iteration Method for Image Restoration
For researchers in image restoration, this is an incremental application of an existing numerical method to a known problem.
The paper applies the Variational Iteration Method (VIM) to solve the Perona-Malik equation for image restoration, obtaining approximated solutions with error analysis. Results are comparable to existing methods.
The famous Perona-Malik (P-M) equation which was at first introduced for image restoration has been solved via various numerical methods. In this paper we will solve it for the first time via applying a new numerical method called the Variational Iteration Method (VIM) and the correspondent approximated solutions will be obtained for the P-M equation with regards to relevant error analysis. Through implementation of our algorithm we will access some effective results which are deserved to be considered as worthy as the other solutions issued by the other methods.