Homotopy Perturbation Method for Image Restoration and Denoising
Computer Vision and Pattern Recognition
2010-08-17 v1 Numerical Analysis
Analysis of PDEs
Numerical Analysis
Abstract
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 Homotopy Perturbation Method (HMP) 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.
Cite
@article{arxiv.1008.2579,
title = {Homotopy Perturbation Method for Image Restoration and Denoising},
author = {Keyvan Yahya and Jafar Biazar and Hossein Azari and Pouyan Rafiei Fard},
journal= {arXiv preprint arXiv:1008.2579},
year = {2010}
}
Comments
submitted for publication in ICCESSE 2010 : "International Conference on Computer, Electrical, Systems, Science and Engineering", Amsterdam, The Netherlands