Damped second order flow applied to image denoising
Numerical Analysis
2019-10-01 v2 Numerical Analysis
Abstract
In this paper, we introduce a new image denoising model: the damped flow (DF), which is a second order nonlinear evolution equation associated with a class of energy functionals of image. The existence, uniqueness and regularization property of DF are proven. For the numerical implementation, based on the St\"{o}rmer-Verlet method, a discrete damped flow, SV-DDF, is developed. The convergence of SV-DDF is studied as well. Several numerical experiments, as well as a comparison with other methods, are provided to demonstrate the feasibility and effectiveness of the SV-DDF.
Cite
@article{arxiv.1806.06732,
title = {Damped second order flow applied to image denoising},
author = {George Baravdish and Olof Svensson and Mårten Gulliksson and Ye Zhang},
journal= {arXiv preprint arXiv:1806.06732},
year = {2019}
}