@article{2ab152782da8494eb7e2d77a72500cec,
title = "Damped second order flow applied to image denoising",
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 an 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 DF, 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 efficiency of SV-DDF.",
keywords = "St{\"o}rmer-Verlet, damped Hamiltonian system, image denoising, inverse problems, nonlinear flow, p-Laplace, p-parabolic, regularization, symplectic method",
author = "G. Baravdish and O. Svensson and M. Gulliksson and Y. Zhang",
note = "Publisher Copyright: {\textcopyright} 2019 The Author(s) 2019. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.",
year = "2019",
month = dec,
day = "27",
doi = "10.1093/imamat/hxz027",
language = "English",
volume = "84",
pages = "1082--1111",
journal = "IMA Journal of Applied Mathematics",
issn = "0272-4960",
publisher = "Oxford University Press",
number = "6",
}