Damped second order flow applied to image denoising

G. Baravdish; O. Svensson; M. Gulliksson; Y. Zhang

doi:10.1093/imamat/hxz027

Damped second order flow applied to image denoising

G. Baravdish, O. Svensson, M. Gulliksson, Y. Zhang^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

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 Störmer-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.

源语言	英语
页（从-至）	1082-1111
页数	30
期刊	IMA Journal of Applied Mathematics
卷	84
期	6
DOI	https://doi.org/10.1093/imamat/hxz027
出版状态	已出版 - 27 12月 2019

访问文件

10.1093/imamat/hxz027

其它文件与链接

链接到 Scopus 的出版物

引用此

Baravdish, G., Svensson, O., Gulliksson, M., & Zhang, Y. (2019). Damped second order flow applied to image denoising. IMA Journal of Applied Mathematics, 84(6), 1082-1111. https://doi.org/10.1093/imamat/hxz027

@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",

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",

}

TY - JOUR

T1 - Damped second order flow applied to image denoising

AU - Baravdish, G.

AU - Svensson, O.

AU - Gulliksson, M.

AU - Zhang, Y.

PY - 2019/12/27

Y1 - 2019/12/27

N2 - 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 Störmer-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.

AB - 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 Störmer-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.

KW - Störmer-Verlet

KW - damped Hamiltonian system

KW - image denoising

KW - inverse problems

KW - nonlinear flow

KW - p-Laplace

KW - p-parabolic

KW - regularization

KW - symplectic method

UR - http://www.scopus.com/inward/record.url?scp=85082102558&partnerID=8YFLogxK

U2 - 10.1093/imamat/hxz027

DO - 10.1093/imamat/hxz027

M3 - Article

AN - SCOPUS:85082102558

SN - 0272-4960

VL - 84

SP - 1082

EP - 1111

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

IS - 6

ER -

Damped second order flow applied to image denoising

摘要

访问文件

其它文件与链接

指纹

引用此