Performance of restarted homotopy perturbation method for TV-based image denoising problem
type: Item
instance of: scholarly article
title: Performance of restarted homotopy perturbation method for TV-based image denoising problem
zbMATH Open document ID: 1395.94034
DOI: 10.1155/2015/207541
author: Yu Du Han
author: Jae Heon Yun
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We first propose a restarted homotopy perturbation method (RHPM) for solving a nonlinear PDE problem which repeats HPM process by computing only the first few terms instead of computing infinite terms, and then we present an application of RHPM to TV- (Total Variation-) based image denoising problem. The main difficulty in applying RHPM to the nonlinear denoising problem is settled by using binomial series techniques. We also provide finite difference schemes for numerical implementation of RHPM. Lastly, numerical experiments for several test images are carried out to demonstrate the feasibility, efficiency, and reliability of RHPM by comparing the performance of RHPM with that of existing TM and recently proposed RHAM methods.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 6925769
Wikidata QID: Q59117611
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/207541
OpenAlex ID: W1627062702
cites work: Adapting to Unknown Smoothness via Wavelet Shrinkage
cites work: On High-Order Denoising Models and Fast Algorithms for Vector-Valued Images
cites work: Image Processing and Analysis
cites work: Nonlinear total variation based noise removal algorithms
cites work: Multigrid Algorithm for High Order Denoising
cites work: Image denoising using mean curvature of image surface
cites work: Homotopy method for a mean curvature-based denoising model
cites work: Higher-order TV methods -- enhancement via Bregman iteration
cites work: Image recovery via total variation minimization and related problems
cites work: A new fast algorithm for constrained four-directional total variation image denoising problem
cites work: Homotopy perturbation technique
cites work: The homotopy perturbation method for nonlinear oscillators with discontinuities.
cites work: Application of homotopy perturbation method to nonlinear wave equations
cites work: Homotopy perturbation method for solving boundary value problems
cites work: SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
cites work: A restarted iterative homotopy analysis method for two nonlinear models from image processing
cites work: Homotopy Analysis Method in Nonlinear Differential Equations
description: scientific article; zbMATH DE number 6925769