Description

• Title:
  Application of homotopy perturbation method to regularization of scalar images
• Creator:
  Ma, Qin;
  Xing, Ru-Yi;
  Mei, Shu-Li
• Description:
  The homotopy perturbation method is implemented to solve nonlinear equations. Based on this method, a multi-step scheme is constructed for a kind of Hamilton-Jacobi formulations by assuming the homotopy parameter is a linear function of time. Using this multi-step scheme, a minimal surface regularization equation is solved, which designates a regularization process that doesn't smooth the image with the same weight in all the spatial directions. Some image denoisying examples illustrate its effectiveness and convenience.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 31, No 2 (June 2008); 305 - 313;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.022/8790
• Subject:
  Hamilton-Jacobi formulation;
  homotopy perturbation method;
  precise integration method;
  image regularization;
  variational iteration method;
  Primary 35F25;
  Secondary 68U10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.022
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other