Convergence Analysis of a Finite Difference Scheme for the Gradient Flow associated with the ROF Model

Convergence Analysis of a Finite Difference Scheme for the Gradient Flow associated with the ROF Model

We present a convergence analysis of a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fatemi model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of t...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2013-02
Hauptverfasser: Hong, Qianying, Ming-Jun, Lai, Wang, Jingyue
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Finite difference method
Gradient flow
Iterative algorithms
Iterative methods
Mathematical analysis
Noise reduction
Time dependence
Viscosity
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We present a convergence analysis of a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fatemi model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of the iterative algorithm. Finally computational experiments are shown to demonstrate the convergence of the finite difference scheme. An application for image denoising is given.
ISSN:2331-8422