Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion

  • Bollt E
  • Chartrand R
  • Esedõlu S
 et al. 
  • 12

    Readers

    Mendeley users who have this article in their library.
  • 35

    Citations

    Citations of this article.

Abstract

We introduce variants of the variational image denoising method proposed by Blomgren et al. (In: Numerical Analysis 1999 (Dundee), pp. 43-67. Chapman \& Hall, Boca Raton, FL, 2000), which interpolates between total-variation denoising and isotropic diffusion denoising. We study how parameter choices affect results and allow tuning between TV denoising and isotropic diffusion for respecting texture on one spatial scale while denoising features assumed to be noise on finer spatial scales. Furthermore, we prove existence and (where appropriate) uniqueness of minimizers. We consider both L (2) and L (1) data fidelity terms.

Author-supplied keywords

  • Graduated adaptive image denoising
  • Isotropic diffusion
  • Total variation

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Erik M. Bollt

  • Rick Chartrand

  • Selim Esedõlu

  • Pete Schultz

  • Kevin R. Vixie

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free