The use of the Laplacian of a properly constructed graph for denoising images has attracted a lot of attention in the last years. Recently, a way to use this instrument for image deblurring has been proposed. Even though the previously proposed method was able to provide extremely accurate reconstructions, it had several limitations, namely it was only applicable when periodic boundary conditions were employed, the regularization parameter had to be hand-tuned, and only convex regularization terms were allowed. In this paper, we propose two automatic methods that do not need the tuning of any parameter and that can be used for different imaging problems. Moreover, thanks to the projection into properly constructed subspaces of fairly small dimension, the proposed algorithms can be used for solving large scale problems.

Graph Laplacian in ℓ2- ℓqregularization for image reconstruction

Buccini A.
;
Donatelli M.
2021-01-01

Abstract

The use of the Laplacian of a properly constructed graph for denoising images has attracted a lot of attention in the last years. Recently, a way to use this instrument for image deblurring has been proposed. Even though the previously proposed method was able to provide extremely accurate reconstructions, it had several limitations, namely it was only applicable when periodic boundary conditions were employed, the regularization parameter had to be hand-tuned, and only convex regularization terms were allowed. In this paper, we propose two automatic methods that do not need the tuning of any parameter and that can be used for different imaging problems. Moreover, thanks to the projection into properly constructed subspaces of fairly small dimension, the proposed algorithms can be used for solving large scale problems.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2136570
 Attenzione

L'Ateneo sottopone a validazione solo i file PDF allegati

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 0
social impact