SPATIALLY VARYING BLUR RECOVERY. Diagonal Approximations in the Wavelet Domain - Université Toulouse 1 Capitole Accéder directement au contenu
Rapport Année : 2012

SPATIALLY VARYING BLUR RECOVERY. Diagonal Approximations in the Wavelet Domain

Pierre Weiss

Résumé

Restoration of images degraded by spatially varying blurs is an issue of increasing importance. Many new optical systems allow to know the system point spread function at some random locations, by using microscopic luminescent structures. Given a set of impulse responses, we propose a fast and efficient algorithm to reconstruct the blurring operator in the whole image domain. Our method consists in finding an approximation of the integral operator by operators diagonal in the wavelet domain. Interestingly, this method complexity scales linearly with the image size. It is thus applicable to large 3D problems. We show that this approach might outperform previously proposed strategies such as linear interpolations (Nagy and O'Leary, 1998) or separable approximations (Zhang et al., 2007). We provide various theoretical and numerical results in order to justify the proposed methods. We also show preliminary deblurring results illustrating the relevance of our formalism.
Fichier principal
Vignette du fichier
Article_Escande_ICPRAM_2012.pdf (1.63 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00733194 , version 1 (18-09-2012)
hal-00733194 , version 2 (28-11-2012)

Identifiants

  • HAL Id : hal-00733194 , version 2

Citer

Paul Escande, Pierre Weiss, François Malgouyres. SPATIALLY VARYING BLUR RECOVERY. Diagonal Approximations in the Wavelet Domain. 2012. ⟨hal-00733194v2⟩
254 Consultations
529 Téléchargements

Partager

Gmail Facebook X LinkedIn More