Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions (Articolo in rivista)

Type
Label
  • Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.cam.2012.03.025 (literal)
Alternative label
  • Donatelli Marco; Mastronardi Nicola (2012)
    Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions
    in Journal of computational and applied mathematics; Elsevier BV, Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Donatelli Marco; Mastronardi Nicola (literal)
Pagina inizio
  • 3992 (literal)
Pagina fine
  • 4005 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S0377042712001537 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 236 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 14 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 16 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Scienza e Alta Tecnologia, Universita` dell'Insubria, Via Valleggio 11, 22100, Como, Italy. Istituto per le Applicazioni del Calcolo ``M. Picone'', sede di Bari, Consiglio Nazionale delle Ricerche, Via G. Amendola, 122/D, I-70126 Bari, Italy. (literal)
Titolo
  • Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions (literal)
Abstract
  • The problem of reconstructing signals and images from degraded ones is considered in this paper. The latter problem is formulated as a linear system whose coefficient matrix models the unknown point spread function and the right hand side represents the observed image. Moreover, the coefficient matrix is very ill-conditioned, requiring an additional regularization term. Different boundary conditions can be proposed. In this paper antireflective boundary conditions are considered. Since both sides of the linear system have uncertainties and the coefficient matrix is highly structured, the Regularized Structured Total Least Squares approach seems to be the more appropriate one to compute an approximation of the true signal/image. With the latter approach the original problem is formulated as an highly nonconvex one, and seldom can the global minimum be computed. It is shown that Regularized Structured Total Least Squares problems for antireflective boundary conditions can be decomposed into single variable subproblems by a discrete sine transform. Such subproblems are then transformed into one-dimensional unimodal realvalued minimization problems which can be solved globally. Some numerical examples show the effectiveness of the proposed approach. (literal)
Editore
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Autore CNR di
Prodotto
Editore di
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Insieme di parole chiave di
data.CNR.it