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Image deblurring, spectrum interpolation and application to satellite imaging

Published online by Cambridge University Press:  15 August 2002

Sylvain Durand ,
François Malgouyres  and
Bernard Rougé
Sylvain Durand
Affiliation:
CMLA, ENS Cachan, 61 avenue du président Wilson, 94235 Cachan Cedex, France; sdurand@cmla.ens-cachan.fr. & malgouy@cmla.ens-cachan.fr. LAMFA, Université de Picardie Jules Verne, 33 rue Saint Leu, 80039 Amiens Cedex 1, France.
François Malgouyres
Affiliation:
CMLA, ENS Cachan, 61 avenue du président Wilson, 94235 Cachan Cedex, France; sdurand@cmla.ens-cachan.fr. & malgouy@cmla.ens-cachan.fr.
Bernard Rougé
Affiliation:
CNES, DGAT/SH/QTIS, 18 avenue E. Belin, 31401 Toulouse Cedex 4, France; rouge@cnes.fr.
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Abstract

This paper deals with two complementary methods in noisy imagedeblurring: a nonlinear shrinkage of wavelet-packets coefficients called FCNRand Rudin-Osher-Fatemi's variational method. The FCNR has for objective toobtain a restored image with a white noise. It will prove to be very efficientto restore an image after an invertible blur but limited in the oppositesituation. Whereas the Total Variation based method, with its ability toreconstruct the lost frequencies by interpolation, is very well adapted tonon-invertible blur, but that it tends to erase low contrast textures. Thiscomplementarity is highlighted when the methods are applied to the restorationof satellite SPOT images.

Keywords

Image restorationdeblurringwavelet-packetsTotal Variationspectrum interpolation.

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 5 , 2000 , pp. 445 - 475
Copyright
© EDP Sciences, SMAI, 2000

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