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Issue		ESAIM: COCV Volume 5, 2000
Page(s)		445 - 475
DOI		10.1051/cocv:2000117

DOI: 10.1051/cocv:2000117

ESAIM: COCV, September 2000, Vol. 5, 445-475

Image deblurring, spectrum interpolation and application to satellite imaging

Sylvain Durand
CMLA, ENS Cachan, 61 avenue du président Wilson, 94235 Cachan Cedex, France; (sdurand@cmla.ens-cachan.fr)
LAMFA, Université de Picardie Jules Verne, 33 rue Saint Leu, 80039 Amiens Cedex 1, France.

François Malgouyres
CMLA, ENS Cachan, 61 avenue du président Wilson, 94235 Cachan Cedex, France; (malgouy@cmla.ens-cachan.fr)

Bernard Rougé
CNES, DGAT/SH/QTIS, 18 avenue E. Belin, 31401 Toulouse Cedex 4, France; (rouge@cnes.fr)

Received February 14, 2000.

Abstract: This paper deals with two complementary methods in noisy image deblurring: a nonlinear shrinkage of wavelet-packets coefficients called FCNR and Rudin-Osher-Fatemi's variational method. The FCNR has for objective to obtain a restored image with a white noise. It will prove to be very efficient to restore an image after an invertible blur but limited in the opposite situation. Whereas the Total Variation based method, with its ability to reconstruct the lost frequencies by interpolation, is very well adapted to non-invertible blur, but that it tends to erase low contrast textures. This complementarity is highlighted when the methods are applied to the restoration of satellite SPOT images.

Keywords and phrases: Image restoration, deblurring, wavelet-packets, Total Variation, spectrum interpolation.

AMS Subject Classification: 68U10

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