Image deblurring, spectrum interpolation and application to satellite imaging

Sylvain Durand; François Malgouyres; Bernard Rougé

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 5, page 445-475
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Durand, Sylvain, Malgouyres, François, and Rougé, Bernard. "Image deblurring, spectrum interpolation and application to satellite imaging." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 445-475. <http://eudml.org/doc/197371>.

@article{Durand2010,
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. },
author = {Durand, Sylvain, Malgouyres, François, Rougé, Bernard},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Image restoration; deblurring; wavelet-packets; Total Variation; spectrum interpolation. ; image restoration,; total variation; spectrum interpolation},
language = {eng},
month = {3},
pages = {445-475},
publisher = {EDP Sciences},
title = {Image deblurring, spectrum interpolation and application to satellite imaging},
url = {http://eudml.org/doc/197371},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Durand, Sylvain
AU - Malgouyres, François
AU - Rougé, Bernard
TI - Image deblurring, spectrum interpolation and application to satellite imaging
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 5
SP - 445
EP - 475
AB - 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.
LA - eng
KW - Image restoration; deblurring; wavelet-packets; Total Variation; spectrum interpolation. ; image restoration,; total variation; spectrum interpolation
UR - http://eudml.org/doc/197371
ER -

References

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