Hölderian regularity-based image interpolation
LEGRAND, Pierrick
Artificial Evolution and Fractals [COMPLEX]
Institut de Mathématiques de Bordeaux [IMB]
Artificial Evolution and Fractals [COMPLEX]
Institut de Mathématiques de Bordeaux [IMB]
LEGRAND, Pierrick
Artificial Evolution and Fractals [COMPLEX]
Institut de Mathématiques de Bordeaux [IMB]
< Réduire
Artificial Evolution and Fractals [COMPLEX]
Institut de Mathématiques de Bordeaux [IMB]
Langue
en
Communication dans un congrès
Ce document a été publié dans
ICASSP 06, International Conference on Acoustics, Speech, and Signal Processing, ICASSP 06, International Conference on Acoustics, Speech, and Signal Processing, ICASSP 06, International Conference on Acoustics, Speech, and Signal Processing, 2006, Toulouse. 2006, vol. 3, p. 852-855
IEEE
Résumé en anglais
We consider the problem of interpolating a signal in IRd known at a given resolution. In our approach, the signal is assumed to belong to a given (large) class of signals. This class is characterized by local regularity ...Lire la suite >
We consider the problem of interpolating a signal in IRd known at a given resolution. In our approach, the signal is assumed to belong to a given (large) class of signals. This class is characterized by local regularity constraints, that can be described by a certain inter-scale behaviour of their wavelet coefficients. These constraints allow to predict the scale n coefficients from the ones at lower scales. We investigate some properties of this interpolation scheme. In particular, we give the Holder regularity of the refined signal, and present some asymptotic properties of the method. Finally, numerical experiments are presented. Both the theoretical and numerical results show that our regularity-based scheme allows to obtain good quality interpolated images.< Réduire
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