. Chaux, The degradation model is given by (6.11), where T is a 7 × 7 uniform blur with T = 1, and where v is a realization of a zero-mean Gaussian white noise process. The blurred image-to-noise ratio is 28.08 dB and the relative error is 12.49 dB In this example, we perform a restoration in a discrete two-dimensional version of an M -band dual-tree wavelet frame This decomposition has a redundancy factor of 2 (i.e., with the notation of Section 6.2.3 In our experiments, decompositions over 2 resolution levels are performed with M = 4 using the filter bank proposed in [Alkin, Caglar, 1995]. The function ? in Problem 6.1 is given by (6.17), where f V is the probability density function of the Gaussian noise. A solution is obtained via Algorithm 6.31 with ? n ? 1. For the representation under consideration, we derive from (6.73) that ? = 2 and we set ? n ? 0.995. The restored image, shown in Fig a significant improvement of over 3 dB in terms of signal-to-noise ratio, The original SPOT5 satellite image x is shown in Fig. 6, 2006.

D. Résultats-de, image de texture, en utilisant le seuillage bivarié et (a) données originales, (b) données bruitées, (c) la DWT pour M = 2, p.115

D. Résultats-de-débruitage-sur-un-la and M. , en utilisant le seuillage bivarié et (a) données originales, (b) données bruitées, (c) la DWT pour M = 2, p.116

?. Normalized-error-||x-n, ?. ||-/-||x, and ?. , where (i) ? n ? 1 and (? k , ? k , ? k ) ? (?, 0, 0) (dashed line) or (? k , ? k , ? k , p k ) takes on subband-adapted values (dotted line) ; (ii) ? n ? 1.99 and (? k , ? k , ? k ) ? (?, 0, 0) (solid line) or (? k , ? k , ? k , p k ) takes on subband-adapted values (dash-dot line), p.171

.. Résultats-de-débruitage-sur, pour différents SNR initiaux. La variance est supposée connue dans le haut du tableau et elle est estimée dans la partie inférieure, p.114

.. De-barbara, Comparaison des curvelets et de l'analyse en arbre dual Résultats de débruitage sur l'image, p.120

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