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P.L. Dragotti and M. Vetterli, "Wavelet footprints: theory, algorithms, and applications," IEEE Trans. on Sig. Proc., vol. 51, pp. 1306-1323, 2003.

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Approximation And Compression Of Piecewise Smooth Images .. - Romberg, Wakin, Baraniuk (2003)   (Correct)

.... C piecewise smooth image segments Xseg (s) X1 (s) Hc X2 (s) 1 Hc) X1 (s) X2 (s) 0, 1] Hc Horizon class (4) using a dictionary composed of wavelets and wedgeprints wedgelets projected onto fine wavelet scales (a concept similar to the wavelet footprints of [11]) The combined dictionary is simple enough that a simple coder based on this dictionary achieves near optimal asymptotic rate distortion performance R . Moreover, given an image segment, we can find a suitable representation using a fast dynamic program. These results serve as a ....

P. L. Dragotti and M. Vetterli, "Wavelet footprints: Theory, algorithms, and applications," IEEE Trans. Signal Processing, vol. 51, no. 5, May 2003.


Softening the Multiscale Product Method for Adaptive Noise.. - Ge, Mirchandani (2003)   (2 citations)  (Correct)

....by Xu et al. 22] The reason we adopt the name multiscale product method here is that it explicitly points to the use of correlation across scales. We shall discuss the connections between this method and Donoho Johnstone s hard thresholding idea. The recently proposed wavelet footprints [7] technique attempts to combine the detection and representation of singularities via precise modelling of the discontinuities. Inspired by these observations, we propose in our method a robust noise power estimator as also a soft thresholding like technique. The latter avoids the extraction of ....

....by computing the sum of the modulus of its wavelet coefficients inside the cone. By using a carefully selected threshold, they select wavelet coefficients for reconstruction that correspond to the regular part of the signal. The recently introduced notion footprints by Dragotti and Vetterli [7] attempts to combine both the detection and the representation of singularities. Footprints are traces left by time domain singularities in the wavelet domain. Thus a footprint is a vector containing all the significant wavelet coefficients generated by a singularity. In signal denoising, as a ....

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P. L. Dragotti, and M. Vetterli, "Wavelet footprints: Theory, algorithms, and applications ," IEEE Trans. Signal Processing, vol. 51, no. 5, pp. 1306-1323, May 2003.


Predicting Wavelet Coefficients over Edges Using Estimates Based .. - Guleryuz (2004)   (Correct)

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P.L. Dragotti and M. Vetterli, "Wavelet footprints: theory, algorithms, and applications," IEEE Trans. on Sig. Proc., vol. 51, pp. 1306-1323, 2003.

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