M.N. Do and M. Vetterli, "Framing pyramids," IEEE Transactions on Signal Processing, vol. 51, no. 9, pp. 2329--2342, Sept. 2003. Home/Search Document Details and Download
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Frame Reconstruction Of The Laplacian Pyramid - Minh Do And (2001) (1 citation) Self-citation (Do Vetterli) (Correct)
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M. N. Do and M. Vetterli, "Framing pyramids," IEEE Trans. Signal Proc., 2001, submitted.
Frame Reconstruction Of The Laplacian Pyramid - Do, Vetterli (2001) (1 citation) Self-citation (Do Vetterli) (Correct)
....Fig. 2. We then turn the problem around by asking for which filters such an algorithm is indeed an inverse or pseudo inverse. This has the same flavor as the filter design problem for perfect reconstruction filter banks. The following proposition provides an answer to our question. Proposition 2 ([8]) 1. The reconstruction shown in Figure 2 is an im,erse transform of the LP if and only if two filters H and G are biorthogonal with respect to the sampling lattice M, which means the upper branch of the LP (GH) is a projector, or HG = I. Furthermore, that reconstruction is the pseudo immerse if ....
....5: to minimize the residual liTas: itll. As mentioned before, the optimal linear so lution to this problem is the pseudo inverse of T. Using this as the measurement for the performance in reconstruction, the following result states that REC 2 always performs better than REC 1. Proposition 3 ([8]) Assume that H and G are biorthogonal filters. Let 5: and 5:2 be the results of reconstruction from noisy LP coefficients it using REC 1 and REC 2, respectively. Then we have itll itll, where equality holds if and only if it = O. 5. MULTILEVEL LAPLACIAN PYRAMIDS We now consider the ....
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M.N. Do and M. Vetterli, "Framing pyramids," 1EEE Trans. Signal Proc., 2001, submitted.
An Improved Pyramid For Spatially Scalable Video Coding - Flierl, Vandergheynst (2005) (Correct)
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M.N. Do and M. Vetterli, "Framing pyramids," IEEE Transactions on Signal Processing, vol. 51, no. 9, pp. 2329--2342, Sept. 2003.
Inter-Resolution Transform For Spatially Scalable Video Coding - Flierl, Vandergheynst (2004) (Correct)
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M.N. Do and M. Vetterli, "Framing pyramids," IEEE Transactions on Signal Processing, vol. 51, no. 9, pp. 2329--2342, Sept. 2003.
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