| J. Heijmans and J. Goutsias, "Morphology-based perfect reconstruction filter banks," in Proc. Time Frequency/Time Scale Analysis Conference, Oct. 1998. |
....a combination of the ScAT and SpAT could be a powerful signal and image analysis tool. We also intend to incorporate other non linear filters into our adaptive lifting structure (as was done with the median filter in Section 3. 4 or in the morphology based work of Heijmans and Goutsias [21]) Finally, in this paper we have only examined the potential of the new transforms for signal denoising, but they may also improve algorithm performance in other applications, such as signal compression [10] detection, and classification. Acknowledgments: Thanks to Geoff Davis and Wim Sweldens ....
J. Heijmans and J. Goutsias, "Morphology-based perfect reconstruction filter banks," in Proc. Time Frequency/Time Scale Analysis Conference, Oct. 1998.
....A very interesting account on the emergence and development of wavelet theory can be found in the monograph The World According to Wavelets by Barbara Burke Hubbard [5] Wavelet analysis is known as a linear tool. However, it is starting to be recognized that nonlinear extensions are possible [8, 10, 11, 12, 13, 15, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 40]. The lifting scheme, recently introduced by Sweldens [45, 46, 47] see also [4] for a predecessor of this scheme, known as a ladder network ) has provided a useful tool for constructing nonlinear wavelet transforms. The enormous flexibility and freedom that the lifting scheme o#ers has ....
....47] see also [4] for a predecessor of this scheme, known as a ladder network ) has provided a useful tool for constructing nonlinear wavelet transforms. The enormous flexibility and freedom that the lifting scheme o#ers has challenged researchers to develop various nonlinear wavelet transforms [8, 10, 11, 12, 13, 18, 20, 21, 22, 23, 27, 28, 29, 31, 33]. We briefly discuss some of these works in the concluding section of this report, and point out their relationship to our study. The aim of this report is twofold. First, we present an axiomatic framework to wavelettype multiresolution signal decomposition that encompasses all known linear and ....
Heijmans, H. J. A. M., and Goutsias, J. Morphology--based perfect reconstruction filter banks. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Pittsburgh, Pennsylvania, October 6-9, 1998), pp. 353--356.
....we shall consider wavelet decomposition schemes, comprising two (or more) analysis and synthesis operators at each level. In that study, we shall give particular attention to a new family of wavelets, the so called morphological wavelets. The interested reader may refer to our conference papers [10, 9] for some preliminary results. 47 ....
Heijmans, H. J. A. M., and Goutsias, J. Morphology-based perfect reconstruction filter banks. In IEEE International Symposium on Time-Frequency and Time-Scale Analysis (Pittsburgh, 1998).
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J. Heijmans and J. Goutsias, "Morphology-based perfect reconstruction filter banks," in Proc. Time Frequency/Time Scale Analysis Conference, Oct. 1998.
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