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Abstract: In this paper we present the basic idea behind the lifting scheme, a new construction of biorthogonal wavelets which does not use the Fourier transform. In contrast with earlier papers we introduce lifting purely from a wavelet transform point of view and only consider the wavelet basis functions in a later stage. We show how lifting leads to a faster, fully in-place implementation of the wavelet transform. Moreover, it can be used in the construction of second generation wavelets, wavelets... (Update)
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BibTeX entry: (Update)
W. Sweldens, "The lifting scheme: A new philosophy in biorthogonal wavelet constructions," in Wavelet Applications in Signal and Image Processing III (A. F. Laine and M. Unser, eds.), pp. 68--79, Proc. SPIE 2569, 1995. http://citeseer.ist.psu.edu/article/sweldens95lifting.html More
@inproceedings{ sweldensdidlifting,
author = "W. Sweldens",
title = "The Lifting Scheme: {A} New Philosophy in Biorthogonal Wavelet Constructions",
pages = "68--79",
url = "citeseer.ist.psu.edu/article/sweldens95lifting.html" }
Citations (may not include all citations):770 Orthonormal bases of compactly supported wavelets (context) - Daubechies - 1988
423 Bi-orthogonal bases of compactly supported wavelets (context) - Cohen, Daubechies et al. - 1992
401 An Introduction to Wavelets (context) - Chui - 1992
254 Multiresolution approximations and wavelet orthonormal bases.. (context) - Mallat - 1989
211 Society for Industrial and Applied Mathematics (context) - Daubechies, on et al. - 1992
199 The lifting scheme: A custom-design construction of biorthog.. (context) - Sweldens - 1994
157 The lifting scheme: A construction of second generation wave.. - Sweldens - 1995
66 Spherical wavelets: Efficiently representing functions on th.. (context) - Schroder, Sweldens - 1995
11 Spherical wavelets: Texture processing (context) - Schroder, Sweldens - 1995
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