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The Lifting Scheme: A Construction of Second Generation Wavelets
Abstract
We present the lifting scheme, a simple construction of second generation wavelets; these are wavelets that are not necessarily translates and dilates of one fixed function. Such wavelets can be adapted to intervals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads to a faster, in-place calculation of the wavelet transform. Several examples are included.
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Cited by
Shuman, D. I., Narang, S. K., Frossard, P., Ortega, A., & Vandergheynst, P. (2013) · IEEE Signal Processing Magazine · doi:10.1109/msp.2012.2235192 · Cited by 4,421
Metadata
- Authors
- Sweldens, W.
- Venue
- SIAM Journal on Mathematical Analysis
- Published
- 1998-03
- Volume
- 29
- Issue
- 2
- Pages
- 511-546
- ISSN
- 0036-1410 (ISSN-L)
- 1095-7154
- OpenAlex
- W2020919250
- Cited by
- 2,207
- References
- 0
- FWCI
- 61.25
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sweldens, W. (1998). The Lifting Scheme: A Construction of Second Generation Wavelets. SIAM Journal on Mathematical Analysis. https://doi.org/10.1137/s0036141095289051
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
