The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Orthonormal bases of compactly supported wavelets
Abstract
We construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity. The order of regularity increases linearly with the support width. We start by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction. The construction then follows from a synthesis of these different approaches.
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Citations
Cites
The Laplacian pyramid as a compact image code
Burt, P., & Adelson, E. (1983) · IEEE Transactions on Communications · doi:10.1109/tcom.1983.1095851 · Cited by 6,077
Cited by
The wavelet transform, time-frequency localization and signal analysis
Daubechies, I. (1990) · IEEE Transactions on Information Theory · doi:10.1109/18.57199 · Cited by 6,483
Self-citationA Parametric Texture Model Based on Joint Statistics of Complex Wavelet Coefficients
Portilla, J., & Simoncelli, E. P. (2000) · International Journal of Computer Vision · doi:10.1023/a:1026553619983 · Cited by 1,806
Sparse geometric image representations with bandelets
Le Pennec, E., & Mallat, S. (2005) · IEEE Transactions on Image Processing · doi:10.1109/tip.2005.843753 · Cited by 860
Wavelet transform domain filters: a spatially selective noise filtration technique
Xu, Y., Weaver, J. B., Healy, D. M., & Lu, J. (1994) · IEEE Transactions on Image Processing · doi:10.1109/83.336245 · Cited by 747
Petrantonakis, P. C., & Hadjileontiadis, L. J. (2010) · IEEE Transactions on Affective Computing · doi:10.1109/t-affc.2010.7 · Cited by 260
Metadata
- Authors
- Daubechies, I.
- Venue
- Communications on Pure and Applied Mathematics
- Publisher
- Wiley
- Published
- 1988-10
- Volume
- 41
- Issue
- 7
- Pages
- 909-996
- ISSN
- 0010-3640 (ISSN-L)
- 1097-0312
- OpenAlex
- W2098914003
- Cited by
- 8,190
- References
- 1
- FWCI
- 84.51
- Type
- journal article
- Language
- en
- Open access
- closed
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