The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Zero-crossings of a wavelet transform
Abstract
The completeness, stability, and application to pattern recognition of a multiscale representation based on zero-crossings is discussed. An alternative projection algorithm is described that reconstructs a signal from a zero-crossing representation, which is stabilized by keeping the value of the wavelet transform integral between each pair of consecutive zero-crossings. The reconstruction algorithm has a fast convergence and each iteration requires O(N log/sup 2/ (N)) computation for a signal of N samples. The zero-crossings of a wavelet transform define a representation which is particularly well adapted for solving pattern recognition problems. As an example, the implementation and results of a coarse-to-fine stereo-matching algorithm are described.>
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Citations
Cites
Marr, D., & Hildreth, E. (1980) · Proceedings of the Royal Society of London. Series B. Biological Sciences · doi:10.1098/rspb.1980.0020 · Cited by 6,510
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
Koenderink, J. J. (1984) · Biological Cybernetics · doi:10.1007/bf00336961 · Cited by 2,452
Cited by
Characterization of signals from multiscale edges
Mallat, S., & Zhong, S. (1992) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.142909 · Cited by 3,200
Self-citationThe principles of software QRS detection
Kohler, B.-U., Hennig, C., & Orglmeister, R. (2002) · IEEE Engineering in Medicine and Biology Magazine · doi:10.1109/51.993193 · Cited by 1,242
Efficient Iris Recognition by Characterizing Key Local Variations
Ma, L., Tan, T., Wang, Y., & Zhang, D. (2004) · IEEE Transactions on Image Processing · doi:10.1109/tip.2004.827237 · Cited by 931
Noise reduction using an undecimated discrete wavelet transform
Lang, M., Guo, H., Odegard, J. E., Burrus, C. S., & Wells, R. O. (1996) · IEEE Signal Processing Letters · doi:10.1109/97.475823 · Cited by 484
Evaluation of the forearm EMG signal features for the control of a prosthetic hand
Boostani, R., & Moradi, M. H. (2003) · Physiological Measurement · doi:10.1088/0967-3334/24/2/307 · Cited by 391
Metadata
- Authors
- Mallat, S.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1991-07
- Volume
- 37
- Issue
- 4
- Pages
- 1019-1033
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2105542305
- Cited by
- 704
- References
- 3
- FWCI
- 23.79
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mallat, S. (1991). Zero-crossings of a wavelet transform. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.86995
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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