The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Multifrequency channel decompositions of images and wavelet models
Abstract
The author reviews recent multichannel models developed in psychophysiology, computer vision, and image processing. In psychophysiology, multichannel models have been particularly successful in explaining some low-level processing in the visual cortex. The expansion of a function into several frequency channels provides a representation which is intermediate between a spatial and a Fourier representation. The author describes the mathematical properties of such decompositions and introduces the wavelet transform. He reviews the classical multiresolution pyramidal transforms developed in computer vision and shows how they relate to the decomposition of an image into a wavelet orthonormal basis. He discusses the properties of the zero crossings of multifrequency channels. Zero-crossing representations are particularly well adapted for pattern recognition in computer vision.>
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Citations
Cites
Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex
Hubel, D. H., & Wiesel, T. N. (1962) · The Journal of Physiology · doi:10.1113/jphysiol.1962.sp006837 · Cited by 13,680
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 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
Koenderink, J. J. (1984) · Biological Cybernetics · doi:10.1007/bf00336961 · Cited by 2,452
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
Fast wavelet transforms and numerical algorithms I
Beylkin, G., Coifman, R., & Rokhlin, V. (1991) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160440202 · Cited by 1,770
Linear and quadratic time-frequency signal representations
Hlawatsch, F., & Boudreaux-Bartels, G. F. (1992) · IEEE Signal Processing Magazine · doi:10.1109/79.127284 · Cited by 1,632
Wavelet analysis for geophysical applications
Kumar, P., & Foufoula‐Georgiou, E. (1997) · Reviews of Geophysics · doi:10.1029/97rg00427 · Cited by 992
Modern Image Quality Assessment
Wang, Z., & Bovik, A. C. (2006) · Synthesis Lectures on Image, Video, and Multimedia Processing · doi:10.1007/978-3-031-02238-8 · Cited by 967
Metadata
- Authors
- Mallat, S. G.
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1989
- Volume
- 37
- Issue
- 12
- Pages
- 2091-2110
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2166982406
- Cited by
- 1,955
- References
- 4
- FWCI
- 67.35
- Type
- journal article
- Language
- en
- Open access
- closed
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Data sources
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.
