The DOI matches its Crossref record; 42 of the 42 references it cites were found in a registry or an index.
The Hermite transform-theory
Abstract
The author introduces a scheme for the local processing of visual information, called the Hermite transform. The problem is addressed from the point of view of image coding, and therefore the scheme is presented as an analysis/resynthesis system. The objectives of the present work, however, are not restricted to coding. The analysis part is designed so that it can also serve applications in the area of computer vision. Indeed, derivatives of Gaussians, which have found widespread application in feature detection over the past few years, play a central role in the Hermite analysis. It is also argued that the proposed processing scheme is in close agreement with current insight into the image processing that is carried out by the human visual system. In particular, it is demonstrated that the Hermite transform is in better agreement with human visual modeling than Gabor expansions.>
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Citations
Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
(1971) · Elsevier eBooks · doi:10.1016/c2013-0-02379-1 · Cited by 8,505
Handbook of Mathematical Functions.
Florentin, J. J., Abramowitz, M., & Stegun, I. A. (1966) · The American Mathematical Monthly · doi:10.2307/2314682 · Cited by 7,560
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
Multifrequency channel decompositions of images and wavelet models
Mallat, S. G. (1989) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/29.45554 · Cited by 1,955
On image analysis by the methods of moments
Teh, C.-H., & Chin, R. T. (1988) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.3913 · Cited by 1,561
Two-dimensional spectral analysis of cortical receptive field profiles
Daugman, J. G. (1980) · Vision Research · doi:10.1016/0042-6989(80)90065-6 · Cited by 1,208
Scale-space filtering: A new approach to multi-scale description
Witkin, A. (2005) · ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing · doi:10.1109/icassp.1984.1172729 · Cited by 1,086
Cited by
Pu, Y.-F., Zhou, J.-L., & Yuan, X. (2010) · IEEE Transactions on Image Processing · doi:10.1109/tip.2009.2035980 · Cited by 466
Metadata
- Authors
- Martens, J.-B.
- Venue
- IEEE Transactions on Acoustics, Speech, and Signal Processing
- Published
- 1990
- Volume
- 38
- Issue
- 9
- Pages
- 1595-1606
- ISSN
- 0096-3518 (ISSN-L)
- OpenAlex
- W2145246767
- Cited by
- 286
- References
- 42
- FWCI
- 12.24
- Type
- journal article
- Language
- en
- Open access
- closed
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- Martens, J.-B. (1990). The Hermite transform-theory. IEEE Transactions on Acoustics, Speech, and Signal Processing. https://doi.org/10.1109/29.60086
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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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