The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Image representation using 2D Gabor wavelets
Abstract
This paper extends to two dimensions the frame criterion developed by Daubechies for one-dimensional wavelets, and it computes the frame bounds for the particular case of 2D Gabor wavelets. Completeness criteria for 2D Gabor image representations are important because of their increasing role in many computer vision applications and also in modeling biological vision, since recent neurophysiological evidence from the visual cortex of mammalian brains suggests that the filter response profiles of the main class of linearly-responding cortical neurons (called simple cells) are best modeled as a family of self-similar 2D Gabor wavelets. We therefore derive the conditions under which a set of continuous 2D Gabor wavelets will provide a complete representation of any image, and we also find self-similar wavelet parametrization which allow stable reconstruction by summation as though the wavelets formed an orthonormal basis. Approximating a "tight frame" generates redundancy which allows low-resolution neural responses to represent high-resolution images.
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Cites
A theory for multiresolution signal decomposition: the wavelet representation
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Cited by
Zhang, Z., Lyons, M., Schuster, M., & Akamatsu, S. (2002) · Proceedings Third IEEE International Conference on Automatic Face and Gesture Recognition · doi:10.1109/afgr.1998.670990 · Cited by 613
Transforms and Operators for Directional Bioimage Analysis: A Survey
Püspöki, Z., Storath, M., Sage, D., & Unser, M. (2016) · Advances in Anatomy, Embryology and Cell Biology · doi:10.1007/978-3-319-28549-8_3 · Cited by 522
Gumaei, A., Hassan, M. M., Hassan, M. R., Alelaiwi, A., & Fortino, G. (2019) · IEEE Access · doi:10.1109/access.2019.2904145 · Cited by 484
Independent component analysis of gabor features for face recognition
Liu, C., & Wechsler, H. (2003) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2003.813829 · Cited by 466
Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images
Kimmel, R., Malladi, R., & Sochen, N. (2000) · International Journal of Computer Vision · doi:10.1023/a:1008171026419 · Cited by 297
Metadata
- Authors
- Lee, T. S.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1996
- Volume
- 18
- Issue
- 10
- Pages
- 959-971
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2138584058
- Cited by
- 1,629
- References
- 36
- FWCI
- 15.42
- 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.
