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Kernel RX-algorithm: a nonlinear anomaly detector for hyperspectral imagery
Abstract
We present a nonlinear version of the well-known anomaly detection method referred to as the RX-algorithm. Extending this algorithm to a feature space associated with the original input space via a certain nonlinear mapping function can provide a nonlinear version of the RX-algorithm. This nonlinear RX-algorithm, referred to as the kernel RX-algorithm, is basically intractable mainly due to the high dimensionality of the feature space produced by the nonlinear mapping function. However, in this paper it is shown that the kernel RX-algorithm can easily be implemented by kernelizing the RX-algorithm in the feature space in terms of kernels that implicitly compute dot products in the feature space. Improved performance of the kernel RX-algorithm over the conventional RX-algorithm is shown by testing several hyperspectral imagery for military target and mine detection.
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Cited by
Collaborative representation for hyperspectral anomaly detection
Li, W., & Du, Q. (2015) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2014.2343955 · Cited by 758
Anomaly Detection in Hyperspectral Images Based on Low-Rank and Sparse Representation
Xu, Y., Wu, Z., Li, J., Plaza, A., & Wei, Z. (2016) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2015.2493201 · Cited by 602
Hyperspectral Target Detection : An Overview of Current and Future Challenges
Nasrabadi, N. M. (2014) · IEEE Signal Processing Magazine · doi:10.1109/msp.2013.2278992 · Cited by 580
Self-citationLRR-Net: An Interpretable Deep Unfolding Network for Hyperspectral Anomaly Detection
Li, C., Zhang, B., Hong, D., Yao, J., & Chanussot, J. (2023) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2023.3279834 · Cited by 270
Graph and Total Variation Regularized Low-Rank Representation for Hyperspectral Anomaly Detection
Cheng, T., & Wang, B. (2020) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2019.2936609 · Cited by 266
Metadata
- Authors
- Kwon, H., & Nasrabadi, N. M.
- Venue
- IEEE Transactions on Geoscience and Remote Sensing
- Published
- 2005-02
- Volume
- 43
- Issue
- 2
- Pages
- 388-397
- ISSN
- 0196-2892 (ISSN-L)
- OpenAlex
- W2124463804
- Cited by
- 821
- References
- 1
- FWCI
- 52.73
- Type
- journal article
- Language
- en
- Open access
- closed
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