Paper
12 May 2010 Improved outlier identification in hyperspectral imaging via nonlinear dimensionality reduction
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Abstract
We use a nonlinear dimensionality reduction technique to improve anomaly detection in a hyperspectral imaging application. A nonlinear transformation, diffusion map, is used to map pixels from the high-dimensional spectral space to a (possibly) lower-dimensional manifold. The transformation is designed to retain a measure of distance between the selected pixels. This lower-dimensional manifold represents the background of the scene with high probability and selecting a subset of points reduces the computational overhead associated with diffusion map. The remaining pixels are mapped to the manifold by means of a Nystr¨om extension. A distance measure is computed for each new pixel and those that do not reside near the background manifold, as determined by a threshold, are identified as anomalous. We compare our results with the RX and subspace RX methods of anomaly detection.
© (2010) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
C. C. Olson, J. M. Nichols, J. V. Michalowicz, and F. Bucholtz "Improved outlier identification in hyperspectral imaging via nonlinear dimensionality reduction", Proc. SPIE 7695, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XVI, 769507 (12 May 2010); https://doi.org/10.1117/12.851811
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Cited by 6 scholarly publications.
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KEYWORDS
Diffusion

Hyperspectral imaging

Distance measurement

Principal component analysis

Sensors

Associative arrays

Detection and tracking algorithms

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