Regularization for spectral matched filter and RX anomaly detector

Nasser M. Nasrabadi

doi:10.1117/12.773444

11 April 2008 Regularization for spectral matched filter and RX anomaly detector

Nasser M. Nasrabadi

Proceedings Volume 6966, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XIV; 696604 (2008) https://doi.org/10.1117/12.773444
Event: SPIE Defense and Security Symposium, 2008, Orlando, Florida, United States

Abstract

This paper describes a new adaptive spectral matched filter and a modified RX-based anomaly detector that incorporates the idea of regularization (shrinkage). The regularization has the effect of restricting the possible matched filters (models) to a subset which are more stable and have better performance than the non-regularized adaptive spectral matched filters. The effect of regularization depends on the form of the regularization term and the amount of regularization is controlled by so called regularization coefficient. In this paper the sum-of-squares of the filter coefficients is used as the regularization term and several different values for the regularization coefficient are tested. A Bayesian-based derivation of the regularized matched filter is also provided. Experimental results for detecting and recognizing targets in hyperspectral imagery are presented for regularized and non-regularized spectral matched filters and RX algorithm.

Citation Download Citation

Nasser M. Nasrabadi "Regularization for spectral matched filter and RX anomaly detector", Proc. SPIE 6966, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XIV, 696604 (11 April 2008); https://doi.org/10.1117/12.773444

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