A spectral anomaly detector in hyperspectral images based on a non-Gaussian mixture model

Anomaly Detection (AD) in remotely sensed airborne hyperspectral images has been proven valuable in many applications. Within the AD approach that defines the spectral anomalies with respect to a statistical model for the background, reliable background PDF estimation is essential to a successful outcome. This paper proposes a new Bayesian strategy for learning a non-Gaussian mixture model for the background PDF based on elliptically contoured distributions. The resulting estimated background PDF is then used to detect spectral anomalies, characterized by a low probability of occurrence with respect to the global background, through the Generalized Likelihood Ratio Test (GLRT). Real hyperspectral imagery is used for experimental evaluation of the proposed strategy.

[1]  Christopher M. Bishop,et al.  Robust Bayesian Mixture Modelling , 2005, ESANN.

[2]  Nikolas P. Galatsanos,et al.  Robust Image Segmentation with Mixtures of Student's t-Distributions , 2007, 2007 IEEE International Conference on Image Processing.

[3]  P. Deb Finite Mixture Models , 2008 .

[4]  S Matteoli,et al.  A tutorial overview of anomaly detection in hyperspectral images , 2010, IEEE Aerospace and Electronic Systems Magazine.

[5]  Aristidis Likas,et al.  Unsupervised Learning of Gaussian Mixtures Based on Variational Component Splitting , 2007, IEEE Transactions on Neural Networks.

[6]  Michel Verleysen,et al.  On Convergence Problems of the EM Algorithm for Finite Gaussian Mixtures , 2003, ESANN.

[7]  Dimitris G. Manolakis,et al.  Modeling hyperspectral imaging data , 2003, SPIE Defense + Commercial Sensing.

[8]  Russell C. Hardie,et al.  Anomaly detection in hyperspectral imagery: comparison of methods using diurnal and seasonal data , 2009 .

[9]  Dimitris G. Manolakis,et al.  Detection algorithms for hyperspectral imaging applications , 2002, IEEE Signal Process. Mag..

[10]  Geoffrey J. McLachlan,et al.  Finite Mixture Models , 2019, Annual Review of Statistics and Its Application.

[11]  Michel Verleysen,et al.  Robust Bayesian clustering , 2007, Neural Networks.