Anomaly detection in sonar images based on wavelet domain noncausal AR-ARCH random field modeling

In this paper we introduce a novel anomaly detection method in sonar images based on noncausal autoregressive-autoregressive conditional heteroscedasticity (AR-ARCH) model. The background of the sonar image in the wavelet domain is modeled by a noncausal AR-ARCH model. Matched subspace detector (MFD) is used for detecting the anomaly in the image. The proposed method is computationally efficient and is robust to the orientation variation of the image, compared to competing method.

[1]  José M. F. Moura,et al.  Hyperspectral imagery: Clutter adaptation in anomaly detection , 2000, IEEE Trans. Inf. Theory.

[2]  Ping-Ya Zhao,et al.  An unbiased and computationally efficient LS estimation method for identifying parameters of 2D noncausal SAR models , 1993, IEEE Trans. Signal Process..

[3]  Mahmood Karimi,et al.  Estimating multivariate ARCH parameters by two-stage least-squares method , 2009, Signal Process..

[4]  Louis L. Scharf,et al.  Matched subspace detectors , 1994, IEEE Trans. Signal Process..

[5]  E. M. Winter,et al.  Anomaly detection from hyperspectral imagery , 2002, IEEE Signal Process. Mag..

[6]  D. Walnut An Introduction to Wavelet Analysis , 2004 .

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

[8]  Israel Cohen,et al.  Anomaly Detection Based on Wavelet Domain GARCH Random Field Modeling , 2007, IEEE Transactions on Geoscience and Remote Sensing.

[9]  Louis L. Scharf,et al.  Adaptive subspace detectors , 2001, IEEE Trans. Signal Process..

[10]  Keinosuke Fukunaga,et al.  Introduction to statistical pattern recognition (2nd ed.) , 1990 .

[11]  Gerald J. Dobeck,et al.  Sea mine detection and classification using side-looking sonar , 1995, Defense, Security, and Sensing.

[12]  Edward A. Ashton,et al.  Detection of subpixel anomalies in multispectral infrared imagery using an adaptive Bayesian classifier , 1998, IEEE Trans. Geosci. Remote. Sens..

[13]  Ignace Lemahieu,et al.  Statistical detection of defects in radiographic images in nondestructive testing , 2002, Signal Process..

[14]  A. Willsky Multiresolution Markov models for signal and image processing , 2002, Proc. IEEE.