Nonparametric Bayesian Attributed Scattering Center Extraction for Synthetic Aperture Radar Targets

As a good way to represent target backscatter measured by high-frequency synthetic aperture radar (SAR) systems, the attributed scattering center (ASC) model is able to provide concise and physically relevant features of a complex target and has played an important role in model-based automatic target recognition (ATR). However, most existing ASC feature extraction methods suffer from imprecise image segmentation or high computational cost, which greatly encumber their practical applications. To tackle this problem, we present a novel ASC feature extraction algorithm for SAR targets based on Lévy random fields in a nonparametric Bayesian framework. Specifically, Lévy random fields, yielding a natural sparse representation of the unknown ASC model, are introduced to construct prior distributions, which lead to the specification of a joint prior distribution for the number of ASCs and the ASC associated parameters. Meanwhile, the problem may be formulated as a sparse representation problem, with regularization induced through the Lévy random field prior. We also develop a reversible jump Markov chain Monte Carlo (RJ-MCMC) method to enable relatively fast posterior inference. Experimental results confirm the effectiveness and efficiency of the proposed algorithm.

[1]  M. Clyde,et al.  Stochastic expansions using continuous dictionaries: Lévy adaptive regression kernels , 2011, 1112.3149.

[2]  Bruno A. Olshausen,et al.  Learning real and complex overcomplete representations from the statistics of natural images , 2009, Optical Engineering + Applications.

[3]  Lee C. Potter,et al.  Classifying sets of attributed scattering centers using a hash coded database , 2010, Defense + Commercial Sensing.

[4]  Baoxin Li,et al.  Discriminative K-SVD for dictionary learning in face recognition , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[5]  J. Keller,et al.  Geometrical theory of diffraction. , 1962, Journal of the Optical Society of America.

[6]  Yee Whye Teh,et al.  A Collapsed Variational Bayesian Inference Algorithm for Latent Dirichlet Allocation , 2006, NIPS.

[7]  H. Jeffreys An invariant form for the prior probability in estimation problems , 1946, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[8]  A. Robert Calderbank,et al.  Sensitivity to Basis Mismatch in Compressed Sensing , 2011, IEEE Trans. Signal Process..

[9]  Y. C. Pati,et al.  Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[10]  Jen-Hwa Chu Bayesian function estimation using overcomplete dictionaries with application in genomics , 2007 .

[11]  Julie Ann Jackson,et al.  Three-Dimensional Feature Models for Synthetic Aperture Radar and Experiments in Feature Extraction , 2009 .

[12]  Ajay Jasra,et al.  Markov Chain Monte Carlo Methods and the Label Switching Problem in Bayesian Mixture Modeling , 2005 .

[13]  Emre Ertin,et al.  Sparsity and Compressed Sensing in Radar Imaging , 2010, Proceedings of the IEEE.

[14]  Felix Abramovich,et al.  Stochastic expansions in an overcomplete wavelet dictionary , 2000 .

[15]  J. A. Jackson,et al.  Analytic Physical Optics Solution for Bistatic, 3D Scattering From a Dihedral Corner Reflector , 2012, IEEE Transactions on Antennas and Propagation.

[16]  Saïd Moussaoui,et al.  Efficient Gaussian Sampling for Solving Large-Scale Inverse Problems Using MCMC , 2014, IEEE Transactions on Signal Processing.

[17]  Randolph L. Moses,et al.  Synthetic Aperture Radar 3D Feature Extraction for Arbitrary Flight Paths , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[18]  Randolph L. Moses,et al.  Feature extraction using attributed scattering center models on SAR imagery , 1999, Defense, Security, and Sensing.

[19]  Wenjing Liao,et al.  Coherence Pattern-Guided Compressive Sensing with Unresolved Grids , 2011, SIAM J. Imaging Sci..

[20]  David B. Dunson,et al.  Deep Learning with Hierarchical Convolutional Factor Analysis , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[21]  M. J. Gerry Two-dimensional inverse scattering based on the GTD model / , 1997 .

[22]  Randolph L. Moses,et al.  3D feature estimation for sparse, nonlinear bistatic SAR apertures , 2010, 2010 IEEE Radar Conference.

[23]  Mengdao Xing,et al.  Polarimetric Target Decomposition Based on Attributed Scattering Center Model for Synthetic Aperture Radar Targets , 2014, IEEE Geoscience and Remote Sensing Letters.

[24]  Chong Tu,et al.  BAYESIAN NONPARAMETRIC MODELING USING L EVY PROCESS PRIORS WITH APPLICATIONS FOR FUNCTION ESTIMATION, TIME SERIES MODELING AND SPATIO-TEMPORAL MODELING , 2006 .

[25]  Robert L. Wolpert,et al.  Nonparametric Function Estimation Using Overcomplete Dictionaries , 2006 .

[26]  Lee C. Potter,et al.  Classifying Vehicles in Wide-Angle Radar Using Pyramid Match Hashing , 2011, IEEE Journal of Selected Topics in Signal Processing.

[27]  Jean Ponce,et al.  Task-Driven Dictionary Learning , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[28]  R. Ross Radar cross section of rectangular flat plates as a function of aspect angle , 1966 .

[29]  Yang He,et al.  A Forward Approach to Establish Parametric Scattering Center Models for Known Complex Radar Targets Applied to SAR ATR , 2014, IEEE Transactions on Antennas and Propagation.

[30]  R.L. Moses,et al.  Parametric scattering models for bistatic synthetic aperture radar , 2008, 2008 IEEE Radar Conference.

[31]  Martin A Plonus,et al.  Radar cross section of curved plates using geometrical and physical diffraction techniques , 1978 .

[32]  Michael A. Saunders,et al.  Atomic Decomposition by Basis Pursuit , 1998, SIAM J. Sci. Comput..

[33]  Deanna Needell,et al.  CoSaMP: Iterative signal recovery from incomplete and inaccurate samples , 2008, ArXiv.

[34]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[35]  Lee C. Potter,et al.  Attributed scattering centers for SAR ATR , 1997, IEEE Trans. Image Process..

[36]  A. Shiryaev,et al.  Limit Theorems for Stochastic Processes , 1987 .

[37]  D. Newland,et al.  Harmonic and musical wavelets , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[38]  Julie Ann Jackson,et al.  Canonical Scattering Feature Models for 3D and Bistatic SAR , 2010, IEEE Transactions on Aerospace and Electronic Systems.

[39]  Pascal Frossard,et al.  Dictionary Learning , 2011, IEEE Signal Processing Magazine.

[40]  Randolph L. Moses,et al.  Scattering center model for SAR imagery , 1999, Remote Sensing.

[41]  M. J. Gerry,et al.  A parametric model for synthetic aperture radar measurements , 1999 .

[42]  Yee Whye Teh,et al.  Collapsed Variational Inference for HDP , 2007, NIPS.

[43]  Avideh Zakhor,et al.  Dictionary design for matching pursuit and application to motion-compensated video coding , 2004, IEEE Transactions on Circuits and Systems for Video Technology.

[44]  Nando de Freitas,et al.  Robust Full Bayesian Learning for Radial Basis Networks , 2001, Neural Computation.

[45]  P. Green Reversible jump Markov chain Monte Carlo computation and Bayesian model determination , 1995 .

[46]  Feng Liang,et al.  Bayesian function estimation using continuous wavelet dictionaries , 2009 .

[47]  Emre Ertin,et al.  Through-the-wall sar attributed scattering center feature estimation , 2009, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.