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A real-time CFAR thresholding method for target detection in hyperspectral images

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Abstract

In order to support immediate decision-making in critical circumstances such as military reconnaissance and disaster rescue, real-time onboard implementation of target detection is greatly desired. In this paper, a real-time thresholding method (RT-THRES) is proposed to obtain the constant false alarm rate (CFAR) thresholds for target detection in real-time circumstances. RT-THRES utilizes Gaussian mixture model (GMM) to track and fit the distribution of the target detector’s outputs. GMM is an extension to Gaussian probability density function, which could approximate any distribution smoothly. In this method, GMM is utilized to model the detector’s output, and then the detection threshold is calculated to achieve a CFAR detection. The conventional GMM’s parameter estimation by Expectation-Maximization (EM) requires all data samples in the dataset to be involved during the procedure and the the parameters would be re-estimated when new data samples available. Thus, GMM is difficult to be applied in real-time processing when newly observed data samples coming progressively. To improve GMM’s application availability in time-critical circumstance, an optimization strategy is proposed by introducing the Incremental GMM (IGMM) which allows GMM’s parameter to be estimated online incrementally. Experiments on real hyperspectral image and synthetic dataset suggest that RT-THRES can track and model the detection outputs’ distribution accurately which ensures the accuracy of the calculation of CFAR thresholds. Moreover, by applying the optimization strategy the computational consumption of RT-THRES maintains relatively low.

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References

  1. Basener B, Ientilucci E, Messinger D (2007) Improved hyperspectral anomaly detection in heavy-tailed backgrounds. Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XIII, Proc. SPIE.

  2. Bidon S, Besson O, Tourneret JY (2008) The adaptive coherence estimator is the generalized likelihood ratio test for a class of heterogeneous environments. IEEE Signal Processing Letters 15:281–284

    Article  Google Scholar 

  3. Calinon S and Billard A (2007) Incremental learning of gestures by imitation in a humanoid robot. ACM/IEEE International Conference on Human-Robot Interaction.

  4. Cameron AC, Windmeijer FAG (1997) An R-squared measure of goodness of fit for some common nonlinear regression models[J]. Journal of Econometrics Journal of Econometrics 77(2):329–334

    Article  MathSciNet  MATH  Google Scholar 

  5. Chang C-I. 2016 Real-time progressive hyperspectral image processing. Springer New York

  6. Chapra SC, Canale RP (2014) Numerical methods for engineers 7ed. McGraw-Hill Education

  7. Chen C, Zhang N (2012) An efficient method for incremental learning of GMM using CUDA. International Conference on Computer Science and Service System.

  8. Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc 39(1):1–38

    MathSciNet  MATH  Google Scholar 

  9. Devore JL (2011) Probability and statistics for Engineering and the sciences, 8th edn. Cengage Learning, Boston, pp 508–510

    Google Scholar 

  10. Ensafi E and Stocker AD (2008) An adaptive CFAR algorithm for real-time hyperspectral target detection, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XIV, Proc. SPIE.

  11. Frontera-Pons J and Pascal F (2013) False-alarm regulation for target detection in Hyperspectral Images. IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing.

  12. Gupta MR, Chen Y (2011) Theory and use of the EM algorithm. Found Trends Sig Process 4(3):223–296

    Article  MATH  Google Scholar 

  13. Kasen I, Goa PE, Skauli T (2004) Target detection in hyperspectral images based on multicomponent statistical models for representation of background clutter. Proceedings of the SPIE 5612:258–264

    Article  Google Scholar 

  14. Kraut S, Scharf LL, Butler RW (2005) The adaptive coherence estimator: a uniformly most-powerful-invariant adaptive detection statistic. IEEE Trans Signal Process 53(2):427–438

    Article  MathSciNet  Google Scholar 

  15. Manolakis DG (2005) Taxonomy of detection algorithms for hyperspectral imaging applications. Signal Processing Magazine IEEE 44(6):29–43

    Google Scholar 

  16. Manolakis DG, Shaw G (2002) Detection algorithms for hyperspectral imaging applications. IEEE Signal Process Mag 19:29–43

    Article  Google Scholar 

  17. Manolakis DG, Shaw GA, Keshava N (2000) Comparative analysis of hyperspectral adaptive matched filter detectors. Proc. SPIE 4049, Algorithms for Multispectral, Hyperspectral, and Ultraspectral Imagery VI., 2–17

  18. Manolakis DG, Marden D, Kerekes JP, Shaw GA (2001) On the statistics of hyperspectral imaging data. Proc SPIE 4381(11):1953–1958

    Google Scholar 

  19. Piepera ML, Manolakisa D, Lockwood R (2011) Hyperspectral detection and discrimination using the ACE Algorithm. Imaging Spectrometry XVI, 815807.

  20. Pinto RC, Engel PM et al (2015) PLoS One 10(10):e0141942

    Article  Google Scholar 

  21. Plaza AJ, Chang C-I 2007 High performance computing in remote sensing. Chapman and Hall/CRC

  22. Qian D (2007) Unsupervised real-time constrained linear discriminant analysis to hyperspectral image classification. Pattern Recogn 40:1510–1519

    Article  MATH  Google Scholar 

  23. Qian D, Nekovei R (2009) Fast real-time onboard processing of hyperspectral imagery for detection and classification[J]. J Real-Time Image Proc 4(3):273–286

    Article  Google Scholar 

  24. Reed I, Yo X (1990) Adaptive multiple-band CFAR detection of an optical pattern with unknown spectral distribution. IEEE Trans Acoust Speech Signal Proc 38:1760–1770

    Article  Google Scholar 

  25. Snyder D, Kerekes J, Fairweather I, Crabtree R, Shive J, Hager S (2008) Development of a web-based application to evaluate target finding algorithms. Proceedings of the 2008 I.E. International Geoscience and Remote Sensing Symposium (IGARSS) 2:915–918

    Google Scholar 

  26. Tarabalka Y, Haavardsholm TV, Kåsen I, Skauli T (2009) Real-time anomaly detection in hyperspectral images using multivariate normal mixture models and GPU processing. J Real-Time Image Proc 4(3):287–300

    Article  Google Scholar 

  27. Zhang Z (2011) An improvement to the Brent’s method. Int J Exp Algorithm 2(1):21–26

    Google Scholar 

  28. Zhang Y, Chen L, Ran X (2010) Online incremental EM training of GMM and its application to speech processing applications. 2010 I.E. 10th International Conference on Signal Processing (ICSP).

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Zhao, H., Lou, C. & Li, N. A real-time CFAR thresholding method for target detection in hyperspectral images. Multimed Tools Appl 76, 15155–15171 (2017). https://doi.org/10.1007/s11042-017-4693-y

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  • DOI: https://doi.org/10.1007/s11042-017-4693-y

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