Abstract
Joint detection and tracking of multiple extended objects from image observations is a challenging radar technology; especially for small back-scattering objects such as extended stealth targets (ESTs). This work provides a new approach for the ESTs tracking under the non-linear Gaussian system based on track-before-detect (TBD) approach. The sequential Monte Carlo multi-Bernoulli (SMC-MB) filter provides a good framework to cope with TBD approach. However, the SMC-MB filter suffers from the particles’ degradation problem seriously; especially for ETs tracking. Recently, the Cubature Kalman MB (CK-MB) filter which employs a third-degree spherical-radical cubature rule has been proposed to handle the nonlinear models, the CK-MB filter is more accurate and more principled in mathematical terms compared to SMC-MB filter. To this point, we address a TBD of ESTs with extended CK (ECK)-MB filter based on random matrices model (RMM), which is an efficient way to track ellipsoidal ESTs. In RMM-ESTs scenarios, although the extension ellipsoid is efficient, it may not be accurate enough because of lacking useful information, such as size, shape and orientation. Therefore, we introduce a filter composed of sub-ellipses; each one is represented by a RMM. The results confirm the effectiveness and robustness of the proposed ECK-Sub-RMM-MB-TBD filter.
Similar content being viewed by others
References
Arasaratnam I, Haykin S (2009) Cubature Kalman filters. IEEE Trans Automat Control 54(6):1254–1269
Barbary M, Zong P (2015) Optimisation for stealth target detection based on stratospheric balloon-borne netted radar system. IET Radar Sonar Navig. 9(7):802–816
Beard M, Reuter S, Granström K, Vo B-T, Vo B-N, Scheel A (2016) Multiple extended target tracking with labelled random finite sets. IEEE Trans Signal Process 64(7):1638–1653
Chen J, Wang N, Ma L, Xu B (2015) Extended target probability hypothesis density filter based on cubature Kalman filter. IET Radar Sonar Navig 9(3):324–332
Errasti-Alcala B, Braca P (2014) Track before Detect Algorithm for Tracking Extended Targets Applied to Real-World Data of X-Band Marine Radar. In Proceedings of the 2014 17th international conference, information FUSION (FUSION), Salamanca, Spain
Granstrom K, Natale A, Braca P, Ludeno G, Serafino F (2015) Gamma Gaussian inverse Wishart probability hypothesis density for extended target tracking using X-band marine radar data. IEEE Trans Geoscience and Remote Sensing 53(12):6617–6631
Granstrom K, Baum M, Reuter S (2017) Extended object tracking: introduction, overview, and applications. Journal of Advances in Information Fusion 12(2):139–174
Haihuan W, Xiaoyong L, Long M (2019) Adaptive cardinality balanced multi-target multi-Bernoulli filter based on cubature Kalman. The Journal of Engineering 21:7667–7671
Hu Q, Ji H, Zhang Y (2019) Tracking multiple extended targets with multi Bernoulli filter. IET Signal Process. 13(4):443–455
Ibrahim M, Barbary M, Mohamed H (2020) Joint detection and tracking for stealth targets in noisy imagery based on variational Bayesian sequential Monte Carlo cardinality balanced multitarget multi-Bernoulli filter. J Electron Imaging 29(1):013021(1)–013021(18)
Jiang T, Liu M, Fan Z, Zhang S (2016) On multiple-model extended target multi-Bernoulli filters. Digital Signal Processing 59:76–85
Lan J, Li XR (2014) Tracking of maneuvering non-ellipsoidal extended object or target group using random matrix. IEEE Trans Signal Process 62(9):2450–2463
Liang Z, Liu F, Gao J (2018) Improved GGIW-PHD filter for maneuvering non-ellipsoidal extended targets or group targets tracking based on sub-random matrices. PLoS One 13(2):1–28
Liang Z, Liu F, Li L, Gao J (2020) Improved generalized labeled multi-Bernoulli filter for non-ellipsoidal extended targets or group targets tracking based on random sub-matrices. Digital Signal Processing 99:102669
Liu M, Jiang T, Wang X, Zhang S (2014). Performance comparison of several nonlinear multi-Bernoulli filters for multi-target filtering. 17th International Conference on Information Fusion (FUSION)
Liu R, Fan H, Xiao H (2019) Labeled multi-Bernoulli filter joint detection and tracking of radar targets. Appl Sci 9(4187):1–16
Liu Z, Ji L, Yang F, Qu X, Yang Z, Qin D (2019) Cubature information Gaussian mixture probability hypothesis density approach for multi extended target tracking. IEEE Access 7:103678–103692
Ma D, Lian F, Liu J (2016) Sequential Monte Carlo implementation of cardinality balanced multi-target multi- Bernoulli filter for extended target tracking. IET Radar Sonar Navig 10(2):272–277
Ristic B, Vo B-T, Vo B-N, Farina A (2013) A tutorial on Bernoulli filters: theory, implementation and applications. IEEE Trans Signal Process 61(13):3406–3430
Vo B-N, Vo B-T, Pham N, Suter D (2010) Joint detection and estimation of multiple objects from image observations. IEEE Trans Signal Process 58(10):5129–5141
Vo B-N, See CM, Ma N, Ng WT (2012) Multi-sensor joint detection and tracking with Bernoulli filter. IEEE Trans Aerosp Electron Syst 48(2):1385–1402
Wang L, Huang Y, Zhan R, Zhang J (2019) Joint tracking and classification of extended targets using random matrix and Bernoulli filter for time-varying scenarios. IEEE Access 7:129584–129603
Wieneke M, Davey S (2014) Histogram-PMHT for extended targets and target groups in images. IEEE Trans Aerospace and Electronic Systems 50(3):2199–2217
Yan B, Xu L, Li M, Yan J (2017) Track-before-detect algorithm based on dynamic programming for multi-extended targets detection. IET Signal Process 11(6):674–686
Yan B, Xu N, Zhao W, Xu L (2019) A three-dimensional Hough transform-based track-before detect technique for detecting extended targets in strong clutter backgrounds. Sensors 19(881):1–19
Yang J, Ji H, Ge H (2013) Multi-model particle cardinality-balanced multi-target multi-Bernoulli algorithm for multiple manoeuvring target tracking. IET Radar Sonar Navig. 7(2):101–112
Zhang Y, Hongbing J (2016) A robust and fast partitioning algorithm for extended target tracking using a Gaussian inverse Wishart PHD filter. Knowl-Based Syst 95:125–141
Zhang Y, Ji H, Gao X (2018) An ellipse extended target CBMeMBer filter using gamma and box-particle implementation. Signal Process 149:88–102
Zong P, Barbary M (2016) Improved multi-Bernoulli filter for extended stealth targets tracking based on sub-random matrices. IEEE Sensors J 16(5):1428–1447
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Barbary, M., Abd El-azeem, M.H. Non-ellipsoidal extended targets tracking from image observations based on ECK-MB-sub-random matrices filter. Multimed Tools Appl 82, 3269–3302 (2023). https://doi.org/10.1007/s11042-022-13324-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-022-13324-x