Yıl: 2015 Cilt: 23 Sayı: 5 Sayfa Aralığı: 1242 - 1256 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

3D imaging for ground-penetrating radars via dictionary dimension reduction

Öz:
Ground-penetrating radar (GPR) has been widely used in detecting or imaging subsurface targets. In many applications such as archaeology,utility imaging,or landmine detection,three-dimensional (3D) images of the subsurface region isrequired for better understanding ofthe sensed medium. However,ahigh-resolution 3D image requireswideband data collection both in spatial and time/frequency domains. Match filtering is the main tool for generating subsurface images. Applying match filtering with the data acquisition impulse response for each possible voxel in the 3D region with the collected data requires both a tremendous amount of computer memory and computational complexity. Hence, it is very costly to obtain 3D GPR images in most of the applications although 3D images are very demanded results. In this paper, a new 3D imaging technique is proposed that will first decrease the memory requirements for 3D imaging with possible implications for less computational complexity. The proposed method uses the shifted impulse response of the targets that are on the same depth as a function of scanning position. This similarity of target responses for data dictionaries for only 2D target slices is constructed with twice the length in scanning directions and this 2D dictionary is mainly used for generating 3D images. The proposed method directly saves memory due to dimension reduction in dictionary generation and also decreases computational load. Simulation results show generated 3D images with the proposed technique. Comparisons in both memory and computational load with the standard backprojection show that the proposed technique offers advantages in both areas.
Anahtar Kelime:

Konular: Mühendislik, Elektrik ve Elektronik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] H.M. Jol, Ground Penetrating Radar Theory and Applications, Elsevier, Amsterdam, 2009.
  • [2] M.G. Amin, Through-the-Wall Radar Imaging, CRC Press, Boca Raton, 2010.
  • [3] D.J. Daniels, “Surface-penetrating radar”, Electronics and Communication Engineering Journal, Vol. 8, pp. 165– 182, 1996.
  • [4] J. Groenenboom, A. Yarovoy, “Data processing and imaging in GPR system dedicated for landmine detection”, Subsurface Sensing Technologies and Applications, Vol. 3, pp. 387–402, 2002.
  • [5] K. Kim, A.C. Gurbuz, J.H. McClellan, W.R. Scott Jr, “A multi-static ground-penetrating radar with an array of resistively loaded vee dipole antennas for landmine detection”, Detection and Remediation Technologies for Mines and Minelike Targets X, Proceedings of the SPIE, Vol. 5794, pp. 495–506, 2005.
  • [6] S.Hubbard,C.Jinsong,K.Williams,Y.Rubin,J.Peterson, “Environmental and agricultural applications of GPR”, Proceedings of the 3rd International Workshop on Advanced Ground Penetrating Radar, pp. 45–49, 2005.
  • [7] A.C. Gurbuz, J.H. McClellan, W.R. Scott Jr, G.D. Larson, “Seismic tunnel imaging and detection”, IEEE Confer- ence On Image Processing, pp. 3229–3232, 2006.
  • [8] E.J. Baranoski, “Through-wall imaging: historical perspective and future directions”, Journal of the Franklin Institute, Vol. 345, pp. 556–569, 2008.
  • [9] N. Metje, P.R. Atkins, M.J. Brennan, D.N. Chapman, H.M. Lim, J. Machell, J.M. Muggleton, S. Pennock, J. Ratcliffe, M. Redfern, C.D.F. Rogers, A.J. Saul, “Mapping the underworld - state of the art review”, Tunneling and Underground Space Technology, Vol. 22, pp. 568–586, 2007.
  • [10] G. Grandjean, J.C. Gourry, A. Bitri, “Evaluation of GPR techniques for civil-engineering applications: study on a test site”, Journal of Applied Geophysics, Vol. 45, pp. 141–156, 2000.
  • [11] A.C. G¨urb¨uz, “Line detection with adaptive random samples”, Turkish Journal of Electrical Engineering and Computer Science, Vol. 19, pp. 21–32, 2011.
  • [12] J. Leckebusch, “Ground-penetrating radar: a modern three-dimensional prospection method”, Archaeologica Prospection, Vol. 10, pp. 213–240, 2003.
  • [13] M. Lualdi, L. Zanzi, G. Sosio, “A 3D GPR survey methodology for archaeological applications”, Proceedings of the 11th International Conference on Ground Penetrating Radar, Columbus, OH, USA, 2006.
  • [14] M. Grasmueck, R. Weger, H. Horstmeyer, “Full-resolution 3D GPR imaging”, Geophysics, Vol. 70, pp. K12–K19, 2006.
  • [15] J. Song, Q.H. Liu, P. Torrione, L. Collins, “Two-dimensional and three-dimensional NUFFT migration method for landmine detection using ground-penetrating Radar”, IEEE Transactions on Geoscience and Remote Sensing, Vol. 44, pp. 1462–1469, 2006.
  • [16] E.M. Johansson, J.E. Mast, “Three dimensional ground penetrating radar imaging using a synthetic aperture time- domain focusing”, Proceedings of the SPIE Conference on Advanced Microwave and Millimeter Wave Detectors, Vol. 2275, pp. 205–214, 1994.
  • [17] R. Stolt, “Migration by Fourier transform”, Geophysics, Vol. 43, pp. 23–48, 1978.
  • [18] H. Gan, W.C. Chew, “A discrete BCG-FFT algorithm for solving 3D inhomogeneous scatterer problems”, Journal of Electromagnetic Waves and Applications, Vol. 9, pp. 1339–1357, 1995.
  • [19] A.C. Gurbuz, J.H. McClellan, W.R. Scott Jr, “Subsurface target imaging using a multi-resolution 3D quadtree algorithm”, Detection and Remediation Technologies for Mines and Mine-like Targets X, Proceedings of the SPIE, Vol. 5794, pp. 1172–1181, 2005.
  • [20] A.C. Gurbuz, J.H. McClellan, W.R. Scott Jr, “Imaging of subsurface targets using a 3D quadtree algorithm”, ICASSP, Vol. 4, pp. 1105–1108, 2005.
  • [21] D.L. Donoho, “Compressed sensing”, IEEE Transactions on Information Theory, Vol. 52, pp. 1289–1306, 2006.
  • [22] E. J. Candes, J. Romberg, T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incom- plete frequency information”, IEEE Transactions on Information Theory, Vol. 52, pp. 489–509, 2006.
  • [23] E. Candes, J. Romberg, T. Tao, “Stable signal recovery from incomplete and inaccurate measurements”, Commu- nications on Pure and Applied Mathematics, Vol. 529, pp. 1207–1223, 2006.
  • [24] D.L. Donoho, M. Elad, V.N. Temlyakov, “Stable recovery of sparse overcomplete representations in the presence of noise”, IEEE Transactions Information Theory, Vol. 52, pp. 6–18, 2006.
  • [25] A.C. Gurbuz, J.H. McClellan, W.R. Scott Jr, “Compressive sensing for GPR imaging”, Asilomar Conference on Signals, Systems, and Computers, pp. 2223–2227, 2007.
  • [26] A.C. Gurbuz, J.H. McClellan, W.R. Scott Jr, “A compressive sensing data acquisition and imaging method for stepped frequency GPRs”, IEEE Transactions on Signal Processing, Vol. 57, pp. 2640–2650, 2009.
  • [27] A.C. Gurbuz, J.H. McClellan, W.R. Scott, “Compressive sensing for subsurface imaging using ground penetrating radars”, Signal Processing, Vol. 89, pp. 1959–1972, 2009.
  • [28] Y.Yoon,M.G.Amin, “Imaging of behind the wall targets using wide-band beamforming with compressive sensing”, Statistical Signal Processing, pp. 93–96, 2009.
  • [29] J. Tropp, A. Gilbert, “Signal recovery from random measurements via orthogonal matching pursuit”, IEEE Trans- actions on Information Theory, Vol. 53, pp. 4655–4666, 2007.
  • [30] M.A.C¸. Tuncer, A.C. G¨urb¨uz, “Analysis of orthogonal matching pursuit based subsurface imaging for compressive ground penetrating radars”, Turkish Journal of Electrical Engineering and Computer Science,Vol. 20, pp. 979–989, 2012.
  • [31] K.Krueger,J.H.McClellan,W.R.Scott Jr, “Dictionary reductiontechnique for 3Dstepped-frequency GPR imaging using compressive sensing and FFT”, Proceedings of the SPIE, Vol. 8365, p. 83650Q, 2012.
  • [32] K. Krueger, J.H. McClellan, W.R. Scott Jr, “3-D imaging for ground penetrating radar using compressive sensing withblock-Teoplitz structures”,IEEE 7th Sensor Array and Multichannel Signal ProcessingWorkshop,pp.229–232, 2012.
  • [33] M.Duman,A.C.Gurbuz, “Faster3DGPRimagingusing 2Ddictionarieswithapplicationstosparsereconstruction”, ICECCO Conference, 2012.
  • [34] B. Scheers, “Ultra-wideband ground penetrating radar, with application to the detection of anti personnel land- mines”, Royal Military Academy, Brussels, 2001.
  • [35] W.A. Burnett, R.J. Ferguson, “Reversible Stolt migration”, CREWES Research Report, 2008.
  • [36] J.Wang, B. Shim, “On the recovery limit of sparse signals using orthogonal matching pursuit”, IEEE Transactions on Signal Processing, Vol. 60, pp. 4973–4976, 2012.
APA duman M, GÜRBÜZ A (2015). 3D imaging for ground-penetrating radars via dictionary dimension reduction. , 1242 - 1256.
Chicago duman Muhammed,GÜRBÜZ Ali Cafer 3D imaging for ground-penetrating radars via dictionary dimension reduction. (2015): 1242 - 1256.
MLA duman Muhammed,GÜRBÜZ Ali Cafer 3D imaging for ground-penetrating radars via dictionary dimension reduction. , 2015, ss.1242 - 1256.
AMA duman M,GÜRBÜZ A 3D imaging for ground-penetrating radars via dictionary dimension reduction. . 2015; 1242 - 1256.
Vancouver duman M,GÜRBÜZ A 3D imaging for ground-penetrating radars via dictionary dimension reduction. . 2015; 1242 - 1256.
IEEE duman M,GÜRBÜZ A "3D imaging for ground-penetrating radars via dictionary dimension reduction." , ss.1242 - 1256, 2015.
ISNAD duman, Muhammed - GÜRBÜZ, Ali Cafer. "3D imaging for ground-penetrating radars via dictionary dimension reduction". (2015), 1242-1256.
APA duman M, GÜRBÜZ A (2015). 3D imaging for ground-penetrating radars via dictionary dimension reduction. Turkish Journal of Electrical Engineering and Computer Sciences, 23(5), 1242 - 1256.
Chicago duman Muhammed,GÜRBÜZ Ali Cafer 3D imaging for ground-penetrating radars via dictionary dimension reduction. Turkish Journal of Electrical Engineering and Computer Sciences 23, no.5 (2015): 1242 - 1256.
MLA duman Muhammed,GÜRBÜZ Ali Cafer 3D imaging for ground-penetrating radars via dictionary dimension reduction. Turkish Journal of Electrical Engineering and Computer Sciences, vol.23, no.5, 2015, ss.1242 - 1256.
AMA duman M,GÜRBÜZ A 3D imaging for ground-penetrating radars via dictionary dimension reduction. Turkish Journal of Electrical Engineering and Computer Sciences. 2015; 23(5): 1242 - 1256.
Vancouver duman M,GÜRBÜZ A 3D imaging for ground-penetrating radars via dictionary dimension reduction. Turkish Journal of Electrical Engineering and Computer Sciences. 2015; 23(5): 1242 - 1256.
IEEE duman M,GÜRBÜZ A "3D imaging for ground-penetrating radars via dictionary dimension reduction." Turkish Journal of Electrical Engineering and Computer Sciences, 23, ss.1242 - 1256, 2015.
ISNAD duman, Muhammed - GÜRBÜZ, Ali Cafer. "3D imaging for ground-penetrating radars via dictionary dimension reduction". Turkish Journal of Electrical Engineering and Computer Sciences 23/5 (2015), 1242-1256.