A Fast Iterative Interpolation Method in f-k Domain for 3-D Irregularly Sampled GPR Data

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing

Volumn 9, Issue 1, 2016, Pages 9-17

  Yi, Li ^a   Takahashi, Kazunori ^a   Sato, Motoyuki ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

Ground penetrating radar (GPR); interpolation; radar data processing

Indexed keywords

DATA ACQUISITION; GEOLOGICAL SURVEYS; GROUND PENETRATING RADAR SYSTEMS; INTERPOLATION; SET THEORY;

3D INFORMATION; GPR APPLICATIONS; GROUND PENETRATING RADAR (GPR); INTERPOLATION METHOD; NYQUIST CRITERIA; PROJECTION ONTO CONVEX SETS; SYNTHETIC DATA; THREEDIMENSIONAL (3-D);

ITERATIVE METHODS;

DATA PROCESSING; GROUND PENETRATING RADAR; INTERPOLATION; THREE-DIMENSIONAL MODELING;

EID: 84945932278     PISSN: 19391404     EISSN: 21511535     Source Type: Journal    
DOI: 10.1109/JSTARS.2015.2489260     Document Type: Article

References (16)

1. X. Feng, M. Sato, and C. Liu, "Subsurface imaging using a handheld GPR MD system, " IEEE Geosci. Remote Sens. Lett., vol. 9, no. 4, pp. 659-662, Jul. 2012.
2. S. Zhu, C. Huang, Y. Su, and M. Sato, "3D ground penetrating radar to detect tree roots and estimate root biomass in the field, " Remote Sens., vol. 6, no. 6, pp. 5754-5773, Jun. 2014.
3. M. Grasmueck, M. C. Quintà, K. Pomar, and G. P. Eberli, "Diffraction imaging of sub-vertical fractures and karst with full-resolution 3D ground-penetrating radar, " Geophys. Prospect., vol. 61, no. 5, pp. 907-918, Sep. 2013.
4. O. Yilmaz, "Deconvolution, " in Seismic Data Processing, Tulsa, OK, USA: Soc. Explor. Geophys., 1987.
5. P.M. Zwartjes andM. D. Sacchi, "Fourier reconstruction of nonuniformly sampled, aliased seismic data, " Geophysics, vol. 72, no. 1, pp. V21-V32, Jan. 2007.
6. P. M. Zwartjes, "Fourier reconstruction with sparse inversion, " Ph.D. dissertation, Lab. Acoust. Imag. Sound Control, Fac. Appl. Sci., Delft Univ. Technol., Delft, The Netherlands, 2005.
7. S. Spitz, "Seismic trace interpolation in the F-X domain, " Geophysics, vol. 56, no. 6, pp. 785-794, 1991.
8. R. Abma and N. Kabir, "3D interpolation of irregular data with a POCS algorithm, " Geophysics, vol. 71, no. 6, pp. 91-97, 2006.
9. S.-Q. Wang, X. Gao, and Z.-X. Yao, "Accelerating POCS interpolation of 3D irregular seismic data with graphics processing units, " Comput. Geosci., vol. 36, no. 10, pp. 1292-1300, Oct. 2010.
10. P. Yang, J. Gao, and W. Chen, "Curvelet-based POCS interpolation of nonuniformly sampled seismic records, " J. Appl. Geophys., vol. 79, pp. 90-99, Apr. 2012.
11. M. Grasmueck and D. A. Viggiano, "Integration of ground-penetrating radar and laser position sensors for real-Time 3-D data fusion, " IEEE Trans. Geosci. Remote Sens., vol. 45, no. 1, pp. 130-137, Jan. 2007.
12. M. Jiang and Z. Zhang, "Review on POCS algorithms for image reconstruction, " Comput. Theory Appl., no. 1, pp. 51-55, 2003.
13. J. Shah, I. Qureshi, H. Omer, and A. Khaliq, "A modified POCS-based reconstruction method for compressively sampled MR imaging, " Int. J. Imag. Syst. Technol., vol. 24, no. 3, pp. 203-207, Sep. 2014.
14. D. L. Donoho, "Compressed sensing, " IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
15. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing: Part I-Theory, " IEEE Trans. Signal Process., vol. 41, no. 2, pp. 821-833, Feb. 1993.
16. G. Hennenfent and F. J. Herrmann, "Simply denoise: Wavefield reconstruction via jittered undersampling, " Geophysics, vol. 73, no. 3, pp. V19-V28, May 2008.