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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 9 — May. 5, 2014
  • pp: 10119–10138

Multi-resolution imaging with an optimized number and distribution of sampling points

Amedeo Capozzoli, Claudio Curcio, and Angelo Liseno  »View Author Affiliations


Optics Express, Vol. 22, Issue 9, pp. 10119-10138 (2014)
http://dx.doi.org/10.1364/OE.22.010119


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Abstract

We propose an approach of interest in Imaging and Synthetic Aperture Radar (SAR) tomography, for the optimal determination of the scanning region dimension, of the number of sampling points therein, and their spatial distribution, in the case of single frequency monostatic multi-view and multi-static single-view target reflectivity reconstruction. The method recasts the reconstruction of the target reflectivity from the field data collected on the scanning region in terms of a finite dimensional algebraic linear inverse problem. The dimension of the scanning region, the number and the positions of the sampling points are optimally determined by optimizing the singular value behavior of the matrix defining the linear operator. Single resolution, multi-resolution and dynamic multi-resolution can be afforded by the method, allowing a flexibility not available in previous approaches. The performance has been evaluated via a numerical and experimental analysis.

© 2014 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(280.0280) Remote sensing and sensors : Remote sensing and sensors

ToC Category:
Imaging Systems

History
Original Manuscript: November 13, 2013
Revised Manuscript: December 23, 2013
Manuscript Accepted: January 7, 2014
Published: April 21, 2014

Citation
Amedeo Capozzoli, Claudio Curcio, and Angelo Liseno, "Multi-resolution imaging with an optimized number and distribution of sampling points," Opt. Express 22, 10119-10138 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-9-10119


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References

  1. A. Reigber, A. Moreira, “First demonstration of airborne SAR tomography using multibaseline L-band data,” IEEE Trans. Geosci. Remote Sens. 38(5), 2142–2152 (2000). [CrossRef]
  2. A. Capozzoli, G. D’Elia, A. Liseno, P. Vinetti, M. Nannini, A. Reigber, R. Scheiber, V. Severino, “SAR tomography with optimized constellation and its application to forested scenes,” Atti Fondazione Giorgio Ronchi LXV, 367–375 (2010).
  3. A. Capozzoli, C. Curcio, A. Liseno, “SAR tomography with optimized track distribution and controlled resolution, ” in Proceedings of the XIX Riunione Nazionale di Elettromagnetismo, (Roma, Italy, Sept. 10–14, 2012), pp. 174–177.
  4. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging (Institute of Physics Publishing, 1998).
  5. M. R. Fetterman, J. Grata, G. Jubic, W. L. Kiser, A. Visnansky, “Simulation, acquisition and analysis of passive millimeter-wave images in remote sensing applications,” Opt. Express 16(25), 20503–20515 (2008). [CrossRef] [PubMed]
  6. L. Zhang, Y. Hao, C. G. Parini, and J. Dupuy, “An investigation of antenna element spacing on the quality of the millimetre wave imaging,” in Proceedings of the IEEE Antennas Prop.Int. Symp. (San Diego, CA, Jul. 5–11, 2008), pp. 1–4.
  7. S. Yeom, D.-S. Lee, J.-Y. Son, M.-K. Jung, Y. S. Jang, S.-W. Jung, S.-J. Lee, “Real-time outdoor concealed-object detection with passive millimeter wave imaging,” Opt. Express 19(3), 2530–2536 (2011). [CrossRef] [PubMed]
  8. B. Recur, A. Younus, S. Salort, P. Mounaix, B. Chassagne, P. Desbarats, J.-P. Caumes, E. Abraham, “Investigation on reconstruction methods applied to 3D terahertz computed tomography,” Opt. Express 19(6), 5105–5117 (2011). [CrossRef] [PubMed]
  9. F. Qi, I. Ocket, D. Schreurs, B. Nauwelaers, “A system-level simulator for indoor mmW SAR imaging and its applications,” Opt. Express 20(21), 23811–23820 (2012). [CrossRef] [PubMed]
  10. A. Capozzoli, C. Curcio, A. Liseno, P. Vinetti, “Field sampling and field reconstruction: a new perspective,” Radio Sci. 45, RS6004 (2010). [CrossRef]
  11. A. Capozzoli, C. Curcio, A. Liseno, “Multi-frequency planar near-field scanning by means of singular-value decomposition (SVD) optimization,” IEEE Antennas Propag. Mag. 53, 212–221 (2011). [CrossRef]
  12. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
  13. T. B. Hansen and A. D. Yaghjian, Plane-Wave Theory of Time-Domain Fields (IEEE, 1999).
  14. G. W. Forbes, “Validity of the Fresnel approximation in the diffraction of collimated beams,” J. Opt. Soc. Am. A 13(9), 1816–1826 (1996). [CrossRef]
  15. P. C. Clemmow, The Plane-Wave Spectrum Representation of Electromagnetic Fields (IEEE, 1996).
  16. O. M. Bucci, A. Capozzoli, G. D’Elia, “Regularizing strategy for image restoration and wave-front sensing by phase diversity,” J. Opt. Soc. Am. A 16(7), 1759–1768 (1999). [CrossRef]
  17. B. R. Frieden and E. Wolf, eds., “Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions,” in Progress in Optics 9 (North-Holland, 1971), pp. 311–407.
  18. H. J. Landau, H. O. Pollak, “Prolate spheroidal wave functions, Fourier analysis and uncertainty—III: The dimension of essentially time- and band-limited signals,” Bell Syst. Tech. J. 41(4), 1295–1336 (1962). [CrossRef]
  19. A. Capozzoli, C. Curcio, G. D’Elia, A. Liseno, “Phaseless antenna characterization by effective aperture field and data representations,” IEEE Trans. Antennas Propag. 57(1), 215–230 (2009). [CrossRef]
  20. G. D. de Villiers, F. B. T. Marchaud, E. R. Pike, “Generalized Gaussian quadrature applied to an inverse problem in antenna theory: II. The two-dimensional case with circular symmetry,” Inverse Probl. 19(3), 755–778 (2003). [CrossRef]
  21. F. Gori, G. Guattari, “Shannon number and degrees of freedom of an image,” Opt. Commun. 7(2), 163–165 (1973). [CrossRef]
  22. A. Capozzoli, G. D’Elia, “Global optimization and antennas synthesis and diagnosis, part one: concepts, tools, strategies and performances,” Prog. Electromagn. Res. 56, 195–232 (2006).
  23. A. Capozzoli, C. Curcio, A. Liseno, “Experimental field reconstruction of incoherent sources,” Prog. Electromagn. Res. B 47, 219–239 (2013).

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