Abstract
We propose a general paradigm for image formation from data collected by wave-based sensory probes of subsurface structures. We discuss methodologies that are directly applicable in several robotic subsurface sensing, imaging, and vision technologies, including buried waste clean-up, excavation planning, de-mining, archaeological investigations, environmental pollution monitoring, water quality assessment, etc. The proposed methodologies are, therefore, crucial in the development of automated robotic vision systems. A large number of references to the relevant literature are included.
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References
R G Newton, “Scattering Theory ofWaves and Particles,” Springer Verlag, Berlin, 1982
K Chadan, D Colton, L Paivarinta, and W Rundell, “An Introduction to Inverse Scattering and Inverse Spectral Problems,” SIAM Publications, Philadelphia, 1997
H Lipson and W Cochran, “The Determination of Crystal Structures,” Cornell University Press, Ithaca, 1966
G T Herman, “Image Reconstruction from Projections: The Fundamentals of Computerized Tomography,” Academic Press, NewY ork, 1980
A C Kak and M Slaney, “Principles of Computerized Tomographic Imaging,” IEEE Press, NewYork, 1988
J F Greenleaf and R C Bahn, “Computerized Tomography with Ultrasound,” Proc. IEEE, vol. 71, p. 330, 1983
D Colton and R Kress, “Inverse Acoustic and Electromagnetic Scattering,” Springer Verlag, Berlin, 1998
A Witten and E Long, “ShallowApplications of Geophysical Diffraction Tomography,” IEEE Trans. Geosc. Rem. Sens., vol. GE-24, p. 654, 1986
A Witten, J Tuggle, and R C Waag “A Practical Approach to Ultrasonic Imaging Using Diffraction Tomography,” J. Acous. Soc. Amer., vol. 83, p. 1645, 1988
A Witten and W C King, “Acoustical Imaging of Subsurface Features,” J. Envir. Eng., vol. 116, p. 166, 1990
A Witten, “Sounding out Buried Waste,” Civil Engineering, vol. 60, p. 62, 1990
A Witten, D Gillette, W C King, and J Sypniewski, “Geophysical Diffraction Tomography at a Dinosaur Site,” Geophysics, vol. 57, p. 187, 1992
T E Levy and A Witten, “Denizens of the Desert,” Archaeology Magazine, p. 36, 1996
M H Maleki, A J Devaney, and A Schatzberg, “Tomographic Reconstruction from Optical Scattered Intensities,” J. Opt. Soc. Am. A, vol. 9, p. 1356, 1992
A J Devaney, “ElasticWave Inverse Scattering,” in: S K Datta, J D Achenbach and Y S Rajapakse (eds.), “Elastic Waves and Ultrasonic Nondestructive Evaluation,” Elsevier Science Publishers, NewY ork, 1990
A J Devaney, “Non-uniqueness in Inverse Scattering Problems,” J. Math. Phys., vol. 19, p. 1526, 1978
E Wolf, “Three-Dimensional Structure Determination of Semi-transparent Objects from Holographic Data,” Opt. Comm., vol. 1, p. 153, 1969
A J Devaney, “A Filtered Backpropagation Algorithm for Diffraction Tomography,” Ultr. Imag., vol. 4, p. 336, 1982
A J Devaney, “Reconstructive Tomography with Diffracting Wavefields,” Inv. Problems, vol. 2, p. 161, 1986
K Iwata and R Nagata, “Calculation of Refractive Index Distribution from Interferograms Using the Born and Rytov’s Approximation,” Japan. J. Appl. Phys., vo.l. 14, p. 379, 1974
R K Mueller, M Kaveh, and G Wade, “Reconstructive Tomography and Applications to Ultrasonics,” Proc. IEEE, vol. 67, p. 567, 1979
A J Devaney, “The Limited-ViewProblem in Diffraction Tomography,” Inv. Problems, vol. 5, p. 501, 1989
A J Devaney, “Geophysical Diffraction Tomography,” IEEE Trans. Geosc. Rem. Sens., vol. GE-22, p. 3, 1984
R W Deming and A J Devaney, “Diffraction Tomography for Multi-Monostatic Ground Penetrating Radar Imaging,” Inv. Problems, vol. 13, p. 29, 1997
T B Hansen and P M Johansen, “Inversion Scheme for Ground Penetrating Radar that Takes into Account the Air-Soil Interface,” IEEE Trans. Geosc. Rem. Sens., Jan. 2000
G A Tsihrintzis and A J Devaney, “Stochastic Difraction Tomography: Theory and Computer Simulation,” Sign. Proc., vol. 39, p. 49, 1993
G A Tsihrintzis and A J Devaney, “Stochastic Geophysical Diffraction Tomography,” Int. J. Imag. Syst. Techn., vol. 5, p. 239, 1994
X Pan, “Unified Reconstruction Theory for Diffraction Tomography with Consideration of Noise Control,” J. Opt. Soc. Am. A, vol. 15, p. 2312, 1998
K T Ladas and A J Devaney, “Iterative Methods in Geophysical Diffraction Tomography,” Inv. Problems, vol. 8, p. 119, 1992
S Kawata, Y Touki, and S Minami, “Optical Microscopic Tomography,” in: A J Devaney and R H T Bates (eds.), Inverse Optics II, SPIE 558, 1985
A J Devaney, “Structure Determination from Intensity Measurements in Scattering Experiments,” Phys. Rev. Letts., vol. 62, p. 2385, 1989
A J Devaney, “Diffraction Tomographic Reconstruction from Intensity Data,” IEEE Trans. Im. Proc., vol. IP-1, p. 221, 1992
G A Tsihrintzis and A J Devaney, “Estimation of Object Location from Diffraction Tomographic Intensity Data,” IEEE Trans. Sign. Proc., vol. SP-39, p. 2136, 1991
A J Devaney and X Zhang, “Geophysical Diffraction Tomography in a Layered Background,” Wave Motion, vol. 14, p. 243, 1991
G A Tsihrintzis, P M Johansen, and A J Devaney, “Buried Object Detection and Location Estimation from Electromagnetic Field Measurements,” IEEE Trans. Ant. Prop., vol. AP-47, p. 1742, 1999
G Beylkin and M L Oristaglio, “Distorted-Wave Born and Distored-Wave Rytov Approximation,” Opt. Comm., vol. 53, p. 213, 1985
A J Devaney and M L Oristaglio, “Inversion Procedure for Inverse Scattering within the Distorted Wave Born Approximation,” Phys. Rev. Letts., vol. 51, p. 237, 1981
N Sponheim, L-J Gelius, I Johansen, and J J Stamnes, “Quantitative Results in Ultrasonic Tomography of Large Objects Using Line Sources and Curved Detector Arrays,” IEEE Trans. Ultr. Ferr. Freq. Contr., vol. UFFC-38, p. 370, 1991
G A Tsihrintzis and A J Devaney, “Application of a Maximum Likelihood Estimator in an Experimental Study of Ultrasonic Diffraction Tomography,” IEEE Trans. Med. Imag., vol. MI-12, p. 545, 1993
G A Tsihrintzis and A J Devaney, “Maximum Likelihood Estimation of Object Location in Diffraction Tomography,” IEEE Trans. Sign. Proc., vol. SP-39, p. 672, 1991
G A Tsihrintzis and A J Devaney, “Maximum Likelihood Estimation of Object Location in Diffraction Tomography, Part II: Strongly Scattering Objects,” IEEE Trans. Sign. Proc., vol. SP-39, p. 1466, 1991
G A Tsihrintzis and A J Devaney, “Maximum Likelihood Techniques in Ultrasonic Diffraction Tomography,” in: C T Leondes (ed.), “Medical Imaging Techniques and Applications, Vol. 6,” p. 43–126, Gordon and Breach Publ. Newark, 1998
G A Tsihrintzis, A J Devaney, and E Heyman, “Estimation of Object Location from Wideband Scattering Data,” IEEE Trans. Im. Proc., vol. IP-8, p. 996, 1999
M Slaney and A C Kak and L E Larsen, “Limitations of Imaging with First-Order Diffraction Tomography,” IEEE Trans. Microw. Th. Techn., vol. MTT-32, p. 360, 1984
A J Devaney and E Wolf, “A New Perturbation Expansion for Inverse Scattering from Three-Dimensional Finite-Range Potentials,” Phys. Letts., vol. 89A, p. 269, 1982
R Pierri and A Brancaccio, “Imaging of a Rotationally Symmetric Dielectric Cylinder by a Quadratic Approach,” J. Opt. Soc. Am. A, vol. 14, p. 2777, 1997
A Brancaccio and R Pierri, Information Content of Born Scattered Fields: Results in the Circular Cylindrical Case,” J. Opt. Soc. Am. A, vol. 15, p. 1909, 1998
G A Tsihrintzis and A J Devaney, “Higher-Order (Nonlinear) Diffraction Tomography: Reconstruction Algorithms and Computer Simulation,” IEEE Trans. Im. Proc., vol. IP-9, p. 1560, 2000
G A Tsihrintzis and A J Devaney, “Higher-Order (Nonlinear) Diffraction Tomography: Inversion of the Rytov Series, ” IEEE Trans. Inf. Th., Special Issue on Information-Theoretic Imaging, vol. IT-46, p. 1748, 2000
G A Tsihrintzis and A J Devaney, “A Volterra Series Approach to Nonlinear Traveltime Tomography,” IEEE Trans. Geosc. Rem. Sens., Special Issue on Computational Wave Issues in Remote Sensing, Imaging and Target Identification, Propagation, and Inverse Scattering, vol. GRS-38, p. 1733, 2000
G.A. Tsihrintzis, Polynomial Approximators to Plane Wave Scattering and Applications in Nonlinear Diffraction Tomographic Imaging, CISS’2001, Johns Hopkins University, Baltimore, MD, March 21–23, 2001.
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Tsihrintzis, G.A., Girtis, K.G. (2002). Overview of Wave Probe-Based High-Resolution Subsurface Sensing, Imaging, and Vision. In: Vlahavas, I.P., Spyropoulos, C.D. (eds) Methods and Applications of Artificial Intelligence. SETN 2002. Lecture Notes in Computer Science(), vol 2308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46014-4_34
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DOI: https://doi.org/10.1007/3-540-46014-4_34
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