Computerized Geophysical Tomography

Proceedings of the IEEE

Volumn 67, Issue 7, 1979, Pages 1065-1073

  Dines, Kris A ^a   Lytle, R Jeffrey ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTERIZED TOMOGRAPHY;

EXCAVATION; IMAGE PROCESSING; SUBWAYS;

GEOPHYSICS;

EID: 0018490963     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/PROC.1979.11390     Document Type: Article

References (42)

1. G. N. Hounsfield, “Method and apparatus for measuring X or γ-radiation absorption or transmission at plural angles and analyzing the data,” U.S. Patent 3 778 614, Dec. 11, 1973.
2. R. M. Mersereau and A. V. Oppenheim “Digital reconstruction of multi-dimensional signals from their projections,” Proc. IEEE, vol. 62, no. 10, pp. 1319–1338, Oct. 1974.
3. A. C. Kak, “Algorithms for reconstruction,” in Cardiovascular Imaging and Image Processing (Proceedings of Conference on Cardiovascular Imaging and Image Processing, Theory and Practice), vol. 72, H. Sandler and H. A. Miller, Eds. Published by Society of Photo-Optical Instrumentation Engineers, 1975, pp. 163–175.
4. H. J. Scudder “Introduction to computer aided tomography,” Proc. IEEE, vol. 66, pp. 628–637, June 1978.
5. J. Radon “Ueber die Bestimmung von Functionen durch ihre integralwerte Laengs gewisser Manninfoltigkeiten (On the determination of functions from their integrals along certain manifolds),” Berichte Saechsische Acadamie der Wissenschaften (Leipzig), Mathematische-Physische Klasse, vol. 69, pp. 262–277, 1917.
6. A. M. Cormack “Representation of a function by its line integrals with some radiological applications—I,” J. Appl. Phys., vol. 35, pp. 2722–2727, 1963.
7. A. M. Cormack “Representation of a function by its line integrals with some radiological applications—II,” J. Appl. Phys., vol. 35, pp. 2908–2913, 1964.
8. R. N. Bracewell and A. C. Riddle “Inversion of fan-beam scans in radio astronomy,” Astrophys. J., vol. 150, pp. 427–434, 1967.
9. M. V. Berry and D. F. Gibbs “The interpretation of optical projection,” Proc. Roy. Soc. London, Ser. A, vol. 314, pp. 143–152, 1970.
10. G. N. Ramachandran and A. V. Lakshminarayanan “Three-dimensional reconstruction from radiographs and electron micrographs: III. Description and application of the convolution method,” Indian J. Pure Appl. Phys., vol. 9, pp. 997–1003, 1971.
11. A. M. Cormack “Reconstruction of densities from their projections with applications in radiological physics,” Phys. Med. Biol., vol. 18, pp. 195–207, 1973.
12. L. A. Shepp and B. F. Logan “The Fourier reconstruction of a head section,” IEEE Trans. Nucl. Sci., vol. NS-21, pp. 21–43, June 1974.
13. C. V. Jakowatz, Jr., “Computerized tomographic imaging using X-rays and ultrasound,” Ph.D. dissertation, School of Elec. Eng., Purdue Univ., Lafayette, IN, Aug. 1976. (Available from University Microfilms International, Ann Arbor, MI.)
14. K. A. Dines, “Measurement and reconstruction of ultrasonic parameters for diagnostic imaging,” Ph.D. dissertation, School of Elec. Eng., Purdue Univ., Lafayette, IN, Dec. 1976. (Available from University Microfilms International, Ann Arbor, MI.)
15. K. A. Dines and A. C. Kak, “Ultrasonic attenuation tomography,” Ultrasonic Imaging, vol. 1, Jan. 1979.
16. R. Gordon “A Tutorial on ART (Algebraic Reconstruction Techniques),” IEEE Trans. Nucl. Sci., vol. NS-21, pp. 78–93, June 1974.
17. S. Kaczmarz, “Angenaberte auflosung von Systemen linearer gleichungen,” Bull. Acad. Polon. Sci. Lett., A., pp. 355–357, 1937.
18. K. Tanabe “Projection method for solving a singular system of linear equations and its applications,” Numer. Math., vol. 17, pp. 203–214, 1971.
19. R. Gordon, R. Bender, and G. T. Herman “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and X-ray photography,” J. Theor. Biol., vol. 29, pp. 471–481, 1971.
20. R. Gordon and G. T. Herman “Reconstruction of pictures from their projections,” Commun. A.C.M., vol. 14, pp. 759–768, 1971.
21. P. Gilbert “Iterative methods for the reconstruction of three-dimensional objects from projections,” J. Theor. Biol., vol. 36, pp. 105–117, 1972.
22. G. T. Herman and S. Rowland “Resolution in ART: an experimental investigation of the resolving power of an algebraic picture reconstruction technique,” J. Theor. Biol., vol. 33, pp. 213–223, 1971.
23. G. T. Herman, A. Lent, and S. Rowland “ART: Mathematics and applications: a report on the mathematical foundations and on applicability to real data of the algebraic reconstruction techniques,” J. Theor. Biol., vol. 43, pp. 1–32, 1973.
24. J. F. Greenleaf, S. A. Johnson, S. L. Lee, G. T. Herman, and E. H. Wood, “Algebraic reconstruction of spatial distributions of acoustic absorption within tissue from their two-dimensional acoustic projections,” in Acoustical Holography, vol. 5. New York: Plenum, 1974, pp. 591–603.
25. R. A. Crowther and A. Klug “Three dimensional image reconstruction on an extended field—A fast, stable algorithm,” Nature, vol. 257, pp. 490–492, 1974.
26. T. F. Budinger and G. T. Gullberg “Three-dimensional reconstruction in nuclear medicine emission imaging,” IEEE Trans. Nucl. Sci., vol. 21, no. 3, pp. 2–21, 1974.
27. B. K. P. Horn “Density reconstruction using arbitrary ray sampling schemes,” Proc. IEEE, vol. 66, pp. 551–562, 1978.
28. J. F. Greenleaf, S. A. Johnson, W. F. Samayoa, and F. A. Duck “Algebraic reconstruction of spatial distributions of acoustic velocities in tissue from their time of flight profiles,” Acoustical Holography, vol. 6, pp. 71–90, 1975.
29. D. W. Sweeney and C. M. Vest “Reconstruction of three-dimensional refractive index fields from multi-direction interferometric data,” Appl. Opt., vol. 12, no. 11, pp. 2649–2664, 1973.
30. J. R. Wait, Electromagnetic Waves in Stratified Media. New York: Pergamon, 1970, pp. 8–106.
31. L. M. Brekhovskikh, Waves in Layered Media (translated from the russian by D. Lieberman). New York: Academic Press, 1960, pp. 168–233.
32. R. N. Bracewell and S. J. Wernecke “Image reconstruction over a finite field of view,” J. Opt. Soc. Amer., vol. 65, pp. 1342–1346, 1975.
33. R. J. Lytle, D. L. Lager, E. F. Laine, and J. D. Salisbury, “Monitoring fluid flow by using high-frequency electromagnetic probing,” Lawrence Livermore Lab. Rep. UCRL-51979 (ERA 1: 17178, available from National Technical Inform. Serv., Springfield, VA), 1976.
34. D. L. Lager and R. J. Lytle “Determining a subsurface electromagnetic profile from high-frequency measurements by applying reconstruction technique algorithms,” Radio Sci., vol. 12, no. 2, pp. 249–260, 1977.
35. R. J. Lytle, D. L. Lager, E. F. Laine, and D. T. Davis, “Using cross-borehole electromagnetic probing to locate high-contrast anomalies,” to be published in Geophysics.
36. R. J. Lytle, E. F. Laine, D. L. Lager, and J. T. Okada “Determination of the in situ high frequency electrical properties of permafrost rock,” Radio Sci., vol. 11, no. 4, pp. 285–294, 1976.
37. R. J. Lytle, K. A. Dines, E. F. Laine, and D. L. Lager, “Electromagnetic cross-borehole survey of a site proposed for a future urban transit station,” Lawrence Livermore Lab. Rep. UCRL-52484, 1978. (Available from National Technical Inform. Serv., Springfield, VA.)
38. M. Born and E. Wolf, Principles of Optics. New York: Pergamon, 1964.
39. a) P. Bois, M. LaPorte, M. Lavergne, and G. Thomas “Essai de determination automatique des vitesses sismiques par mesures entre puits,” Geophysic. Prospect., vol. 19, pp. 42–83, 1971.
40. b) —, “Well-to-well seismic measurements,” Geophysics, vol. 37, pp. 471–480. June 1972.
41. M. LaPorte, J. Lakshmanan, M. Lavergne, and C. Willm “Mesures sismiques par transmission—Application au genie civil,” Geophysic. Prospect., vol. 21, pp. 146–158, 1973.
42. K. A. Dines and R. J. Lytle, “Iterative reconstruction of underground refractive index distributions from cross-borehole transmission data,” Lawrence Livermore Lab., Rep. UCRL-52348 (ERA 3:27006, available from the National Technical Inform. Serv., Springfield, VA), 1977.