Abstract

We discuss the quantitative location of objects from holographic images when the reconstruction wavelength differs from the recording wavelength. The holographic image equations are interpreted in a way that clarifies the meaning of stereo pairs of holographic images and indicates how backprojection methods can be used in holography to locate objects. Alternative methods involving the production of distortion-free regions in the holographic image field during reconstruction, the use of self-calibrating objects in the object field during recording, and triangulation can be used to locate objects.

© 1998 Optical Society of America

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  1. R. W. Meier, “Magnification and third-order aberrations in holography,” J. Opt. Soc. Am. 55, 987–992 (1965).
  2. R. J. Collier, C. B. Burkhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).
  3. R. R. A. Syms, Practical Volume Holography (Clarendon, Oxford, 1990).
  4. P. Hariharan, Optical Holography, 2nd ed. (Cambridge U. Press, New York, 1996).
  5. A. K. Jain, Fundamentals of Digital Image Processing (Prentice Hall, Englewood Cliffs, N.J., 1989), Chap. 10.
  6. A. C. Kak, “Image reconstruction from projections,” in Digital Image Processing Techniques, M. P. Ekstrom, ed. (Academic, New York, 1984), pp. 111–171.
  7. S. W. Rowland, “Computer implementation of image reconstruction formulas,” in Image Reconstruction from Projections, Vol. 32 of Topics in Applied Physics (Springer-Verlag, New York, 1979), pp. 9–79.
  8. G. T. Herman, Image Reconstruction From Projections: The Fundamentals of Computerized Tomography (Academic Press, New York, 1980).
  9. C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-armor debris using cylindrical holograms,” Practical Holography IX, A. Benton, ed., Proc. SPIE2406, 132–146 (1995).
  10. C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-arm or debris using cylindrical holograms,” Opt. Eng. 36, 40–46 (1997).
    [CrossRef]
  11. E. B. Champagne, “Nonparaxial imaging, magnification, and aberration properties in holography,” J. Opt. Soc. Am. 57, 51–55 (1967).
    [CrossRef]
  12. J. M. Rebordao, “General form for aberration coefficients in holography,” J. Opt. Soc. Am. A 1, 788–790 (1984).
    [CrossRef]
  13. K.-O. Peng, H. J. Frankena, “Nonparaxial theory of curved holograms,” Appl. Opt. 25, 1319–1326 (1986).
    [CrossRef] [PubMed]
  14. G. H. Spencer, M. V. R. K. Murty, “General ray-tracing procedure,” J. Opt. Soc. Am. 52, 672–678 (1962).
    [CrossRef]
  15. A. Offner, “Ray tracing through a holographic system,” J. Opt. Soc. Am. 56, 1509–1512 (1966).
    [CrossRef]
  16. I. A. Abramowitz, “Evaluation of hologram imaging by ray-tracing,” Appl. Opt. 8, 403–410 (1969).
    [CrossRef] [PubMed]

1997 (1)

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-arm or debris using cylindrical holograms,” Opt. Eng. 36, 40–46 (1997).
[CrossRef]

1986 (1)

1984 (1)

1969 (1)

1967 (1)

1966 (1)

1965 (1)

1962 (1)

Abramowitz, I. A.

Anderson, C.

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-arm or debris using cylindrical holograms,” Opt. Eng. 36, 40–46 (1997).
[CrossRef]

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-armor debris using cylindrical holograms,” Practical Holography IX, A. Benton, ed., Proc. SPIE2406, 132–146 (1995).

Burkhardt, C. B.

R. J. Collier, C. B. Burkhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Champagne, E. B.

Collier, R. J.

R. J. Collier, C. B. Burkhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Frankena, H. J.

Gordon, J.

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-arm or debris using cylindrical holograms,” Opt. Eng. 36, 40–46 (1997).
[CrossRef]

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-armor debris using cylindrical holograms,” Practical Holography IX, A. Benton, ed., Proc. SPIE2406, 132–146 (1995).

Hariharan, P.

P. Hariharan, Optical Holography, 2nd ed. (Cambridge U. Press, New York, 1996).

Herman, G. T.

G. T. Herman, Image Reconstruction From Projections: The Fundamentals of Computerized Tomography (Academic Press, New York, 1980).

Jain, A. K.

A. K. Jain, Fundamentals of Digital Image Processing (Prentice Hall, Englewood Cliffs, N.J., 1989), Chap. 10.

Kak, A. C.

A. C. Kak, “Image reconstruction from projections,” in Digital Image Processing Techniques, M. P. Ekstrom, ed. (Academic, New York, 1984), pp. 111–171.

Lin, L. H.

R. J. Collier, C. B. Burkhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Marsh, J.

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-arm or debris using cylindrical holograms,” Opt. Eng. 36, 40–46 (1997).
[CrossRef]

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-armor debris using cylindrical holograms,” Practical Holography IX, A. Benton, ed., Proc. SPIE2406, 132–146 (1995).

Meier, R. W.

Murty, M. V. R. K.

Offner, A.

Peng, K.-O.

Rebordao, J. M.

Rowland, S. W.

S. W. Rowland, “Computer implementation of image reconstruction formulas,” in Image Reconstruction from Projections, Vol. 32 of Topics in Applied Physics (Springer-Verlag, New York, 1979), pp. 9–79.

Spencer, G. H.

Syms, R. R. A.

R. R. A. Syms, Practical Volume Holography (Clarendon, Oxford, 1990).

Watts, D.

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-arm or debris using cylindrical holograms,” Opt. Eng. 36, 40–46 (1997).
[CrossRef]

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-armor debris using cylindrical holograms,” Practical Holography IX, A. Benton, ed., Proc. SPIE2406, 132–146 (1995).

Appl. Opt. (2)

J. Opt. Soc. Am. (4)

J. Opt. Soc. Am. A (1)

Opt. Eng. (1)

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-arm or debris using cylindrical holograms,” Opt. Eng. 36, 40–46 (1997).
[CrossRef]

Other (8)

R. J. Collier, C. B. Burkhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

R. R. A. Syms, Practical Volume Holography (Clarendon, Oxford, 1990).

P. Hariharan, Optical Holography, 2nd ed. (Cambridge U. Press, New York, 1996).

A. K. Jain, Fundamentals of Digital Image Processing (Prentice Hall, Englewood Cliffs, N.J., 1989), Chap. 10.

A. C. Kak, “Image reconstruction from projections,” in Digital Image Processing Techniques, M. P. Ekstrom, ed. (Academic, New York, 1984), pp. 111–171.

S. W. Rowland, “Computer implementation of image reconstruction formulas,” in Image Reconstruction from Projections, Vol. 32 of Topics in Applied Physics (Springer-Verlag, New York, 1979), pp. 9–79.

G. T. Herman, Image Reconstruction From Projections: The Fundamentals of Computerized Tomography (Academic Press, New York, 1980).

C. Anderson, J. Gordon, D. Watts, J. Marsh, “Measurement of behind-armor debris using cylindrical holograms,” Practical Holography IX, A. Benton, ed., Proc. SPIE2406, 132–146 (1995).

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