Abstract

Under appropriate conditions zero-crossings of a bandpass signal are very rich in information. The authors examine here the relevance of this result to the early stages of visual information processing, where zero-crossings in the output of independent spatial-frequency-tuned channels may contain sufficient information for much of the subsequent processing.

© 1979 Optical Society of America

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  1. D. Marr, "Early processing of visual information," Phil. Trans. R. Soc. Lond. B 275, 483–524 (1976), p. 488.
  2. F. W. Campbell and J. G. Robson, "Application of Fourier analysis to the visibility of gratings," J. Physiol. (London) 197, 551–556 (1968).
  3. H. R. Wilson and S. C. Giese, "Threshold visibility of frequency gradient patterns," Vision Res. 17, 1177–1190 (1977).
  4. D. H. Hubel and T. N. Wiesel, "Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex," J. Physiol. (London) 160, 106–154 (1962).
  5. D. Marr and T. Poggio, "Theory of human stereopsis," J. Opt. Soc. Am. 67, 1400 (1977).
  6. D. Marr and T. Poggio, "A computational theory of human stereo vision," Proc. Roy. Soc. London B, (in press).
  7. B. F. Logan Jr., "Information in the zero-crossings of bandpass signals," Bell Sys. Techn. J. 56, 487–510 (1977).
  8. M. B. Sachs, J. Nachmias, and J. G. Robson, "Spatial-frequency channels in human vision," J. Opt. Soc. Am. 61, 1176–1186 (1971).
  9. J. J. Kulikowski and P. E. King-Smith, "Spatial arrangement of line, edge and grating detectors revealed by subthreshold summation," Vision Res. 13, 1455–1478 (1973).
  10. R. M. Shapley and D. J. Tolhurst, "Edge detectors in human vision," J. Physiol. (London) 229, 165–183 (1973).
  11. G. E. Legge, "Sustained and transient mechanisms in human vision: temporal and spatial properties," Vision Res. 18, 69–81 (1978).
  12. J. D. Cowan, "Some remarks on channel bandwidths for visual contrast detection," Neurosciences Res. Prog. Bull, 15, 492–517 (1977), Fig. A12.

1978 (1)

G. E. Legge, "Sustained and transient mechanisms in human vision: temporal and spatial properties," Vision Res. 18, 69–81 (1978).

1977 (4)

J. D. Cowan, "Some remarks on channel bandwidths for visual contrast detection," Neurosciences Res. Prog. Bull, 15, 492–517 (1977), Fig. A12.

H. R. Wilson and S. C. Giese, "Threshold visibility of frequency gradient patterns," Vision Res. 17, 1177–1190 (1977).

D. Marr and T. Poggio, "Theory of human stereopsis," J. Opt. Soc. Am. 67, 1400 (1977).

B. F. Logan Jr., "Information in the zero-crossings of bandpass signals," Bell Sys. Techn. J. 56, 487–510 (1977).

1976 (1)

D. Marr, "Early processing of visual information," Phil. Trans. R. Soc. Lond. B 275, 483–524 (1976), p. 488.

1973 (2)

J. J. Kulikowski and P. E. King-Smith, "Spatial arrangement of line, edge and grating detectors revealed by subthreshold summation," Vision Res. 13, 1455–1478 (1973).

R. M. Shapley and D. J. Tolhurst, "Edge detectors in human vision," J. Physiol. (London) 229, 165–183 (1973).

1971 (1)

1968 (1)

F. W. Campbell and J. G. Robson, "Application of Fourier analysis to the visibility of gratings," J. Physiol. (London) 197, 551–556 (1968).

1962 (1)

D. H. Hubel and T. N. Wiesel, "Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex," J. Physiol. (London) 160, 106–154 (1962).

Campbell, F. W.

F. W. Campbell and J. G. Robson, "Application of Fourier analysis to the visibility of gratings," J. Physiol. (London) 197, 551–556 (1968).

Cowan, J. D.

J. D. Cowan, "Some remarks on channel bandwidths for visual contrast detection," Neurosciences Res. Prog. Bull, 15, 492–517 (1977), Fig. A12.

Giese, S. C.

H. R. Wilson and S. C. Giese, "Threshold visibility of frequency gradient patterns," Vision Res. 17, 1177–1190 (1977).

Hubel, D. H.

D. H. Hubel and T. N. Wiesel, "Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex," J. Physiol. (London) 160, 106–154 (1962).

King-Smith, P. E.

J. J. Kulikowski and P. E. King-Smith, "Spatial arrangement of line, edge and grating detectors revealed by subthreshold summation," Vision Res. 13, 1455–1478 (1973).

Kulikowski, J. J.

J. J. Kulikowski and P. E. King-Smith, "Spatial arrangement of line, edge and grating detectors revealed by subthreshold summation," Vision Res. 13, 1455–1478 (1973).

Legge, G. E.

G. E. Legge, "Sustained and transient mechanisms in human vision: temporal and spatial properties," Vision Res. 18, 69–81 (1978).

Logan Jr., B. F.

B. F. Logan Jr., "Information in the zero-crossings of bandpass signals," Bell Sys. Techn. J. 56, 487–510 (1977).

Marr, D.

D. Marr and T. Poggio, "Theory of human stereopsis," J. Opt. Soc. Am. 67, 1400 (1977).

D. Marr, "Early processing of visual information," Phil. Trans. R. Soc. Lond. B 275, 483–524 (1976), p. 488.

D. Marr and T. Poggio, "A computational theory of human stereo vision," Proc. Roy. Soc. London B, (in press).

Nachmias, J.

Poggio, T.

D. Marr and T. Poggio, "Theory of human stereopsis," J. Opt. Soc. Am. 67, 1400 (1977).

D. Marr and T. Poggio, "A computational theory of human stereo vision," Proc. Roy. Soc. London B, (in press).

Robson, J. G.

M. B. Sachs, J. Nachmias, and J. G. Robson, "Spatial-frequency channels in human vision," J. Opt. Soc. Am. 61, 1176–1186 (1971).

F. W. Campbell and J. G. Robson, "Application of Fourier analysis to the visibility of gratings," J. Physiol. (London) 197, 551–556 (1968).

Sachs, M. B.

Shapley, R. M.

R. M. Shapley and D. J. Tolhurst, "Edge detectors in human vision," J. Physiol. (London) 229, 165–183 (1973).

Tolhurst, D. J.

R. M. Shapley and D. J. Tolhurst, "Edge detectors in human vision," J. Physiol. (London) 229, 165–183 (1973).

Wiesel, T. N.

D. H. Hubel and T. N. Wiesel, "Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex," J. Physiol. (London) 160, 106–154 (1962).

Wilson, H. R.

H. R. Wilson and S. C. Giese, "Threshold visibility of frequency gradient patterns," Vision Res. 17, 1177–1190 (1977).

Bell Sys. Techn. J. (1)

B. F. Logan Jr., "Information in the zero-crossings of bandpass signals," Bell Sys. Techn. J. 56, 487–510 (1977).

J. Opt. Soc. Am. (2)

D. Marr and T. Poggio, "Theory of human stereopsis," J. Opt. Soc. Am. 67, 1400 (1977).

M. B. Sachs, J. Nachmias, and J. G. Robson, "Spatial-frequency channels in human vision," J. Opt. Soc. Am. 61, 1176–1186 (1971).

J. Physiol. (3)

R. M. Shapley and D. J. Tolhurst, "Edge detectors in human vision," J. Physiol. (London) 229, 165–183 (1973).

F. W. Campbell and J. G. Robson, "Application of Fourier analysis to the visibility of gratings," J. Physiol. (London) 197, 551–556 (1968).

D. H. Hubel and T. N. Wiesel, "Receptive fields, binocular interaction and functional architecture in the cat’s visual cortex," J. Physiol. (London) 160, 106–154 (1962).

Neurosciences Res. Prog. Bull (1)

J. D. Cowan, "Some remarks on channel bandwidths for visual contrast detection," Neurosciences Res. Prog. Bull, 15, 492–517 (1977), Fig. A12.

Phil. Trans. R. Soc. Lond. B (1)

D. Marr, "Early processing of visual information," Phil. Trans. R. Soc. Lond. B 275, 483–524 (1976), p. 488.

Vision Res. (3)

H. R. Wilson and S. C. Giese, "Threshold visibility of frequency gradient patterns," Vision Res. 17, 1177–1190 (1977).

J. J. Kulikowski and P. E. King-Smith, "Spatial arrangement of line, edge and grating detectors revealed by subthreshold summation," Vision Res. 13, 1455–1478 (1973).

G. E. Legge, "Sustained and transient mechanisms in human vision: temporal and spatial properties," Vision Res. 18, 69–81 (1978).

Other (1)

D. Marr and T. Poggio, "A computational theory of human stereo vision," Proc. Roy. Soc. London B, (in press).

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