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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 11 — Nov. 1, 2001
  • pp: 2668–2678

Spatiotemporal interpolation and quality of apparent motion

Manfred Fahle, Anke Biester, and Concetta Morrone  »View Author Affiliations

JOSA A, Vol. 18, Issue 11, pp. 2668-2678 (2001)

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We investigate the conditions under which stimuli in apparent (sampled) motion are indistinguishable from those in smooth motion and compare this discrimination with the precision achieved by the visual system in interpolating apparent motion. In an initial experiment, observers were required to discriminate smooth from apparent motion, at variable step sizes, contrasts, velocities, and stimulus types (broadband line or bar stimuli and grating patches of different spatial frequency). Thresholds for discriminating smooth from sampled motion were ∼40 arc min under optimal conditions, corresponding to the diameter of foveal photoreceptors. The tolerated step size between stations increased with velocity, more so for low- than for high-spatial-frequency stimuli. Tolerated step size decreased with presentation duration and with stimulus contrast. A separate experiment examined precision of interpolation. Vernier offsets were produced through temporal delays along the trajectory of an apparent motion, and thresholds for the discrimination of direction of offset were measured as a function of speed of motion and of distance between stations of apparent motion. Perfect interpolation was achieved for distances between stations of ∼2 arc min. A model based on spatiotemporal filtering at an early stage of processing accounts well for the results of both types of experiments.

© 2001 Optical Society of America

OCIS Codes
(330.0330) Vision, color, and visual optics : Vision, color, and visual optics
(330.1070) Vision, color, and visual optics : Vision - acuity
(330.4060) Vision, color, and visual optics : Vision modeling
(330.4150) Vision, color, and visual optics : Motion detection
(330.6790) Vision, color, and visual optics : Temporal discrimination

Manfred Fahle, Anke Biester, and Concetta Morrone, "Spatiotemporal interpolation and quality of apparent motion," J. Opt. Soc. Am. A 18, 2668-2678 (2001)

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  1. D. C. Burr, “Temporal summation of moving images by the human visual system,” Proc. R. Soc. London 211, 321–339 (1981).
  2. D. C. Burr, “Human vision in space and time,” in Proceedings of the International Union of Physiological Sciences (IUPS/American Physiological Society, Bethesda, Md., 1983), Vol. XV, p. 510.04.
  3. M. Fahle and T. Poggio, “Visual hyperacuity: spatio-temporal interpolation in human vision,” Proc. R. Soc. London Ser. B 213, 451–477 (1981).
  4. D. C. Burr, J. Ross, and M. C. Morrone, “Seeing objects in motion,” Proc. R. Soc. London 227, 249–265 (1986).
  5. D. C. Burr, J. Ross, and M. C. Morrone, “Smooth and sampled motion,” Vision Res. 26, 643–652 (1986).
  6. D. C. Burr and J. Ross, “Visual processing of motion,” Trends Neurosci. 9, 304–307 (1986).
  7. D. C. Burr and J. Ross, “How does binocular delay give information about depth?” Vision Res. 19, 523–532 (1979).
  8. M. J. Morgan and R. J. Watt, “On the failure of spatiotemporal interpolation: a filtering model,” Vision Res. 23, 997–1004 (1983).
  9. W. T. Newsome, A. Mikami, and R. H. Wurtz, “Motion selectivity in macaque visual cortex. III. Psychophysics and physiology of apparent motion,” J. Neurophysiol. 55, 1340–1351 (1986).
  10. A. B. Watson, A. J. Ahumada, and J. E. Farrell, “Window of visibility: a psychophysical theory of fidelity in time-sampled visual motion display,” J. Opt. Soc. Am. A 3, 300–307 (1986).
  11. M. Bach, “The Freiburg Visual Acuity Test—automatic measurement of the visual acuity,” Optom. Vision Sci. 73, 49–53 (1996).
  12. M. Fahle, S. Edelman, and T. Poggio, “Fast perceptual learning in hyperacuity,” Vision Res. 35, 3003–3013 (1995).
  13. E. De Luca and M. Fahle, “Learning of interpolation in 2 and 3 dimensions,” Vision Res. 39, 2051–2062 (1999).
  14. M. M. Taylor and C. D. Creelman, “PEST: efficient estimates on probability function,” J. Acoust. Soc. Am. 41, 782–787 (1967).
  15. S. J. Anderson and D. C. Burr, “Spatial and temporal selectivity of the human motion detection system,” Vision Res. 25, 1147–1154 (1985).

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