Detecting the displacements of spatial beats: No role for distortion products

When two sinusoidal gratings of the same orientation and similar spatial frequency are summed, the resulting pattern has a periodic spatial variation or beat in contrast. Although the pattern contains no luminance modulation component at the beat frequency, it behaves in some respects as if it did: human observers for example are very good at detecting spatial displacements of the beat. We wished to test the possibility that a non-linearity in the visual system generates a component (a "distortion product") at the beat frequency, and that it is displacement of the distortion product that observers detect. Attempting to "null" the distortion product by adding to the beat pattern a sinusoidal component of the same spatial frequency as the distortion product but 180 deg out of phase with it does not impair performance in detecting motion of the beat; there is no nulling at any amplitude of the added component. Reducing the phase shift of the hypothetical distortion product by adding a static sinusoid to the moving beat pattern fails to produce the predicted fall in performance. These results suggest that distortion products do not contribute to our sensitivity to the displacement of beat patterns. Reversing the contrast of a beat pattern when it is displaced, slightly increases sensitivity to displacement, the same manipulation impairs performance with luminance patterns. This is consistent with the notion that the beat is detected as an unsigned local contrast signal.

[1]  J. van Santen,et al.  Temporal covariance model of human motion perception. , 1984, Journal of the Optical Society of America. A, Optics and image science.

[2]  David R. Badcock,et al.  Detection of spatial beats: Non-linearity or contrast increment detection? , 1986, Vision Research.

[3]  A. Derrington,et al.  Separate detectors for simple and complex grating patterns? , 1985, Vision Research.

[4]  D. Baylor,et al.  Spectral sensitivity of single cones in the retina of Macaca fascicularis , 1984, Nature.

[5]  David R. Badcock,et al.  Detecting the displacement of periodic patterns , 1985, Vision Research.

[6]  Janette Atkinson,et al.  Channels in Vision: Basic Aspects , 1978 .

[7]  P. Lennie,et al.  Spatial frequency analysis in the visual system. , 1985, Annual review of neuroscience.

[8]  J. Robson Spatial and Temporal Contrast-Sensitivity Functions of the Visual System , 1966 .

[9]  Andrew M. Derrington Distortion products in geniculate X-cells: A physiological basis for masking by spatially modulated gratings? , 1987, Vision Research.

[10]  D. Broadbent,et al.  Some experiments bearing on the hypothesis that the visual system analyses spatial patterns in independent bands of spatial frequency , 1975, Vision Research.

[11]  E H Adelson,et al.  Spatiotemporal energy models for the perception of motion. , 1985, Journal of the Optical Society of America. A, Optics and image science.

[12]  J. Robson,et al.  Discrimination at threshold: Labelled detectors in human vision , 1981, Vision Research.

[13]  John M. Findlay,et al.  Estimates on probability functions: A more virulent PEST , 1978 .

[14]  J. Nachmias,et al.  Masking by spatially-modulated gratings , 1983, Vision Research.

[15]  D. G. Albrecht,et al.  Spatial frequency selectivity of cells in macaque visual cortex , 1982, Vision Research.