Nonlocal determination of brightness in spatially periodic patterns

Recent data require nonlinear spatial summation processes in models for detection of spatially periodic and aperiodic patterns. Contrast matching experiments with suprathreshold grating and spot patterns suggest that nonlinear models may be required for suprathreshold contrast data, but differences between the psychophysical tasks used with periodic and aperiodic patterns make comparison difficult. A series of experiments are reported in which subjects matched local brightnesses and brightness differences within single cycles of grating patterns. This task closely resembles the matching task in classical contrast experiments with aperiodic stimuli, allowing comparison of the data from the two types of experiments. Brightnesses within a 5-cycle/degree (c/deg) sinusoidal grating were largely unaffected by addition of a large 15-c/deg modulation component in either of two phases, in spite of the resulting large change in local luminances within the pattern. As at threshold, complex models are required in order to account for apparent differences between spatial interactions within periodic and aperiodic patterns.