Responses of simple and complex cells to compound sine-wave gratings

https://doi.org/10.1016/S0042-6989(88)80003-8Get rights and content

Abstract

We have studied the responses of simple and complex cells in the primary visual cortex of the cat to rigidly drifting compound sine-wave gratings as a function of the phase offset between fundamental and harmonic frequencies that both fell within the passband of the cell. Simple cells show phase-dependent increases and decreases in peak and mean response which are predictable on the basis of a cell's line weighting function. However, the amplitudes and phases of the base and harmonic frequencies in the response are, in general, not well predicted by the relationships of these same components in the compound grating stimuli. These distortions are shown to be largely a consequence of the rectification that follows linear summation at the simple cell stage. Such distortions are, in principle, correctable when the responses of a second simple cell, as part of a 180 deg phase pair, are taken into account. Complex cells typically showed a strong nonlinear response component at the difference frequency of drifting compound gratings. This was sometimes accompanied by a linear responses component at one, or both, of the separate stimulus frequencies. Information about the absolute phases of the frequency components of a compound grating is not preserved in the nonlinear response, of complex cells; however, information about the local phase difference between the gratings is preserved. In effect, the nonlinear component of the complex cell response is proportional to the time-varying signal envelope that results from the mutual interference of stimulus frequencies that fall in the cell's spatial receptive field and frequency passband.

References (21)

There are more references available in the full text version of this article.

Cited by (35)

  • Computational framework of the visual sensory system based on neuroscientific evidence of the ventral pathway

    2023, Cognitive Systems Research
    Citation Excerpt :

    Another function attributed to the primary visual cortex (V1) is the enhancement of the spatial invariance of the edges detected by the simple cells; biologically this process is performed by the complex cells. The mathematical model used to mimic the behavior of complex cells is called the Gabor energy model, used and accepted in various works to represent the receptive field of complex cells (Adelson & Bergen, 1985; Field, 1987; Mallot, 2013; Pollen et al., 1988; Shams & von der Malsburg, 2002; Spitzer & Hochstein, 1988). The advantage of using complex cells in this model is the reduction of edge information with specific orientations, especially if the image generates a great deal of edge information in the simple V1 cells.

  • Representation of higher-order statistical structures in natural scenes via spatial phase distributions

    2016, Vision Research
    Citation Excerpt :

    While a predominant view on the complex cells and cells in the higher visual area is that they are phase invariant (Albrecht et al., 1980;Movshon et al., 1978; Skottun et al., 1991), recent studies report evidence of phase sensitive cells (Crowder et al., 2007; Felsen et al., 2005; Hietanen et al., 2013; Mechler & Ringach, 2002; Mechler et al., 2002). Responses of phase invariant complex cells are described by an energy model (Eq. (3)) (Adelson et al., 1983; Hyvärinen & Hoyer, 2000; Hyvärinen & Köster, 2006; Pollen, Gaska, & Jacobson, 1988). Indeed, the two thirds of the complex RFs examined in this study exhibited uniform phase distributions (see Figs. 4 and A6).

View all citing articles on Scopus
View full text