| Abstract: |
| Negative afterimages are perceived to have opposite brightness or color for removed original images. In the subject of neurophysiology, it has been discussed that they are produced by responses of retinal nerve cells, and convolution integral models based on spatial-temporal receptive field structures of cells have been proposed. In particular, the temporal response is described by using the temporal impulse response (TIR) function and the spatial response is described by radial symmetrical Mexican-hat function. In this study, we propose a reaction-diffusion model based hierarchical interactions of retinal nerve cells, and we show that our model possesses the receptive field structure with the TIR function and the Mexican-hat function by representing the exact solution as the convolution integral. Moreover, we give using numerical computations a theoretical prediction that asymmetrical perception of afterimage rotations is induced by asymmetrical temporal responses of the horizontal cells which play an inhibitory effect in the retina processing. |
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