Gabor Filter

Simple Cells in Primary Visual Cortex (V1) function as Gabor filters and respond primarily to bars of particular orientation. These are formulated by the multiplication of a Gaussian function and a harmonic function. The formula that describes their function is


 * $$ G (x, y)= e^{-\pi[\frac{(x-x_0)^2}{\alpha^2}+\frac{(y-y_0)^2}{\beta^2}]}e^{-2\pi i(u_0x+v_0y)} $$

Here is an example application of this filter in the proccessing of visual stimuli.