I have trouble understanding in an intuitive way (not by writing complicated math formulas) what is value of $x$ & $y$ in the Gabor functions.
Here is the formula,
$g(x,y) = \frac{1}{2\pi\sigma_x\sigma_y}\exp\left[-\frac{1}{2}\left(\frac{x'^2}{\sigma_x^2}+\frac{y'^2}{\sigma_y^2}\right)\right]\exp\left[2\pi\cdot jWx'\right]$
Where
$x' = x \cos \theta + y \sin \theta \qquad(1)$
and
$y' = -x \sin \theta + y \cos \theta\qquad(2)$
Actually what will be the value of $x$ & $y$ in $(1)$ and $(2)$
Thanks