Fourier Transform of an Image

Ann Lee's V1_11 range image (log scale):

Vertical Gaussian applied to image:

Derivative of Vertical Gaussian applied to image:
The assumtion here is that this image is equivalent to the derivative of the above image.

Below, we plot the 1D fourier transform of columns of this image,
as well as the quotient of these two transforms.
The current column is shifting rightward over time.