is there any intuitive way to understand how pixels in the spatial domain translate to points in the frequency domain? I understand that the farther you are from the origin in the frequency domain, the higher the signal that is present, but I have no intuitive understanding as to why

et-yao

Adding on to that, what does the relative shade of each dot represent? i.e. grey vs white. Is it amplitude?

ellinzhao

Since this example only has changes in pixel intensities in the $x$ direction, maybe reduce the spatial domain to a single row of the image and think about what frequency that row is.

is there any intuitive way to understand how pixels in the spatial domain translate to points in the frequency domain? I understand that the farther you are from the origin in the frequency domain, the higher the signal that is present, but I have no intuitive understanding as to why

Adding on to that, what does the relative shade of each dot represent? i.e. grey vs white. Is it amplitude?

Since this example only has changes in pixel intensities in the $x$ direction, maybe reduce the spatial domain to a single row of the image and think about what frequency that row is.