I am studying discrete Fourier transform (my question is about 2D DFTs) and comparing my results with some examples I found on the web. At first, I thought my results were wrong as they looked different (with similar inputs, different outputs) until I realized that the outputs of the DFTs I was looking at on the Web had been shifted (quadrants 1 and 3, and 2 and 4 are swapped). That is the standard way by which results of 2D DFTs are displayed/presented (or so it seems).
Why is it so? Is there any practical reason? For example it facilitates processing down the line, like kernel multiplication?