Lecture 3: Antialiasing (35)
danielhsu021202

How should I be thinking about the dots in the Frequency Domain? For me, intuitively what's on the left seems more like a "frequency" domain and the right a "spatial" domain..

kujjwal

I also had this question, and found the explanation here quite helpful: https://dsp.stackexchange.com/questions/1637/what-does-frequency-domain-denote-in-case-of-images

From my understanding, the original image in the spatial domain can be represented as the summation of rotated cosine and sine waves, and since those waves/"lines" in the spatial image occur periodically, the frequency domain can plot corresponding points for the frequency of each of these waves as they "ripple" across the image. Thus, the frequency domain picture is just stating the frequency of the waves present in the spatial domain.

Staffimjal

@danielhsu021202 This video I've linked shows what @kujjwal was attempting to describe in text. A picture of nicholas cage is being formed in the spatial domain by adding all of the rotated cosine and sine gratings from low to high freqency. Hope this helps!

Credit to Austin Roorda for showing this in VS260A: https://www.youtube.com/watch?v=8OFV4E56wJU

JunoLee128

It's still a bit confusing what the x and y axes are supposed to represent. They aren't really the same as the axes in the spatial domain; but they still correspond to the same x and y? It would help if there were labels, or more information showing how the two pictures are connected.

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