The Fourier Transform in Your Eyes

The transform is fundamental tool in science, but also is how your eyes see the world. There is a great YouTube channel called 3Blue1Brown. I would bet that you've heard of it, but in case not, it is a very popular math education channel by Grant Sanderson that heavily uses visualizations, with a particular style that has noticeably influenced many other YouTubers. I bring this up at the beginning because he recently did a set of videos on the Fourier Transform (FT), with a particular focus on explaining the Fourier-convolution theorem, which is pretty relevant to topics I work on so it caught my interest. Like all of Sanderson's content, it is wonderfully put together, and pertinently it inspired me to finally write up this article about a Fourier-related topic.