Two of my books (BEI and PVI) contain a favorite illustration of mine, showing a 2-D plane of data and how it changes as it is taken to Fourier space. I like showing it because the concepts are really basic, and they come across more clearly in person than on paper. Here you have links to the video (56:14 minutes).
- Let's dig up some data (6:40) here, or at youtube.
- How do we compute the 2-D Fourier Transform? (11:51) here or at youtube.
- Quiz on the meaning of the results (4:26) here or at youtube.
- Review of 1-D Fourier Transform (7:53) here or at youtube.
- Answers to the easy questions (14:35) ©Jon Claerbout
- A hard question (2:22) here or at youtube.
- Answer to the hard question (5:01) ©Jon Claerbout
- Easy 3-D question (3:12) here or at youtube.