Plus Advent Calendar Door #5: Catching waves

A CAT scan of the inside of a head.

A CAT scan of the inside of a head.

"Deck the halls with boughs of holly, fa, la, la, la, la, la, la, la, la!" Are you loving the ubiquitous Christmas carols? A piece of mathematics is to thank for the online availability of carols, and any other music you can think of.

Digital music and images would be impossible without Fourier transforms and it has applications in anything from medical imaging to landmine detection. In this interview from 2008 we asked Chris Budd what the Fourier transform does, and how it does it. This podcast accompanies the Plus article Saving lives: The mathematics of tomography.

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