Other than preventing aliasing, are there other common uses for the mipmap? For example, in 194-26, we used an image pyramid to recursively and cheaply find an ideal offset in order to align RGB color channels to produce a colored image. It seems like there might be even more practical uses for the technique!
I think it's mainly that, from what I can tell: reduce compute/memory on GPU and CPU for applications like games.
storing pre-filtered images in the mipmap procedure also has the advantage of faster rendering times because of the improved locality of memory reads.