Plane waves in three dimensions
نویسنده
چکیده
We saw that a whitening filter in three dimensions is a small volume with shape defined by subroutine createhelix(). It might seem natural that the number of points on the xand y-axes be related to the number of plane waves present. Instead, I assert that if the volume contains plane waves, we don’t want a volume filter to whiten it; we can use a pair of planar filters to do so and the order of those filters is the number of planes thought to be simultaneously present. I have no firm mathematical proofs, but I offer you some interesting discussions, examples, and computer tools for you to experiment with. It seems that some applications call for the volume filter while others call for the two planes. Because two planes of numbers generally contain many fewer adjustable values than a volume, statistical-estimation reasons also favor the planes.
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