There are three kinds of cubic filters:
1. Basic Cubic Filter - This is the simplest type, it calculates the average value of a cubic voxel neighborhood
2. Gaussian Cubic Filter - Gaussian-like filter, where the weigth of a neighboring voxel is the reciprocal of its Manhattan distance* from the current voxel.
3. Gaussian Spherical Filter - Similar to the previous type, but instead of Manhattan distance an Euclidean distance** is calculated.
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*The distance between two points (x, y) and (u, v) given by the metric d = (x-u) + (y-v)
**The distance between two points is the length of the path connecting them. In the plane, the distance between points and is given by the Pythagorean theorem, (1) In Euclidean three-space, the distance between points and is (2) In general, the distance between points
I thought this was a common fact ...
REHAB IS FOR QUITTERS