Name of the generalization of quadtree and octree?
Since the generalization of quadrants and octants is the orthant, I'd have thought "orthtree" would make sense. But I only turned up one or two papers using this term. The term "hyperoctree" seems to be far more common in the literature.
Strictly speaking, k-d trees are not a generalization of quadtrees/octrees, but it may be what you are looking for: http://en.wikipedia.org/wiki/K-d_tree