Use the PR quadtree to implement an efficient solution to Problem 6.5. That is, store the set of points in a PR quadtree. For each point, the PR quadtree is used to find those points within distance D...

Use the PR quadtree to implement an efficient solution to Problem 6.5. That is, store the set of points in a PR quadtree. For each point, the PR quadtree is used to find those points within distance D that should be equivalenced. What is the asymptotic complexity of this solution?

Select any two of the point representations described in this chapter (i.e., the k-d tree, the PR quadtree, the bintree, and the point quadtree). Implement your two choices and compare them over a wide range of data sets. Describe which is easier to implement, which appears to be more space efficient, and which appears to be more time efficient.