Module 4: Index Structures
Lecture 14: Quadtrees and k-d-trees
Algorithms for k-d trees
Bulk-loading takes
time
Insertion takes
time
Deletion involves nding "suitable"
dimensional value from subtree
Since subtrees are ordered on other dimensions, this reduces to an exhaustive search.
search time for point queries
search time for range queries where
is size of the answer set
Partial range searching time for s dimensions is