A
quadtree is a
tree data structure in which each internal node has exactly four children. Quadtrees are most often used to partition a two-dimensional space by recursively subdividing it into four quadrants or regions. The regions may be square or rectangular, or may have arbitrary shapes. This data structure was named a quadtree by
Raphael Finkel and
J.L. Bentley in 1974. A similar partitioning is also known as a
Q-tree. All forms of quadtrees share some common features:
- They decompose space into adaptable cells
- Each cell (or bucket) has a maximum capacity. When maximum capacity is reached, the bucket splits
- The tree directory follows the spatial decomposition of the quadtree.