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SciPy Scientific Computing Tutorial• 5 min read

Spatial Data & KD-Trees

Explore spatial data structures and ultra-fast Nearest-Neighbor lookups using KDTree.

Fast Spatial Lookups with KDTree

When searching through millions of coordinate points, a KDTree organizes points hierarchically, allowing nearest-neighbor queries in O(log N) time.

Nearest Neighbor Query with KDTree
from scipy.spatial import KDTree

points = [(1, 2), (3, 4), (8, 9), (12, 15)]
tree = KDTree(points)
distance, index = tree.query((2, 3))

print("Closest point:", points[index], "with distance:", round(distance, 3))
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Test Yourself With Exercise

+15 XP

What time complexity does a KDTree offer for nearest-neighbor lookups on balanced geometric points?