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QuadTree Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

QuadTree Setup

QuadTree Operations

QuadTree Visualization

Operation Steps

How to Use

  1. Insert Point: Enter X,Y coordinates and click "Insert Point"
  2. Sample Points: Click Sample Points to generate example quadtree.
  3. Search Point: Find specific points in the quadtree
  4. Reset: Clear the entire quadtree

QuadTree Concept

QuadTree is a tree data structure for partitioning 2D space by recursively subdividing into four quadrants.

Key Characteristics:

  • Each node has four children (NW, NE, SW, SE)
  • Subdivides space when capacity exceeded
  • Efficient for spatial queries
  • Adaptive spatial partitioning

Applications: Image processing, collision detection, spatial indexing, and geographic information systems.

Purpose & Applications

  • Image compression
  • Collision detection
  • Spatial databases
  • Geographic mapping
  • Computer graphics
  • Game development

Time & Space Complexity

Operation Average Case Worst Case
Insert O(log n) O(n)
Search O(log n) O(n)
Range Query O(log n + k) O(n)
Space O(n) O(n)

n = number of points, k = points in range

Strengths & Limitations

Strengths:

  • Efficient spatial queries
  • Adaptive partitioning
  • Good for sparse data
  • Scalable performance

Limitations:

  • Poor for uniform distribution
  • Memory overhead
  • Complex implementation

QuadTree Code Implementation

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