Morton Order
Morton Order, also known as Z-order or Lebesgue curve, is a space-filling curve that maps multi-dimensional data to a one-dimensional linear order while preserving spatial locality. It interleaves the bits of coordinate values to create a single integer index, enabling efficient spatial queries and data organization. This technique is widely used in computer graphics, geographic information systems (GIS), and database indexing to improve cache performance and reduce computational overhead.
Developers should learn Morton Order when working with spatial data structures like quadtrees, octrees, or grid-based systems, as it optimizes nearest-neighbor searches and range queries. It is particularly useful in game development for collision detection, in GIS for handling large-scale map data, and in scientific computing for parallel processing of multi-dimensional arrays. By preserving spatial proximity, it reduces memory access patterns and enhances performance in applications requiring frequent spatial operations.