When using the probability matrix to pick from the candidate set, it is important that the candidate array be sorted in advance. Not doing so will fail to preserve the patterns distinctive of ordered dithering. A good approach is to sort the candidate colours by luminance, or the measure of a colour’s lightness4. When this is done, we effectively minimise the contrast between successive candidates in the array, making it easier to observe the pattern embedded the matrix.
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Quadtrees are everywhere spatial data exists. Mapping services use quadtree-like tile pyramids to serve map tiles at different zoom levels (Bing's quadkey system, for example, addresses tiles as base-4 paths). Game engines use them for collision detection and visibility culling. Geographic information systems use spatial indexes to store and query spatial datasets. PostGIS uses GiST indexes (R-tree-style) for spatial queries on geometries, while PostgreSQL's core supports quadtree-like SP-GiST indexes for certain data types like points.