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A quadtree does the same thing for two-dimensional space. It takes a rectangular region and divides it into four equal quadrants: northwest, northeast, southwest, southeast. If a quadrant has too many points in it, it subdivides again and again. Each subdivision creates smaller and smaller cells where points are densely packed.

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Comparison between the TIN, Knoll’s algorithm, and N-convex dithering using an 8-colour irregular palette. Left to right: TIN, Knoll, N-convex (N=4).

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