This is the same idea behind binary search. In a sorted array, you compare against the middle element and eliminate half the remaining candidates. In a quadtree, you choose one of four quadrants and ignore the other three regions. Each level narrows the search space by a factor of four instead of two.
A simple demonstration of the use of a probability matrix to select from two candidate colours. In this case, both colours contribute equally to the initial input colour. The normalised threshold matrix value at for a given pixel is compared against the cumulative probability of each candidate.，更多细节参见搜狗输入法2026
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