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Although constructing the convex layers by repeatedly finding convex hulls would be slower, it is possible to partition any set of <math>n</math> points into its convex layers in time <math>O(n\log n)</math>.<ref name="c85"/>
An early application of the convex layers was in [[robust statistics]], as a way of identifying [[
| last = Barnett | first = V.
| doi = 10.2307/2344839
|