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Using (fully- or semi-)[[Dynamic convex hull]] data structures, the simplification performed by the algorithm can be accomplished in <math>O(n\log n)</math> time <ref>{{cite techreport |last1 = Hershberger |first1 = John |first2 = Jack |last2 = Snoeyink |title = Speeding Up the Douglas-Peucker Line-Simplification Algorithm |date = 1992 | url = http://www.bowdoin.edu/~ltoma/teaching/cs350/spring06/Lecture-Handouts/hershberger92speeding.pdf}}</ref>.
== See also ==
* [[Curve fitting]]
Alternative algorithms for line simplification include:
* [[Visvalingam–Whyatt algorithm|Visvalingam–Whyatt]]
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