Heaphull?
@inproceedings{Mantler2001Heaphull, title={Heaphull?}, author={Andrea Mantler and Jack Snoeyink}, booktitle={CCCG}, year={2001} }
Because Heapsort was the one major sorting algorithm without a corresponding planar convex hull algorithm, we present a planar convex hull algorithm, Heaphull, whose main data structure is a kinetic heap. Unfortunately, the best bound on the running time that we can establish is O(n lg n).
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