A Fast Incremental Convex Hull Algorithm for Higher Dimensions

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1990

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An online algorithm is described which finds the facets of the convex hull of a set of points in d-dimensional space. For point sets chosen at random from some distribution, the algorithm is O(nl +F) for fixed d, where n is the number of points, l is the expected number of sides of a polygon defined by the intersection of a 2-flat with the polytope, and F is the expected number of facets.

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