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In this paper, we cope with the following problem: compute the size of theconvex hull of a configuration C, where the given data is the number ofseparating lines between any two points of the configuration (where the linesare generated by pairs of other points of the configuration).  We give an algorithm for the case that the convex hull is of size 3, and apartial algorithm and some directions for the case that the convex hull is ofsize bigger than 3.

Towards the computation of the convex hull of a configuration from its corresponding separating matrix