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  • Computing a center-transversal line
    Cabello, Sergio ; Sellarès, J. Antoni
    A center-transversal line for two finite point sets in three dimensions is a line with the property that any closed halfspace that contains it has at least one third of each poit set inside. A center ... transversal line always exists, and we provide an algorithm that finds a center-transversal line in ▫$O(n^8)$▫ worst-case time. Algorithms that describe all center-transversal lines, find a deepest line, and find an almost-deepest line are also presented.
    Type of material - conference contribution
    Publish date - 2005
    Language - english
    COBISS.SI-ID - 13614425