Before revision: In this paper we study the following problem: we are given a set of imprecise points modeled as parallel line segments  , and we wish to place a point on each line segment such that the resulting point set maximizes /minimizes the size of the largest /smallest area k-gon.
After revision: In this paper we study the following problem: we are given a set of imprecise points modeled as parallel line segments in the plane , and we wish to place a point on each line segment such that the resulting point set maximizes /minimizes the size of the largest /smallest area k-gon.