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Full-Text Articles in Theory and Algorithms
Minimax And Maximin Fitting Of Geometric Objects To Sets Of Points, Yan B. Mayster
Minimax And Maximin Fitting Of Geometric Objects To Sets Of Points, Yan B. Mayster
Electronic Theses and Dissertations
This thesis addresses several problems in the facility location sub-area of computational geometry. Let S be a set of n points in the plane. We derive algorithms for approximating S by a step function curve of size k < n, i.e., by an x-monotone orthogonal polyline ℜ with k < n horizontal segments. We use the vertical distance to measure the quality of the approximation, i.e., the maximum distance from a point in S to the horizontal segment directly above or below it. We consider two types of problems: min-ε, where the goal is to minimize the error for a …