A new algorithm for fitting a rectilinear x-monotone curve to a set of points in the plane
Pattern Recognition Letters
Computing obnoxious 1-corner polygonal chains
Computers and Operations Research
Approximating a set of points by a step function
Journal of Visual Communication and Image Representation
Computing obnoxious 1-corner polygonal chains
Computers and Operations Research
Rectilinear approximation of a set of points in the plane
LATIN'06 Proceedings of the 7th Latin American conference on Theoretical Informatics
Computing shortest heterochromatic monotone routes
Operations Research Letters
Computing an obnoxious anchored segment
Operations Research Letters
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In this paper we consider some problems that belong to the interplay between the field of Facility Location and the area of Computational Geometry. Specifically, given a setS of points in the plane, we discuss several variations of the problem of finding monotone 1-corner polygonal chains that minimize the maximum vertical distance toS.