In the Boundary Labeling problem, we are given a set of n points, referred to as sites, inside an axis-parallel rectangle R, and a set of n pairwise disjoint rectangular labels that are attached to R from the outside. The task is to connect the sites to the labels by non-intersecting rectilinear paths, so-called leaders, with at most one bend. In this paper, we study the problem Two-Sided Boundary Labeling with Adjacent Sides, where labels lie on two adjacent sides of the enclosing rectangle. We present a polynomial-time algorithm that computes a crossing-free leader layout if one exists. So far, such an algorithm has only been known for the cases that labels lie on one side or on two opposite sides of R (where a crossing-free solution always exists). For the more difficult case where labels lie on adjacent sides, we show how to compute crossing-free leader layouts that maximize the number of labeled points or minimize the total leader length. © 2013 Springer-Verlag.
CITATION STYLE
Kindermann, P., Niedermann, B., Rutter, I., Schaefer, M., Schulz, A., & Wolff, A. (2013). Two-sided boundary labeling with adjacent sides. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8037 LNCS, pp. 463–474). https://doi.org/10.1007/978-3-642-40104-6_40
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