3 research outputs found
An Algorithmic Framework for Labeling Road Maps
Given an unlabeled road map, we consider, from an algorithmic perspective,
the cartographic problem to place non-overlapping road labels embedded in their
roads. We first decompose the road network into logically coherent road
sections, e.g., parts of roads between two junctions. Based on this
decomposition, we present and implement a new and versatile framework for
placing labels in road maps such that the number of labeled road sections is
maximized. In an experimental evaluation with road maps of 11 major cities we
show that our proposed labeling algorithm is both fast in practice and that it
reaches near-optimal solution quality, where optimal solutions are obtained by
mixed-integer linear programming. In comparison to the standard OpenStreetMap
renderer Mapnik, our algorithm labels 31% more road sections in average.Comment: extended version of a paper to appear at GIScience 201
Label Placement in Road Maps
A road map can be interpreted as a graph embedded in the plane, in which each
vertex corresponds to a road junction and each edge to a particular road
section. We consider the cartographic problem to place non-overlapping road
labels along the edges so that as many road sections as possible are identified
by their name, i.e., covered by a label. We show that this is NP-hard in
general, but the problem can be solved in polynomial time if the road map is an
embedded tree.Comment: extended version of a CIAC 2015 pape