Mixed Map Labeling

Mixed Map Labeling

Point feature map labeling is a geometric visualization problem, in which a set of input points must be labeled with a set of disjoint rectangles (the bounding boxes of the label texts). It is predominantly motivated by label placement in maps but it also has other visualization applications. Typically, labeling models either use internal labels, which must touch their feature point, or externa...

Combining Traditional Map Labeling with Boundary Labeling

The traditional map labeling problems are mostly NP-hard. Hence, effective heuristics and approximations have been developed in the past. Recently, efficient algorithms for the so-called boundary labeling model have been introduced which assumes that the labels are placed on the boundary of the map and connected by polygonal leaders to their corresponding sites. Internal labels have been forbid...

Map Labeling with Circles

We study two geometric optimization problems motivated by cartographic applications: Map Labeling with Uniform Circles (MLUC) and Map Labeling with Uniform Circle Pairs (MLUCP). We show that the decision problems of both MLUC and MLUCP are NP-hard, and that the related optimization problems for maximizing the label sizes are NP-hard to approximate within factor 1.0349. We design approximation a...

Trajectory-Based Dynamic Map Labeling

In this paper we introduce trajectory-based labeling, a new variant of dynamic map labeling, where a movement trajectory for the map viewport is given. We define a general labeling model and study the active range maximization problem in this model. The problem isNP-complete andW[1]-hard. In the restricted, yet practically relevant case that no more than k labels can be active at any time, we g...

Genetic algorithms for map labeling