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Transitions in Dynamic Point Labeling

Authors Thomas Depian, Guangping Li , Martin Nöllenburg , Jules Wulms

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  • 19 pages

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Author Details

Thomas Depian
  • Algorithms and Complexity Group, TU Wien, Austria
Guangping Li
  • Algorithm Engineering Group, TU Dortmund, Germany
Martin Nöllenburg
  • Algorithms and Complexity Group, TU Wien, Austria
Jules Wulms
  • Algorithms and Complexity Group, TU Wien, Austria

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Thomas Depian, Guangping Li, Martin Nöllenburg, and Jules Wulms. Transitions in Dynamic Point Labeling. In 12th International Conference on Geographic Information Science (GIScience 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 277, pp. 2:1-2:19, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)


The labeling of point features on a map is a well-studied topic. In a static setting, the goal is to find a non-overlapping label placement for (a subset of) point features. In a dynamic setting, the set of point features and their corresponding labels change, and the labeling has to adapt to such changes. To aid the user in tracking these changes, we can use morphs, here called transitions, to indicate how a labeling changes. Such transitions have not gained much attention yet, and we investigate different types of transitions for labelings of points, most notably consecutive transitions and simultaneous transitions. We give (tight) bounds on the number of overlaps that can occur during these transitions. When each label has a (non-negative) weight associated to it, and each overlap imposes a penalty proportional to the weight of the overlapping labels, we show that it is NP-complete to decide whether the penalty during a simultaneous transition has weight at most k. Finally, in a case study, we consider geotagged Twitter data on a map, by labeling points with rectangular labels showing tweets. We developed a prototype implementation to evaluate different transition styles in practice, measuring both number of overlaps and transition duration.

Subject Classification

ACM Subject Classification
  • Theory of computation → Computational geometry
  • Human-centered computing → Geographic visualization
  • Dynamic labels
  • Label overlaps
  • Morphs
  • NP-completeness
  • Case study


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  1. Pankaj K. Agarwal, Marc J. van Kreveld, and Subhash Suri. Label placement by maximum independent set in rectangles. Comput. Geom., 11(3-4):209-218, 1998. URL:
  2. Lukas Barth, Benjamin Niedermann, Martin Nöllenburg, and Darren Strash. Temporal map labeling: a new unified framework with experiments. In Proc. 24th SIGSPATIAL, pages 1-10, 2016. URL:
  3. Ken Been, Eli Daiches, and Chee-Keng Yap. Dynamic map labeling. IEEE Trans. Vis. Comput. Graph., 12(5):773-780, 2006. URL:
  4. Ken Been, Martin Nöllenburg, Sheung-Hung Poon, and Alexander Wolff. Optimizing active ranges for consistent dynamic map labeling. Comput. Geom., 43(3):312-328, 2010. URL:
  5. Sujoy Bhore, Robert Ganian, Guangping Li, Martin Nöllenburg, and Jules Wulms. Worbel: Aggregating point labels into word clouds. In Proc. 29th SIGSPATIAL, pages 256-267, 2021. URL:
  6. Sujoy Bhore, Guangping Li, and Martin Nöllenburg. An Algorithmic Study of Fully Dynamic Independent Sets for Map Labeling. In Proc. 28th ESA, pages 19:1-19:24, 2020. URL:
  7. Kevin Buchin and Dirk H. P. Gerrits. Dynamic Point Labeling is Strongly PSPACE-Complete. Int. J. Comput. Geom. Appl., 24(4):373, 2014. URL:
  8. Kevin Buchin, Valentin Polishchuk, Leonid Sedov, and Roman Voronov. Geometric Secluded Paths and Planar Satisfiability. In Proc. 36th SoCG, pages 24:1-24:15, 2020. Google Scholar
  9. Mark de Berg and Dirk H. P. Gerrits. Labeling Moving Points with a Trade-Off between Label Speed and Label Overlap. In Proc. 21st ESA, pages 373-384, 2013. URL:
  10. Thomas Depian, Guangping Li, Martin Nöllenburg, and Jules Wulms. Transitions in Dynamic Map Labeling, 2022. URL:
  11. Michael Formann and Frank Wagner. A packing problem with applications to lettering of maps. In Proc. 7th SoCG, pages 281-288, 1991. Google Scholar
  12. Andreas Gemsa, Martin Nöllenburg, and Ignaz Rutter. Consistent Labeling of Rotating Maps. J. Comput. Geom., 7(1):308-331, 2016. URL:
  13. Fabian Klute, Guangping Li, Raphael Löffler, Martin Nöllenburg, and Manuela Schmidt. Exploring Semi-Automatic Map Labeling. In Proc. 27th SIGSPATIAL, pages 13-22, 2019. URL:
  14. Filip Krumpe. Labeling points of interest in dynamic maps using disk labels. In Proc. 10th GIScience, pages 8:1-8:14, 2018. URL:
  15. Chung-Shou Liao, Chih-Wei Liang, and Sheung H. Poon. Approximation algorithms on consistent dynamic map labeling. Theor. Comput. Sci., 640:84-93, 2016. URL:
  16. Wouter Meulemans, Bettina Speckmann, Kevin Verbeek, and Jules Wulms. A Framework for Algorithm Stability and Its Application to Kinetic Euclidean MSTs. In Proc. 13th LATIN, pages 805-819, 2018. URL:
  17. George A. Miller. The Magical Number Seven, Plus or Minus Two: Some Limits on Our Capacity for Processing Information. Psychological review, 63(2):81-97, 1956. URL:
  18. Benjamin Niedermann and Martin Nöllenburg. An algorithmic framework for labeling road maps. In Jennifer A. Miller, David O'Sullivan, and Nancy Wiegand, editors, Proc. 9th GIScience, pages 308-322, 2016. URL:
  19. Jakob Nielsen. Usability Engineering. Academic Press, 1993. Google Scholar
  20. Ronald A. Rensink, John K. O'Regan, and James J. Clark. To See or not to See: The Need for Attention to Perceive Changes in Scenes. Psychological Science, 8(5):368-373, 1997. URL:
  21. Arthur van Goethem, Marc J. van Kreveld, and Bettina Speckmann. Circles in the water: Towards island group labeling. In Proc. 9th GIScience, pages 293-307, 2016. URL:
  22. Marc J. van Kreveld, Tycho Strijk, and Alexander Wolff. Point labeling with sliding labels. Comput. Geom., 13(1):21-47, 1999. URL:
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