Abstract
We present an overview over recent work on map labeling with emphasis on labeling with leaders. The labels are assumed to be placed on the boundary of the map while they are connected to the corresponding graphical features by polygonal lines, the so-called leaders. On various models and methods we demonstrate an impressive example for an application where a whole range of algorithmic techniques have successfully been applied.
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References
Agarwal, P.K., Efrat, A., Sharir, M.: Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications. In: Proc. 11th Annu. ACM Sympos. Comput. Geom., pp. 39–50 (1995)
Agarwal, P., van Kreveld, M., Suri, S.: Label placement by maximum independent set in rectangles. Computational Geometry: Theory and Applications 11, 209–218 (1998)
Bekos, M., Kaufmann, M., Symvonis, A., Wolff, A.: Boundary labeling: Models and efficient algorithms for rectangular maps. In: Pach, J. (ed.) GD 2004. LNCS, vol. 3383, pp. 49–59. Springer, Heidelberg (2005); An extended version appeared in Computational Geometry: Theory and Applications 36(3), 215–236 (2006)
Bekos, M.A., Kaufmann, M., Potika, K., Symvonis, A.: Multi-stack Boundary Labeling Problems. In: Arun-Kumar, S., Garg, N. (eds.) FSTTCS 2006. LNCS, vol. 4337, pp. 81–92. Springer, Heidelberg (2006)
Bekos, M., Kaufmann, M., Potika, K., Symvonis, A.: Polygons Labelling of Minimum Leader Length. In: Proc. Asia Pacific Symposium on Information Visualisation (APVIS 2006). CRPIT 60, pp. 15–21 (2006)
Bekos, M., Kaufmann, M., Potika, K., Symvonis, A.: Area-Feature Boundary Labeling. The Computer Journal (to appear)
Bekos, M., Kaufmann, M., Nöllenburg, M., Symvonis, A.: Boundary labeling with octilinear leaders. In: Gudmundsson, J. (ed.) SWAT 2008. LNCS, vol. 5124, pp. 234–245. Springer, Heidelberg (2008); An extended version is to appear in Algorithmica
Benkert, M., Haverkort, H., Kroll, M., Nöllenburg, M.: Algorithms for multi-criteria one-sided boundary labeling. In: Hong, S.-H., Nishizeki, T., Quan, W. (eds.) GD 2007. LNCS, vol. 4875, pp. 243–254. Springer, Heidelberg (2008)
Chazelle, B., 36 co-authors.: The computational geometry impact task force report. In: Chazelle, B., Goodman, J.E., Pollack, R. (eds.) Advances in Discrete and Computational Geometry, vol. 223, pp. 407–463. AMS (1999)
Christensen, J., Marks, J., Shieber, S.: Algorithms for cartographic label placement. In: Proceedings of the American Congress on Surveying and Mapping, vol. 1, pp. 75–89 (1993)
Formann, M., Wagner, F.: A packing problem with applications to lettering of maps. In: Proc. 7th ACM Symp. Comp. Geom (SoCG 1991), pp. 281–288 (1991)
Hershberger, J., Suri, S.: Applications of a semi-dynamic convex hull algorithm. BIT 32, 249–267 (1992)
Imhof, E.: Positioning Names on Maps. The American Cartographer 2, 128–144 (1975)
Iturriaga, C., Lubiw, A.: NP-hardness of some map labeling problems. Technical Report CS-97-18, University of Waterloo (1997)
Lin, C.-C., Kao, H.-J., Lin, C.-C.: Many-to-one boundary labeling. Journal of Graph Algorithms and Applications (JGAA) 12(3), 319–356 (2008)
Kuhn, H.W.: The Hungarian method for the assignment problem. Naval Research Logistic Quarterly 2, 83–97 (1955)
Mehlhorn, K.: Data Structures and Algorithms 3: Multi-dimensional Searching and Computational Geometry. EATCS Monographs on Theoretical Computer Science, vol. 3. Springer, Heidelberg (1984)
Neyer, G.: Map Labeling with Application to Graph Drawing. In: Kaufmann, M., Wagner, D. (eds.) Drawing Graphs. LNCS, vol. 2025, pp. 247–273. Springer, Heidelberg (2001)
Schmidt, V.A.: Reine Forschung, praktische Resultate. Newspaper article in Die Zeit (April 28, 1995)
Strijk, T., van Kreveld, M.: Labeling a rectilinear map more efficiently. Information Processing Letters 69(1), 25–30 (1999)
Tufte, E.R.: The Visual Display of Quantitative Information. Graphics Press (1983)
Vaidya, P.M.: Geometry helps in matching. SIAM J. Comput. 18, 1201–1225 (1989)
Verweij, B., Aardal, K.: An optimisation algorithm for maximum independent set with applications in map labelling. In: Nešetřil, J. (ed.) ESA 1999. LNCS, vol. 1643, pp. 426–437. Springer, Heidelberg (1999)
Wolff, A.: The Map-Labeling Bibliography (1996), http://i11www.ira.uka.de/map-labeling/bibliography/
Wagner, F.: Approximate map labeling is in Omega (n log n). Technical Report B 93-18, Fachbereich Mathematik und Informatik, Freie Universitat Berlin (1993)
Wagner, F., Wolff, A.: Map labeling heuristics: provably good and practically useful. In: Proceedings of the eleventh annual symposium on Computational geometry, pp. 109–118 (1995)
Wagner, F., Wolff, A.: A combinatorial framework for map labeling. In: Whitesides, S.H. (ed.) GD 1998. LNCS, vol. 1547, pp. 316–331. Springer, Heidelberg (1998)
Yoeli, P.: The Logic of Automated Map Lettering. The Cartographic Journal 9, 99–108 (1972)
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Kaufmann, M. (2009). On Map Labeling with Leaders. In: Albers, S., Alt, H., Näher, S. (eds) Efficient Algorithms. Lecture Notes in Computer Science, vol 5760. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03456-5_20
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DOI: https://doi.org/10.1007/978-3-642-03456-5_20
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