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An Area Merge Operation for Smooth Zooming

  • Radan Šuba
  • Martijn Meijers
  • Lina Huang
  • Peter van Oosterom
Chapter
Part of the Lecture Notes in Geoinformation and Cartography book series (LNGC)

Abstract

When zooming a digital map it is often necessary that two or more area features must be merged. If this is done abruptly, it leads to big changes in geometry, perceived by the user as a “jump” on the screen. To obtain a gradual merge of two input objects to one output object this chapter presents three algorithms to construct a corresponding 3D geometry that may be used for the user’s smooth zooming operations. This is based on the assumption that every feature in the map is represented in 3D, where the 2D coordinates are the original representation, and 1D represents the scale as a Z value. Smooth zooming in or out is thus equivalent to the vertical movement of a horizontal slice plane (downwards or upwards).

Keywords

Delaunay Triangulation Opposite Boundary Slice Plane Vertical Face Tilted Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This research is supported by the Dutch Technology Foundation STW (project number 11185), which is part of the Netherlands Organisation for Scientific Research (NWO), and which is partly funded by the Ministry of Economic Affairs. Furthermore, we would like to thank the anonymous AGILE reviewers and Rod Thompson for their constructive comments, suggestions and questions. Extra thanks to Rod for correcting our English.

References

  1. Danciger J, Devadoss SL, Mugno J, Sheehy D, Ward R (2009) Shape deformation in continuous map generalization. GeoInformatica 13(2):203–221CrossRefGoogle Scholar
  2. Maceachren AM, Kraak M-J (1997) Exploratory cartographic visualization: advancing the agenda. Comput Geosci 23(4):335–343. doi:http://dx.doi.org/10.1016/S0098-3004(97)00018-6
  3. Meijers BM, van Oosterom PJM (2011) The space-scale cube: an integrated model for 2D polygonal areas and scale. Int Arch Photogram Remote Sens Spatial Inf Sci XXXVIII-4/C21:95–102. doi: 10.5194/isprsarchives-XXXVIII-4-C21-95-2011
  4. Midtbø T, Nordvik T, (2007) Effects of animations in zooming and panning pperations on web maps: a web-based experiment. Cartogr J 44(4):292–303. doi: 10.1179/000870407X241845
  5. Reilly DF, Inkpen KM (2004) Map morphing: making sense of incongruent maps. Paper presented at the proceedings of graphics interface 2004, London, Ontario, CanadaGoogle Scholar
  6. Reilly DF, Inkpen KM (2007) White rooms and morphing don’t mix: setting and the evaluation of visualization techniques. Paper presented at the proceedings of the SIGCHI conference on human factors in computing systems, San Jose, California, USAGoogle Scholar
  7. Robinson AH, Morrison JL, Muehrcke PC, Kimerling AJ, Guptill SC (1995) Dynamic/interactive mapping, Chap. 29. In: Robinson AH, Morrison JL, Muehrcke PC, Kimerling AJ, Guptill SC (eds) Elements of cartography, 6th edn. Wiley, New YorkGoogle Scholar
  8. Sester M, Brenner C (2005) Continuous generalization for visualization on small mobile devices. In: Peter Fisher (ed) Developments in spatial data handling. Springer, Berlin, pp 355–368. doi: 10.1007/3-540-26772-7_27
  9. Shewchuk JR (1996) Triangle: engineering a 2D quality mesh generator and delaunay triangulator. Paper presented at the selected papers from the workshop on applied computational geormetry, Towards Geometric EngineeringGoogle Scholar
  10. Šuba R, Meijers M, van Oosterom P (2013) 2D vario-scale representations based on real 3D structure. In: Proceedings of the 16th ICA generalization workshop, pp 1–11Google Scholar
  11. van Kreveld M (2001) Smooth generalization for continuous zooming. In: Proceedings of the 20th international cartographic conference, pp 2180–2185Google Scholar
  12. van Oosterom P (1990) Reactive data structures for geographic information systems. Ph.D. Theses, Department of Computer Science, Leiden University, The NetherlandsGoogle Scholar
  13. van Oosterom P (2005) Variable-scale topological data structures suitable for progressive data transfer: the gap-face tree and gap-edge forest. Cartography and geographic information science 32(4):331–346. doi: 10.1559/152304005775194782 CrossRefGoogle Scholar
  14. van Oosterom P, Meijers M (2011a) Towards a true vario-scale structure supporting smooth-zoom. In: Proceedings of 14th ICA/ISPRS workshop on generalisation and multiple representation, pp 1–19Google Scholar
  15. van Oosterom P, Meijers M (2011b) Vario-scale data structures supporting smooth zoom and progressive transfer of 2D and 3D data. NCG Jaarverslag, pp 21–42Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Radan Šuba
    • 1
  • Martijn Meijers
    • 1
  • Lina Huang
    • 1
    • 2
  • Peter van Oosterom
    • 1
  1. 1.Section GIS Technology, OTB—Research for the Built EnvironmentDelft University of TechnologyDelftThe Netherlands
  2. 2.School of Resource and Environmental ScienceWuhan UniversityWuhanChina

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