Skip to main content

Topologically Consistent Selective Progressive Transmission

  • Chapter
  • First Online:

Part of the book series: Lecture Notes in Geoinformation and Cartography ((LNGC,volume 1))

Abstract

Progressive transmission represents a viable solution to the challenges presented by the transmission of large vector data sets over the Internet. Previous implementations have considered progressive transmission as the reverse of map generalization. In an adaptive or selective progressive transmission strategy, the order of transmission can vary between clients and generally will not equal the reverse of the corresponding generalization. In this context, we propose that generalization can only represent a pre-processing step to a distinct selective progressive transmission process. One of the greatest challenges in implementation of such an approach is determining topological equivalence with the original map. We propose this problem may be represented in the form of three challenges. We perform a formal mathematical analysis of solutions to these challenges and present a corresponding implementation.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ai, T., Li, Z., Liu, Y. (2005) Developments in Spatial Data Handling. In: Progressive Transmission of Vector Data Based on Changes Accumulation Model,Springer Berlin Heidelberg, pp. 85–96.

    Google Scholar 

  • Bertolotto, M. (2007) Progressive Techniques for Efficient Vector Map Data Transmission. In: Spatial Data on the Web: Modelling and Management.Springer-Verlag. pp. 65–84.

    Google Scholar 

  • Bertolotto, M., Egenhofer, M. J. (2001) Progressive Transmission of Vector Map Data Over the World Wide Web. In: Geoinformatica 5(4), pp. 345–373.

    Article  Google Scholar 

  • Cicerone, S., Frigioni, D., Felice, P. D. (2002) A General Strategy for Decomposing Topological Invariants of Spatial Databases and an Application. In: Data and Knowledge Engineering 42 (1), pp. 57–87.

    Article  Google Scholar 

  • Corcoran, P. and Mooney, P. and and Winstanley A.C. (2011) Planar and Non-Planar Topologically Consistent Vector Map Simplification. In: International Journal of Geographical Information Science, In Press.

    Google Scholar 

  • da Silva, A. C. G., Wu, S.-T. (2006) A Robust Strategy for Handling Linear Features in Topologically Consistent Polyline Simplification. In: GeoInfo. pp. 19–34.

    Google Scholar 

  • de Berg, M., van Kreveld, M., Schirra, S. (1998) Topologically Correct Subdivision Simplification Using the Bandwidth Criterion. In: Cartography and Geographic Information Systems 25(4), pp. 243–257.

    Article  Google Scholar 

  • Giezeman, G.J. and Wesselink, W. (2008) 2D Polygons. In: C.E. Board, ed. CGAL User and Reference Manual.

    Google Scholar 

  • Hamid, A. A., Ahmed, M., Helmy, Y. (2010) Enhanced Progressive Vector Data Transmission For Mobile Geographic Information Systems (MGIS). In: Innovations and Advances in Computer Sciences and Engineering, Springer Netherlands, pp. 61–66.

    Google Scholar 

  • Jones, C. (1997) Geographical Information Systems and Computer Cartography. Prentice Hall.

    Google Scholar 

  • Jones, C., Ware, J. (2005) Map generalization in the Web age. International Journal of Geographical Information Science 19(8-9), 859 – 870.

    Article  Google Scholar 

  • Kuijpers, B., Paredaens, J., Bussche, J. V. d. (1995) Lossless Representation of Topological Spatial Data. In: SSD ’95: Proceedings of the 4th International- Symposium on Advances in Spatial Databases. Springer-Verlag, London, UK, pp. 1–13.

    Google Scholar 

  • Kulik, L., Duckham, M., Egenhofer, M. (2005) Ontology-Driven Map Generalization. Journal of Visual Languages and Computing 16 (3), 245–267.

    Article  Google Scholar 

  • Latecki, L., Lakmper, R. (1999) Convexity rule for shape decomposition based on discrete contour evolution. Computer Vision and Image Understanding 73 (3), 441 – 454.

    Article  Google Scholar 

  • Mantler, A. and Snoeyink, J. (2000) Safe sets for line simplification, In: Proceedings of the 10th Annual Fall Workshop on Computational Geometry. Stony Brook, New York.

    Google Scholar 

  • Saalfeld, A. (1999) Topologically Consistent Line Simplification with the Douglas- Peucker Algorithm. Cartography and Geographic Information Science 26 (1), 7–18.

    Article  Google Scholar 

  • Weibel, R. (1996) Advances in GIS Research II (Proceedings 7th International Symposium on Spatial Data Handling). London: Taylor & Francis, Ch. A Typology of Constraints to Line Simplification, pp. 533–546.

    Google Scholar 

  • Weihua, D., (2008) Generating On-Demand Web Mapping Through Progressive Generalization. In: International Workshop on Education Technology and Training, 2 pp. 163–166.

    Google Scholar 

  • Yang, B., Purves, R., Weibel, R. (2007) Efficient Transmission of Vector Data Over the Internet. International Journal of Geographical Information Science 21(2), pp. 215–237.

    Article  Google Scholar 

  • Zhang, L., Kang, Z., Li, J., Yang, L. (2010) Web-Based Terrain and Vector Maps Visualization for Wenchuan Earthquake. International Journal of Applied Earth Observation and Geoinformation 12(6), pp. 439 – 447.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Padraig Corcoran .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Corcoran, P., Mooney, P. (2011). Topologically Consistent Selective Progressive Transmission. In: Geertman, S., Reinhardt, W., Toppen, F. (eds) Advancing Geoinformation Science for a Changing World. Lecture Notes in Geoinformation and Cartography(), vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19789-5_26

Download citation

Publish with us

Policies and ethics