Skip to main content

Assigning Footprints to Dot Sets: An Analytical Survey

  • Conference paper
Spatial Information Theory (COSIT 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5756))

Included in the following conference series:

Abstract

While the generation of a shape, or footprint, from a set of points has been widely investigated, there has been no systematic overview of the field, with the result that there is no principled basis for comparing the methods used or selecting the best method for a particular application. In this paper we present a systematic classification of footprints, algorithms used for their generation, and the types of applications they can be used for. These classifications can be used to evaluate the suitability of different algorithms for different applications. With each algorithm is associated a vector of nine values classifying the footprints it can produce against a standard list of criteria, and a similar vector is associated with each application type to classify the footprints it requires. A discussion of, and a method for, the assessment of the suitability of an algorithm for an application is presented.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alani, H., Jones, C.B., Tudhope, D.: Voronoi-based region approximation for geographical information retrieval with gazetteers. International Journal of Geographical Information Science 15(4), 287–306 (2001)

    Article  MATH  Google Scholar 

  2. Arampatzis, A., van Kreveld, M., Reinacher, I., Jones, C.B., Vaid, S., Clough, P., Joho, H., Sanderson, M.: Web-based delineation of imprecise regions. In: Computers, Environment and Urban Systems, vol. 30, pp. 436–459. Elsevier, Amsterdam (2006)

    Google Scholar 

  3. Ray Chaudhuri, A., Chaudhuri, B.B., Parui, S.K.: A novel approach to computation of the shape of a dot pattern and extraction of its perceptual border. In: Computer Vision and Image Understanding, vol. 68, pp. 257–275. Academic Press, London (1997)

    Google Scholar 

  4. Duckham, M., Kulik, L., Worboys, M., Galton, A.: Efficient generation of simple polygons for characterizing the shape of a set of points in the plane. In: Pattern Recognition, vol. 41, pp. 3224–3236. Elsevier, Amsterdam (2008)

    Google Scholar 

  5. Edelsbrunner, H., Kirkpatrick, D.G., Seidel, R.: On the shape of a set of points in the plane. In: Computer Vision and Image Understanding, vol. IT-29, pp. 551–559. IEEE, Los Alamitos (1983)

    Google Scholar 

  6. Fieldsend, J.E., Bailey, T.C., Everson, R.M., Krzanowski, W.J., Partridge, D., Schetinin, V.: Bayesian inductively learned modules for safety critical systems. In: Computing Science and Statistics, vol. 35, pp. 110–125 (2003)

    Google Scholar 

  7. Fine, K.: Vagueness, truth and logic. Synthese 30(3-4), 265–300 (1975)

    Article  MATH  Google Scholar 

  8. Galton, A.: Pareto-optimality of cognitively preferred polygonal hulls for dot patterns. In: Freksa, C., Newcombe, N.S., Gärdenfors, P., Wölfl, S. (eds.) Spatial Cognition VI. LNCS, vol. 5248, pp. 409–425. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  9. Galton, A., Duckham, M.: What is the region occupied by a set of points? In: Raubal, M., Miller, H.J., Frank, A.U., Goodchild, M.F. (eds.) GIScience 2006. LNCS, vol. 4197, pp. 81–98. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Garai, G., Chaudhuri, B.B.: A split and merge procedure for polygonal border detection of dot pattern. In: Image and Vision Computing, vol. 17, pp. 75–82. Elsevier, Amsterdam (1999)

    Google Scholar 

  11. Jarvis, R.A.: On the identification of the convex hull of a finite set of points in the plane. In: Information Processing Letters, vol. 2, pp. 18–21. North-Holland Publishing Company, Amsterdam (1973)

    Google Scholar 

  12. Klette, R., Rosenfeld, A.: Digital Geometry: Geometric Methods for Digital Picture Analysis. Morgan Kaufmann, San Francisco (2004)

    MATH  Google Scholar 

  13. Moreira, A., Santos, M.Y.: Concave hull: A k-nearest neighbours approach for the computation of the region occupied by a set of points. In: International Conference on Computer Graphics Theory and Applications GRAPP (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dupenois, M., Galton, A. (2009). Assigning Footprints to Dot Sets: An Analytical Survey. In: Hornsby, K.S., Claramunt, C., Denis, M., Ligozat, G. (eds) Spatial Information Theory. COSIT 2009. Lecture Notes in Computer Science, vol 5756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03832-7_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-03832-7_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03831-0

  • Online ISBN: 978-3-642-03832-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics