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From Random to Hierarchical Data through an Irregular Pyramidal Structure

  • Rimon Elias
  • Mohab Al Ashraf
  • Omar Aly
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5534)

Abstract

This paper proposes to transform data scanned randomly in a well-defined space (e.g, Euclidean) along a hierarchical irregular pyramidal structure in an attempt reduce search time consumed querying these random data. Such a structure is built as a series of graphs with different resolutions. Levels are constructed and surviving cells are chosen following irregular irregular pyramidal rules and according to a proximity criterion among the space points under consideration. Experimental results show that using such a structure to query data can save considerable search time.

Keywords

Irregular pyramids hierarchical structure point clustering hierarchical visualization multiresolution visualization 

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References

  1. 1.
    Andrews, K., Heidegger, H.: Information slices: Visualising and exploring large hierarchies using cascading, semi-circular discs. In: IEEE InfoVis 1998, pp. 9–12 (1998)Google Scholar
  2. 2.
    Balzer, M., Deussen, O., Lewerentz, C.: Voronoi treemaps for the visualization of software metrics. In: Proc. ACM SoftVis 2005, New York, USA, pp. 165–172 (2005)Google Scholar
  3. 3.
    Beaudoin, L., Parent, M.-A., Vroomen, L.C.: Cheops: a compact explorer for complex hierarchies. In: Proc. 7th conf. on Visualization (VIS 1996), Los Alamitos, CA, USA, p. 87 (1996)Google Scholar
  4. 4.
    Bladh, T., Carr, D., Scholl, J.: Extending tree-maps to three dimensions: a comparative study. In: Masoodian, M., Jones, S., Rogers, B. (eds.) APCHI 2004. LNCS, vol. 3101, pp. 50–59. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  5. 5.
    Chignell, M.H., Poblete, F., Zuberec, S.: An exploration in the design space of three dimensional hierarchies. In: Human Factors and Ergonomics Society Annual Meeting Proc., pp. 333–337 (1993)Google Scholar
  6. 6.
    Elias, R., Laganiere, R.: The disparity pyramid: An irregular pyramid approach for stereoscopic image analysis. In: VI 1999, Trois-Rivières, Canada, May 1999, pp. 352–359 (1999)Google Scholar
  7. 7.
    Hartman, N.P., Tanimoto, S.: A hexagonal pyramid data structure for image processing. IEEE Trans. on Systems, Man and Cybernetics 14, 247–256 (1984)CrossRefGoogle Scholar
  8. 8.
    Jolion, J.M., Montavert, A.: The adaptive pyramid: A framework for 2d image analysis. CVGIP: Image Understanding 55(3), 339–348 (1991)CrossRefGoogle Scholar
  9. 9.
    Jolion, J.M., Rosenfeld, A.: A Pyramid Frame-work for Early Vision. Kluwer Academic Publishers, Dordrecht (1994)CrossRefGoogle Scholar
  10. 10.
    Keim, D.A., Ankerst, M., Kriegel, H.-P.: Recursive pattern: A technique for visualizing very large amounts of data. In: Proc. 6th VIS 1995, Washington, DC, USA, pp. 279–286, 463 (1995)Google Scholar
  11. 11.
    Keim, D.A., Kriegel, H.: VisDB: Database exploration using multidimensional visualization. In: Computer Graphics and Applications (1994)Google Scholar
  12. 12.
    Keim, D.A., Kriegel, H.-P.: Visualization techniques for mining large databases: A comparison. IEEE Trans. on Knowl. and Data Eng. 8(6), 923–938 (1996)CrossRefGoogle Scholar
  13. 13.
    Kerren, A.: Explorative analysis of graph pyramids using interactive visualization techniques. In: Proc. 5th IASTED VIIP 2005, Benidorm, Spain, pp. 685–690 (2005)Google Scholar
  14. 14.
    Kerren, A., Breier, F., Kgler, P.: Dgcvis: An exploratory 3d visualization of graph pyramids. In: Proc. 2nd CMV 2004, London, UK, pp. 73–83 (2004)Google Scholar
  15. 15.
    Kropatsch, W.G.: A pyramid that grows by powers of 2. Pattern Recognition Letters 3, 315–322 (1985)CrossRefGoogle Scholar
  16. 16.
    Plaisant, C., Grosjean, J., Bederson, B.B.: Spacetree: Supporting exploration in large node link tree, design evolution and empirical evaluation. In: Proc. IEEE InfoVis 2002, Washington, DC, USA, p. 57 (2002)Google Scholar
  17. 17.
    Rekimoto, J., Green, M.: The information cube: Using transparency in 3d information visualization. In: Proc. 3rd WITS 1993, pp. 125–132 (1993)Google Scholar
  18. 18.
    Robertson, G.G., Mackinlay, J.D., Card, S.K.: Cone trees: animated 3d visualizations of hierarchical information. In: Proc. CHI 1991, New York, USA, pp. 189–194 (1991)Google Scholar
  19. 19.
    Shneiderman, B.: Tree visualization with tree-maps: 2-d space-filling approach. ACM Trans. Graph. 11(1), 92–99 (1992)CrossRefzbMATHGoogle Scholar
  20. 20.
    Stasko, J.T., Zhang, E.: Focus+context display and navigation techniques for enhancing radial, space-filling hierarchy visualizations. In: INFOVIS, p. 57 (2000)Google Scholar
  21. 21.
    Wattenberg, M.: Visualizing the stock market. In: CHI 1999 extended abstracts on Human factors in computing systems, New York, USA, pp. 188–189 (1999)Google Scholar
  22. 22.
    Yang, J., Ward, M.O., Rundensteiner, E.A.: Interring: An interactive tool for visually navigating and manipulating hierarchical structures. In: Proc. IEEE InfoVis 2002, Washington, DC, USA, p. 77 (2002)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Rimon Elias
    • 1
  • Mohab Al Ashraf
    • 1
  • Omar Aly
    • 1
  1. 1.Faculty of Digital Media Engineering and TechnologyGerman University in CairoNew Cairo CityEgypt

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