Visualization by Examples: Mapping Data to Visual Representations using Few Correspondences

  • Marc Alexa
  • Wolfgang Müller
Conference paper
Part of the Eurographics book series (EUROGRAPH)


In this paper we propose a new approach for the generation of visual scales for the visualization of scalar and multivariate data. Based on the specification of only a few correspondences between the data set and elements of a space of visual representations complex visualization mappings are produced. The foundation of this approach is the introduction of a multidimensional space of visual representations. The mapping between these spaces can be defined by approximating or satisfying the user defined relations between data values and visual atributes.


Visual Representation Multivariate Data Multidimensional Space Affine Mapping Graphical Object 
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.


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  1. 1.
    Marc Alexa and Wolfgang Müller. The Morphing Space. Proceedings of the WSCG ‘89, Plzen, Chzech Republic, 1999Google Scholar
  2. 2.
    Marc Alexa and Wolfgang Müller. Visualization by Metamorphosis. IEEE Visualization ‘88 Late Breaking Hot Topics Proceedings, 33–36, 1998Google Scholar
  3. 3.
    Nur Arad and Daniel Reisfeld. Image Warping Using few Anchor Points and Radial Basis Functions. Computer Graphics Forum, 14, 1, 23–29, 1995CrossRefGoogle Scholar
  4. 4.
    J. Bertin. Semiology of Graphics, The University of Wisconsin Press, 1983Google Scholar
  5. 5.
    Richard Boyer and David Savageau. Places Rated Almanac. Rand McNally, 1985, also available from
  6. 6.
    Ken Brodlie. A classification scheme for scientific visualization. in: A. Earnshaw and D. Watson: Animation and Scientific Visualization–Tools and Applications. Academic Press Ltd., London, 1993, pp. 125–140Google Scholar
  7. 7.
    Andreas Buja, John Alan McDonald, John Michalak, and Werner Stuetzle. Interactive Data Visualization using Focusing and Linking. Proc. IEEE Visualization ‘81, Boston, 1991, pp. 156–163Google Scholar
  8. 8.
    H. Chernoff. The use of faces to represent points in k-dimensional space graphically. Journal of American Statistical Association, 63, 361–368, 1973CrossRefGoogle Scholar
  9. 9.
    William S. Cleveland. The Elements of Graphing Data, Wadsworth Advanced Book Program, Pacific Grove, 1985Google Scholar
  10. 10.
    Nira Dyn. Interpolation and approximation by radial and related functions. Approximation Theory VI, Vol. 1, Academic Press, 1989, pp. 211–234Google Scholar
  11. 11.
    Gene H. Golub and Charles F. van Loan. Matrix Computations. The Johns Hopkins University Press, Baltimore, 1983MATHGoogle Scholar
  12. 12.
    Wolfgang Müller and Marc Alexa. Using Morphing for Information Visualization. ACM Workshop on New Paradigms in Information Visualization and Manipulation, Bethesda, 1998Google Scholar
  13. 13.
    Ronald M. Pickett and Georges G. Grinstein. Iconographics display for visualizing multidimensional data. Proceedings IEEE Conference on Systems, Man, and Cybernetics, 514–519, 1988CrossRefGoogle Scholar
  14. 14.
    William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. Numerical Recipes. Cambridge University Press, Cambridge, 1992Google Scholar
  15. 15.
    Penny Rheingans. Color, Change, and Control for Quantitative Data Display. Proc. IEEE Visualization ‘82, Boston, 1992, pp. 252–259CrossRefGoogle Scholar
  16. 16.
    Detlef Ruprecht and Heinrich Müller. Image Warping with Scattered Data Interpolation. IEEE Computer Graphics and Applications, 15, 2, 37–43, 1995CrossRefGoogle Scholar
  17. 17.
    Edward R. Tufte. The Visual Display of Quantitative Information. Graphics Press, Cheshire, Connecticut, 1983Google Scholar

Copyright information

© Springer-Verlag/Wien 1999

Authors and Affiliations

  • Marc Alexa
    • 1
  • Wolfgang Müller
    • 1
  1. 1.Department of Computer Science, Interactive Graphics System GroupDarmstadt University of TechnologyDarmstadtGermany

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