Semantics and mathematics of scientific data sampling

  • David T. Kao
  • R. Daniel Bergeron
  • Michael J. Cullinane
  • Ted M. Sparr
Workshop Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1183)


Data sampling is the first step in the process of scientific data analysis. This paper focuses on some mathematical aspects of data sampling. From this perspective, data are viewed as mathematical functions instead of just values. We show that continuity is the single most important quality of data (viewed as functions) which makes scientific data analysis and visualization meaningful and/or possible. By separating issues related to data functions from those related to the domains of data functions, we are able to define continuous data in two distinct contexts. This paper also provides a framework and the necessary mathematical language for the modeling and description of data.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • David T. Kao
    • 1
  • R. Daniel Bergeron
    • 1
  • Michael J. Cullinane
    • 2
  • Ted M. Sparr
    • 1
  1. 1.Department of Computer ScienceUniversity of New HampshireUSA
  2. 2.Department of MathematicsUniversity of New HampshireUSA

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