Visualizing functions on a surface

Helmut Pottmann*, Hans Hagen, Andreas Divivier

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We describe techniques for the visualization of a scalar‐valued function defined over a surface. The main interest focuses on a 4D graph of such a function and projections of this graph into 3‐space. The paper also contains methods for testing the smoothness of interpolants over surfaces and a short tutorial on fundamental ideas of multidimensional descriptive geometry which can be helpful in several areas of scientific visualization.

Original languageEnglish (US)
Pages (from-to)52-58
Number of pages7
JournalThe Journal of Visualization and Computer Animation
Volume2
Issue number2
DOIs
StatePublished - Jan 1 1991

Keywords

  • Functions on surfaces
  • Isophotes
  • Multidimensional geometry
  • Scientific visualization

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design

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