Approximate algebraic methods for curves and surfaces and their applications

Bert Jüttler*, Pavel Chalmovianský, Mohamed Shalaby, Elmar Wurm

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

5 Scopus citations


We report on approximate techniques for conversion between the implicit and the parametric representation of curves and surfaces, i.e., implicitization and parameterization. It is shown that these techniques are able to handle general free-form surfaces, and they can therefore be used to exploit the duality of implicit and parametric representations. In addition, we discuss several applications of these techniques, such as detection of self-intersections, ray-tracing, footpoint computation and parameterization of scattered data for parametric curve or surface fitting.

Original languageEnglish (US)
Number of pages6
StatePublished - 2005
Externally publishedYes
EventSpring Conference on Computer Graphics, SCCG 2005 - Budmerice, Slovakia
Duration: May 12 2006May 14 2006


OtherSpring Conference on Computer Graphics, SCCG 2005


  • Approximation
  • Distance bounds
  • Footpoint computation
  • Implicitization
  • Intersections and self-intersections
  • Parameterization
  • Parameterizing scattered data
  • Ray-tracing

ASJC Scopus subject areas

  • General Engineering


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