Classification using normal curves

Helmut Pottmann, Tony D. Derose

Research output: Contribution to conferencePaperpeer-review

6 Scopus citations


The analysis of parametric curves for the presence of shape characteristics such as loops, cusps, and inflections is considered. In contrast to previous methods that use heavily algebraic techniques to study polynomial cubic curves, our approach, based on the classical notion of normal curves, is predominately geometric. The approach not only provides new insight into the cubic polynomial case, it can also be applied to rational curves and to curves of degree greater than three. We demonstrate the use of the technique to analyze planar cubic curves, planar rational cubic curves, and polynomial curves of degree four in the plane and in three-space.

Original languageEnglish (US)
Number of pages12
StatePublished - Feb 1 1992
EventCurves and Surfaces in Computer Vision and Graphics II 1991 - Boston, United States
Duration: Nov 14 1991Nov 15 1991


ConferenceCurves and Surfaces in Computer Vision and Graphics II 1991
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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