• DocumentCode
    1526210
  • Title

    How many rational parametric cubic curves are there? I. Inflection points

  • Author

    Blinn, James F.

  • Volume
    19
  • Issue
    4
  • fYear
    1999
  • Firstpage
    84
  • Lastpage
    87
  • Abstract
    In his never-ending quest to build intuition about the relationship between algebra and geometry, the author turns his attention to cubic curves. The basic question is this: what sorts of shapes can a given symbolic expression generate? The ultimate goal is to transform an arbitrary parametric cubic curve both geometrically and parametrically to match one of a set of canonical simple algebraic forms
  • Keywords
    computational geometry; curve fitting; algebra; geometry; inflection points; rational parametric cubic curves; shapes; symbolic expression; Differential equations; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.773968
  • Filename
    773968