• DocumentCode
    766133
  • Title

    Geometric continuity of parametric curves: three equivalent characterizations

  • Author

    Barsky, Brian A. ; DeRose, Tony D.

  • Author_Institution
    Comput. Graphics Lab., California Univ., Berkeley, CA, USA
  • Volume
    9
  • Issue
    6
  • fYear
    1989
  • Firstpage
    60
  • Lastpage
    69
  • Abstract
    Some of the important basic results on geometric continuity of curves are presented in a self-contained manner. The paper covers parametric representation and smoothness, parametric continuity, reparameterization and equivalent parameterization, beta-constraints, and arc-length parameterization.<>
  • Keywords
    computational geometry; curve fitting; arc-length parameterization; beta-constraints; equivalent parameterization; geometric continuity; parametric continuity; parametric curves; reparameterization; smoothness; Application software; Computer graphics; Design automation; Equations; Shape control; Spline; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.41470
  • Filename
    41470