• DocumentCode
    838750
  • Title

    Curvature and the fairness of curves and surfaces

  • Author

    Farin, Gerald ; Sapidis, Nickolas

  • Author_Institution
    Dept. of Comput. Sci., Arizona State Univ., Tempe, AZ, USA
  • Volume
    9
  • Issue
    2
  • fYear
    1989
  • fDate
    3/1/1989 12:00:00 AM
  • Firstpage
    52
  • Lastpage
    57
  • Abstract
    The use of curvature plots for the design of curves that have to meet aesthetic requirements is discussed. The aim is to emphasize the usefulness of curvature as a measure for curve fairness. A local method to optimize the curvature plot of a given cubic spline curve is presented. It automatically determines where the curve is to be faired and can be applied repeatedly. A straightforward generalization to surfaces is easy to formulate.<>
  • Keywords
    computational geometry; curve fitting; splines (mathematics); aesthetic requirements; computational geometry; cubic spline curve; curvature plot; curvature plots; curve fairness; Application software; CADCAM; Computer aided manufacturing; Computer graphics; Design automation; Inspection; Process design; Production; Shape control; Spline;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.19051
  • Filename
    19051