Curvature and the Fairness of Curves and Surfaces

  • Authors:
  • Gerald Farin;Nickolas Sapidis

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Computer Graphics and Applications
  • Year:
  • 1989

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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.