Curvature and the fairness of curves and surfaces

Gerald Farin, Nickolas Sapidis

Research output: Contribution to journal › Article

120 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)52-57
Number of pages6
JournalIEEE Computer Graphics and Applications
Volume9
Issue number2
DOIs
StatePublished - Mar 1989

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ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software

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Curvature and the fairness of curves and surfaces. / Farin, Gerald; Sapidis, Nickolas.

In: IEEE Computer Graphics and Applications, Vol. 9, No. 2, 03.1989, p. 52-57.

Research output: Contribution to journal › Article

Farin, G & Sapidis, N 1989, 'Curvature and the fairness of curves and surfaces', IEEE Computer Graphics and Applications, vol. 9, no. 2, pp. 52-57. https://doi.org/10.1109/38.19051
Farin G, Sapidis N. Curvature and the fairness of curves and surfaces. IEEE Computer Graphics and Applications. 1989 Mar;9(2):52-57. https://doi.org/10.1109/38.19051
Farin, Gerald ; Sapidis, Nickolas. / Curvature and the fairness of curves and surfaces. In: IEEE Computer Graphics and Applications. 1989 ; Vol. 9, No. 2. pp. 52-57.
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