Numerical estimation of the curvature of surfaces

  • Authors:
  • P. H. Todd;R. J. Y. McLeod

  • Affiliations:
  • Dept of Anatomy, Dundee University, Dundee, Scotland, UK;Tektronix, Beaverton, OR, USA

  • Venue:
  • Computer-Aided Design
  • Year:
  • 1986

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Abstract

Meusnier's and Euler's theorems relating to surface curvature are given as is a brief discussion on the Dupin indicatrix. The connection between Gaussian curvature and growth ratio is outlined. A method for approximating the Dupin indicatrix from surface-point data is given and, by way of comparison, a method of obtaining surface curvature information from a local quadric interpolant. Numerical examples are given and discussed