The Gaussian and mean curvature criteria for curvature continuity between surfaces
Computer Aided Geometric Design
Computer Aided Geometric Design
Smoothing of curves and surfaces
Computer Aided Geometric Design
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The use of Bezier curves or Bezier surfaces as 'faired' interpolation (approximation) curves or surfaces occasionally yields inflection points or changes of sign of the Gaussian curvature which are undesirable in some applications, notably the fairing of ship lines (surfaces) or the fairing of car body surfaces. In the following investigation we use a polarity to detect such undesirable points, then these points can be removed by the use of the well known Bezier techniques.