Abstract
A method of fairing tensor product B-spline surfaces is described. The technique is based on automatic repositioning of the surface control points by a constrained minimization algorithm. The objective function is based on a measure of the surface curvature, and the constraint is a measure of the distance between the original and the modified surfaces. Changes in surface shapedare analysed from illustrations of plane sections, contour plots of surface slope and Gaussian curvature, and colour plots of Gaussian curvature. These illustrations indicate that the present form of the technique is effective in some circumstances and suggest that improved implementations will produce more generally useful results.
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