Filling Holes with B-spline Surfaces
Journal for geometry and graphics, Tome 6 (2002) no. 1, pp. 083-098
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This paper presents an algorithm for filling holes with polynomial tensor product B-spline surfaces of degree (3, 2). The B-spline surface is constructed as a tube shaped surface which is attached to the boundary of the hole at one end and is tied up in a closing point at the other end. The patches around the closing point are degenerate three-sided patches. The unknown control points and shape influencing tangent magnitudes of the B-spline surface are computed from boundary conditions and fairness criteria by minimizing appropriate energy functions.